Expression, p6

Time bar (total: 6.9s)

analyze1.0ms (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)

sample3.2s (46.9%)

Results
3.2s8256×body256valid
Bogosity

preprocess288.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
2014×unsub-neg
1530×fma-def
1452×fma-neg
1308×associate-+l-
754×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052312
1128300
2381300
31165300
42501300
54122300
65962300
76824300
87356300
97439300
107444300
117444300
127444300
137445300
147445300
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)
(*.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 d (+.f64 b (+.f64 a c))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 a c))) 2)
(*.f64 (+.f64 (neg.f64 a) (+.f64 b (+.f64 c d))) 2)
(*.f64 2 (+.f64 (+.f64 b (+.f64 c d)) (neg.f64 a)))
(*.f64 2 (-.f64 (+.f64 b (+.f64 c d)) a))
(*.f64 2 (+.f64 b (+.f64 c (-.f64 d a))))
(*.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 (+.f64 c d) (-.f64 a b)))
(*.f64 2 (+.f64 a (+.f64 c (-.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 d (-.f64 b c))))
(*.f64 2 (+.f64 a (+.f64 b (-.f64 d 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 d b))))
(*.f64 (+.f64 b (+.f64 a (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 a c))) 2)
(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 a c))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 c a))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 a c))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 a c))) 2)
(*.f64 (+.f64 a (+.f64 d (+.f64 c b))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 a c))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 d c))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 a c))) 2)
Symmetry

(sort a b c d)

Compiler

Compiled 13 to 9 computations (30.8% 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
▶95.4%
(*.f64 (+.f64 d (+.f64 b (+.f64 a c))) 2)
▶94.2%
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
▶95.4%
(*.f64 (+.f64 d (+.f64 b (+.f64 a c))) 2)
▶94.2%
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
Compiler

Compiled 52 to 36 computations (30.8% saved)

localize51.0ms (0.7%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓99.7%
(+.f64 b (+.f64 a c))
✓95.8%
(+.f64 d (+.f64 b (+.f64 a c)))
✓99.3%
(+.f64 b (+.f64 c d))
✓95.8%
(+.f64 a (+.f64 b (+.f64 c d)))
Compiler

Compiled 63 to 17 computations (73% saved)

series5.0ms (0.1%)

Counts
4 → 105
Calls

42 calls:

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

rewrite121.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
1406×log-prod
1196×fma-neg
564×expm1-udef
564×log1p-udef
468×hypot-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01264
130164
2527264
Stop Event
1×node limit
Counts
4 → 292
Calls
Call 1
Inputs
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 b (+.f64 c d))
(+.f64 d (+.f64 b (+.f64 a c)))
(+.f64 b (+.f64 a c))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 c d) (+.f64 a b)))) 1)
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (+.f64 b (+.f64 c d)))) (/.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 a (+.f64 b (+.f64 c d)))))
(-.f64 (/.f64 (*.f64 d d) (-.f64 (-.f64 d (+.f64 a c)) b)) (/.f64 (pow.f64 (+.f64 a (+.f64 b c)) 2) (-.f64 (-.f64 d (+.f64 a c)) b)))
(*.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 1)
(*.f64 1 (+.f64 (+.f64 c d) (+.f64 a b)))
(*.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 2) (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(*.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 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d)))))
(*.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (/.f64 1 (-.f64 a (+.f64 b (+.f64 c d)))))
(*.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2)) (/.f64 1 (-.f64 (-.f64 d (+.f64 a c)) b)))
(/.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 a (+.f64 b (+.f64 c d))) (-.f64 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2))))
(/.f64 1 (/.f64 (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d))) (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 d (+.f64 a c)) b) (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 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 (*.f64 a a) (*.f64 a (+.f64 b (+.f64 c d))))))
(/.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3)) (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d))))
(/.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3)) (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 2) (-.f64 (*.f64 d d) (*.f64 d (+.f64 a (+.f64 b c))))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (-.f64 a (+.f64 b (+.f64 c d))))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2)) (-.f64 (-.f64 d (+.f64 a c)) b))
(/.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 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2))) (neg.f64 (-.f64 a (+.f64 b (+.f64 c d)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3))) (neg.f64 (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d)))))
(/.f64 (neg.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2))) (neg.f64 (-.f64 (-.f64 d (+.f64 a c)) b)))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 (+.f64 a c) 3)) (+.f64 (*.f64 (+.f64 b d) (+.f64 b d)) (-.f64 (pow.f64 (+.f64 a c) 2) (*.f64 (+.f64 b d) (+.f64 a c)))))
(/.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 (pow.f64 (+.f64 a (+.f64 b c)) 2) (*.f64 d d)) (-.f64 (+.f64 a (+.f64 b c)) d))
(/.f64 (fma.f64 (+.f64 b d) (+.f64 b d) (neg.f64 (pow.f64 (+.f64 a c) 2))) (-.f64 (+.f64 b d) (+.f64 a c)))
(/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (*.f64 a a)) (-.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 c d) (+.f64 a b)) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 a b)))))
(log.f64 (*.f64 (exp.f64 a) (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (+.f64 b (+.f64 c d)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d))))))
(log.f64 (*.f64 (exp.f64 d) (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (exp.f64 (+.f64 a (+.f64 b c)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c))))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (exp.f64 (+.f64 a b))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (*.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (*.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (exp.f64 (+.f64 a b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (*.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (*.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (*.f64 (exp.f64 (+.f64 b (+.f64 c d))) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))) (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (exp.f64 (+.f64 a c)) (exp.f64 (+.f64 b d))))
(log.f64 (*.f64 (exp.f64 (+.f64 a c)) (*.f64 (exp.f64 d) (exp.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a c))) (exp.f64 (+.f64 b d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a c))) (*.f64 (exp.f64 d) (exp.f64 b))))
(log.f64 (*.f64 (exp.f64 (+.f64 a (+.f64 b c))) (+.f64 1 (expm1.f64 d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c)))) (exp.f64 d)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c)))) (+.f64 1 (expm1.f64 d))))
(log.f64 (*.f64 (exp.f64 (+.f64 a b)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (*.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (+.f64 c d))))
(log.f64 (*.f64 (*.f64 (exp.f64 a) (exp.f64 b)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (*.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 c d))))
(log.f64 (*.f64 (*.f64 (exp.f64 b) (exp.f64 a)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (exp.f64 (+.f64 b d)) (+.f64 1 (expm1.f64 (+.f64 a c)))))
(log.f64 (*.f64 (*.f64 (exp.f64 d) (exp.f64 b)) (exp.f64 (+.f64 a c))))
(log.f64 (*.f64 (*.f64 (exp.f64 d) (exp.f64 b)) (+.f64 1 (expm1.f64 (+.f64 a c)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(exp.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(fma.f64 1 a (+.f64 b (+.f64 c d)))
(fma.f64 1 d (+.f64 a (+.f64 b c)))
(fma.f64 1 (+.f64 b (+.f64 c d)) a)
(fma.f64 1 (+.f64 a (+.f64 b c)) d)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 b c))) 2) (cbrt.f64 (+.f64 a (+.f64 b c))) d)
(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 d) 2) (cbrt.f64 d) (+.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 b (+.f64 c d)))
(fma.f64 (sqrt.f64 (+.f64 a (+.f64 b c))) (sqrt.f64 (+.f64 a (+.f64 b c))) d)
(fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 a (+.f64 b c)))
(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 (*.f64 b b) (-.f64 b (+.f64 c d))) (/.f64 (pow.f64 (+.f64 c 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 (+.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 (*.f64 b b) (pow.f64 (+.f64 c d) 2)) (/.f64 1 (-.f64 b (+.f64 c d))))
(/.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 b (+.f64 c d)) (-.f64 (*.f64 b b) (pow.f64 (+.f64 c d) 2))))
(/.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 (*.f64 b b) (*.f64 b (+.f64 c d)))))
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 c d) 2)) (-.f64 b (+.f64 c d)))
(/.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 (*.f64 b b) (pow.f64 (+.f64 c d) 2))) (neg.f64 (-.f64 b (+.f64 c d))))
(/.f64 (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)) (+.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (-.f64 (*.f64 d d) (*.f64 (+.f64 b c) d))))
(/.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 b b)) (-.f64 (+.f64 c d) b))
(/.f64 (-.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d)) (-.f64 (+.f64 b c) d))
(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 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (+.f64 c d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (exp.f64 c) (exp.f64 (+.f64 b d))))
(log.f64 (*.f64 (exp.f64 c) (*.f64 (exp.f64 d) (exp.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (exp.f64 (+.f64 b d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (*.f64 (exp.f64 d) (exp.f64 b))))
(log.f64 (*.f64 (exp.f64 d) (exp.f64 (+.f64 b c))))
(log.f64 (*.f64 (exp.f64 d) (*.f64 (exp.f64 b) (exp.f64 c))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (exp.f64 (+.f64 b c))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (*.f64 (exp.f64 b) (exp.f64 c))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (+.f64 1 (expm1.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (exp.f64 b)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (+.f64 1 (expm1.f64 b))))
(log.f64 (*.f64 (exp.f64 (+.f64 b c)) (+.f64 1 (expm1.f64 d))))
(log.f64 (*.f64 (*.f64 (exp.f64 b) (exp.f64 c)) (exp.f64 d)))
(log.f64 (*.f64 (*.f64 (exp.f64 b) (exp.f64 c)) (+.f64 1 (expm1.f64 d))))
(log.f64 (*.f64 (exp.f64 (+.f64 b d)) (exp.f64 c)))
(log.f64 (*.f64 (exp.f64 (+.f64 b d)) (+.f64 1 (expm1.f64 c))))
(log.f64 (*.f64 (*.f64 (exp.f64 d) (exp.f64 b)) (exp.f64 c)))
(log.f64 (*.f64 (*.f64 (exp.f64 d) (exp.f64 b)) (+.f64 1 (expm1.f64 c))))
(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 (+.f64 c d) b)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 c d))
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 c d))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 c d) (+.f64 a b)))) 1)
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (+.f64 b (+.f64 c d)))) (/.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 a (+.f64 b (+.f64 c d)))))
(-.f64 (/.f64 (*.f64 d d) (-.f64 (-.f64 d (+.f64 a c)) b)) (/.f64 (pow.f64 (+.f64 a (+.f64 b c)) 2) (-.f64 (-.f64 d (+.f64 a c)) b)))
(*.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 1)
(*.f64 1 (+.f64 (+.f64 c d) (+.f64 a b)))
(*.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 2) (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(*.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 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d)))))
(*.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (/.f64 1 (-.f64 a (+.f64 b (+.f64 c d)))))
(*.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2)) (/.f64 1 (-.f64 (-.f64 d (+.f64 a c)) b)))
(/.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 a (+.f64 b (+.f64 c d))) (-.f64 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2))))
(/.f64 1 (/.f64 (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d))) (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 d (+.f64 a c)) b) (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 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 (*.f64 a a) (*.f64 a (+.f64 b (+.f64 c d))))))
(/.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3)) (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d))))
(/.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3)) (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 2) (-.f64 (*.f64 d d) (*.f64 d (+.f64 a (+.f64 b c))))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (-.f64 a (+.f64 b (+.f64 c d))))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2)) (-.f64 (-.f64 d (+.f64 a c)) b))
(/.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 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2))) (neg.f64 (-.f64 a (+.f64 b (+.f64 c d)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3))) (neg.f64 (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d)))))
(/.f64 (neg.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2))) (neg.f64 (-.f64 (-.f64 d (+.f64 a c)) b)))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 (+.f64 a c) 3)) (+.f64 (*.f64 (+.f64 b d) (+.f64 b d)) (-.f64 (pow.f64 (+.f64 a c) 2) (*.f64 (+.f64 b d) (+.f64 a c)))))
(/.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 (pow.f64 (+.f64 a (+.f64 b c)) 2) (*.f64 d d)) (-.f64 (+.f64 a (+.f64 b c)) d))
(/.f64 (fma.f64 (+.f64 b d) (+.f64 b d) (neg.f64 (pow.f64 (+.f64 a c) 2))) (-.f64 (+.f64 b d) (+.f64 a c)))
(/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (*.f64 a a)) (-.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 c d) (+.f64 a b)) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 a b)))))
(log.f64 (*.f64 (exp.f64 a) (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (+.f64 b (+.f64 c d)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d))))))
(log.f64 (*.f64 (exp.f64 d) (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (exp.f64 (+.f64 a (+.f64 b c)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c))))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (exp.f64 (+.f64 a b))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (*.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (*.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (exp.f64 (+.f64 a b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (*.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (*.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (*.f64 (exp.f64 (+.f64 b (+.f64 c d))) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))) (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (exp.f64 (+.f64 a c)) (exp.f64 (+.f64 b d))))
(log.f64 (*.f64 (exp.f64 (+.f64 a c)) (*.f64 (exp.f64 d) (exp.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a c))) (exp.f64 (+.f64 b d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a c))) (*.f64 (exp.f64 d) (exp.f64 b))))
(log.f64 (*.f64 (exp.f64 (+.f64 a (+.f64 b c))) (+.f64 1 (expm1.f64 d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c)))) (exp.f64 d)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c)))) (+.f64 1 (expm1.f64 d))))
(log.f64 (*.f64 (exp.f64 (+.f64 a b)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (*.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (+.f64 c d))))
(log.f64 (*.f64 (*.f64 (exp.f64 a) (exp.f64 b)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (*.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 c d))))
(log.f64 (*.f64 (*.f64 (exp.f64 b) (exp.f64 a)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (exp.f64 (+.f64 b d)) (+.f64 1 (expm1.f64 (+.f64 a c)))))
(log.f64 (*.f64 (*.f64 (exp.f64 d) (exp.f64 b)) (exp.f64 (+.f64 a c))))
(log.f64 (*.f64 (*.f64 (exp.f64 d) (exp.f64 b)) (+.f64 1 (expm1.f64 (+.f64 a c)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(exp.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(fma.f64 1 a (+.f64 b (+.f64 c d)))
(fma.f64 1 d (+.f64 a (+.f64 b c)))
(fma.f64 1 (+.f64 b (+.f64 c d)) a)
(fma.f64 1 (+.f64 a (+.f64 b c)) d)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 b c))) 2) (cbrt.f64 (+.f64 a (+.f64 b c))) d)
(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 d) 2) (cbrt.f64 d) (+.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 b (+.f64 c d)))
(fma.f64 (sqrt.f64 (+.f64 a (+.f64 b c))) (sqrt.f64 (+.f64 a (+.f64 b c))) d)
(fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 a (+.f64 b c)))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 b (+.f64 c d)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a (+.f64 b c)))) 1)
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (+.f64 a c))) (/.f64 (pow.f64 (+.f64 a c) 2) (-.f64 b (+.f64 a c))))
(*.f64 (+.f64 a (+.f64 b c)) 1)
(*.f64 1 (+.f64 a (+.f64 b c)))
(*.f64 (cbrt.f64 (+.f64 a (+.f64 b c))) (pow.f64 (cbrt.f64 (+.f64 a (+.f64 b c))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 b c))) 2) (cbrt.f64 (+.f64 a (+.f64 b c))))
(*.f64 (sqrt.f64 (+.f64 a (+.f64 b c))) (sqrt.f64 (+.f64 a (+.f64 b c))))
(*.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 b 3)) (/.f64 1 (fma.f64 b b (*.f64 (+.f64 a c) (-.f64 (+.f64 a c) b)))))
(*.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 a c) 2)) (/.f64 1 (-.f64 b (+.f64 a c))))
(/.f64 1 (/.f64 (fma.f64 b b (*.f64 (+.f64 a c) (-.f64 (+.f64 a c) b))) (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 b 3))))
(/.f64 1 (/.f64 (-.f64 b (+.f64 a c)) (-.f64 (*.f64 b b) (pow.f64 (+.f64 a c) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 b 3)) (fma.f64 b b (*.f64 (+.f64 a c) (-.f64 (+.f64 a c) b))))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 b 3)) (+.f64 (pow.f64 (+.f64 a c) 2) (-.f64 (*.f64 b b) (*.f64 b (+.f64 a c)))))
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 a c) 2)) (-.f64 b (+.f64 a c)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 b 3))) (neg.f64 (fma.f64 b b (*.f64 (+.f64 a c) (-.f64 (+.f64 a c) b)))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 a c) 2))) (neg.f64 (-.f64 b (+.f64 a c))))
(/.f64 (+.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 c 3)) (+.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (-.f64 (*.f64 c c) (*.f64 (+.f64 a b) c))))
(/.f64 (-.f64 (pow.f64 (+.f64 a c) 2) (*.f64 b b)) (-.f64 (+.f64 a c) b))
(/.f64 (-.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (*.f64 c c)) (-.f64 (+.f64 a 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 (exp.f64 (+.f64 a (+.f64 b c))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c)))))
(log.f64 (*.f64 (exp.f64 a) (exp.f64 (+.f64 b c))))
(log.f64 (*.f64 (exp.f64 a) (*.f64 (exp.f64 b) (exp.f64 c))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (+.f64 b c))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (*.f64 (exp.f64 b) (exp.f64 c))))
(log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (+.f64 a c)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (+.f64 a c))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (+.f64 a c)))))
(log.f64 (*.f64 (exp.f64 c) (exp.f64 (+.f64 a b))))
(log.f64 (*.f64 (exp.f64 c) (*.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (*.f64 (exp.f64 c) (*.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (exp.f64 (+.f64 a b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (*.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (*.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (*.f64 (exp.f64 (+.f64 a c)) (+.f64 1 (expm1.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a c))) (exp.f64 b)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a c))) (+.f64 1 (expm1.f64 b))))
(log.f64 (*.f64 (exp.f64 (+.f64 a b)) (+.f64 1 (expm1.f64 c))))
(log.f64 (*.f64 (*.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 c)))
(log.f64 (*.f64 (*.f64 (exp.f64 a) (exp.f64 b)) (+.f64 1 (expm1.f64 c))))
(log.f64 (*.f64 (*.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 c)))
(log.f64 (*.f64 (*.f64 (exp.f64 b) (exp.f64 a)) (+.f64 1 (expm1.f64 c))))
(log.f64 (*.f64 (exp.f64 (+.f64 b c)) (exp.f64 a)))
(log.f64 (*.f64 (exp.f64 (+.f64 b c)) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (*.f64 (exp.f64 b) (exp.f64 c)) (exp.f64 a)))
(log.f64 (*.f64 (*.f64 (exp.f64 b) (exp.f64 c)) (+.f64 1 (expm1.f64 a))))
(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 1 b (+.f64 a c))
(fma.f64 1 (+.f64 a c) b)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a c)) 2) (cbrt.f64 (+.f64 a c)) b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 a c))
(fma.f64 (sqrt.f64 (+.f64 a c)) (sqrt.f64 (+.f64 a c)) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 a c))

simplify191.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1220×unswap-sqr
756×fma-neg
694×log-prod
632×distribute-rgt-in
624×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05059817
113919625
248139565
Stop Event
1×node limit
Counts
397 → 277
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 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 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 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 c)
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
b
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
b
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(+.f64 b c)
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
a
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
a
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(+.f64 a b)
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
c
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
c
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 c d) (+.f64 a b)))) 1)
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (+.f64 b (+.f64 c d)))) (/.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 a (+.f64 b (+.f64 c d)))))
(-.f64 (/.f64 (*.f64 d d) (-.f64 (-.f64 d (+.f64 a c)) b)) (/.f64 (pow.f64 (+.f64 a (+.f64 b c)) 2) (-.f64 (-.f64 d (+.f64 a c)) b)))
(*.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 1)
(*.f64 1 (+.f64 (+.f64 c d) (+.f64 a b)))
(*.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 2) (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
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(*.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d)))))
(*.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (/.f64 1 (-.f64 a (+.f64 b (+.f64 c d)))))
(*.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2)) (/.f64 1 (-.f64 (-.f64 d (+.f64 a c)) b)))
(/.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 a (+.f64 b (+.f64 c d))) (-.f64 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2))))
(/.f64 1 (/.f64 (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d))) (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 d (+.f64 a c)) b) (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 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 (*.f64 a a) (*.f64 a (+.f64 b (+.f64 c d))))))
(/.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3)) (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d))))
(/.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3)) (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 2) (-.f64 (*.f64 d d) (*.f64 d (+.f64 a (+.f64 b c))))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (-.f64 a (+.f64 b (+.f64 c d))))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2)) (-.f64 (-.f64 d (+.f64 a c)) b))
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(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2))) (neg.f64 (-.f64 a (+.f64 b (+.f64 c d)))))
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(/.f64 (neg.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2))) (neg.f64 (-.f64 (-.f64 d (+.f64 a c)) b)))
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(/.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 (pow.f64 (+.f64 a (+.f64 b c)) 2) (*.f64 d d)) (-.f64 (+.f64 a (+.f64 b c)) d))
(/.f64 (fma.f64 (+.f64 b d) (+.f64 b d) (neg.f64 (pow.f64 (+.f64 a c) 2))) (-.f64 (+.f64 b d) (+.f64 a c)))
(/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (*.f64 a a)) (-.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 c d) (+.f64 a b)) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 3) 1/3)
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(sqrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 2))
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 a b)))))
(log.f64 (*.f64 (exp.f64 a) (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (+.f64 b (+.f64 c d)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d))))))
(log.f64 (*.f64 (exp.f64 d) (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (exp.f64 (+.f64 a (+.f64 b c)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c))))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (exp.f64 (+.f64 a b))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (*.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (*.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (exp.f64 (+.f64 a b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (*.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (*.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (*.f64 (exp.f64 (+.f64 b (+.f64 c d))) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))) (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (exp.f64 (+.f64 a c)) (exp.f64 (+.f64 b d))))
(log.f64 (*.f64 (exp.f64 (+.f64 a c)) (*.f64 (exp.f64 d) (exp.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a c))) (exp.f64 (+.f64 b d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a c))) (*.f64 (exp.f64 d) (exp.f64 b))))
(log.f64 (*.f64 (exp.f64 (+.f64 a (+.f64 b c))) (+.f64 1 (expm1.f64 d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c)))) (exp.f64 d)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c)))) (+.f64 1 (expm1.f64 d))))
(log.f64 (*.f64 (exp.f64 (+.f64 a b)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (*.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (+.f64 c d))))
(log.f64 (*.f64 (*.f64 (exp.f64 a) (exp.f64 b)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (*.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 c d))))
(log.f64 (*.f64 (*.f64 (exp.f64 b) (exp.f64 a)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (exp.f64 (+.f64 b d)) (+.f64 1 (expm1.f64 (+.f64 a c)))))
(log.f64 (*.f64 (*.f64 (exp.f64 d) (exp.f64 b)) (exp.f64 (+.f64 a c))))
(log.f64 (*.f64 (*.f64 (exp.f64 d) (exp.f64 b)) (+.f64 1 (expm1.f64 (+.f64 a c)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(exp.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(fma.f64 1 a (+.f64 b (+.f64 c d)))
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(fma.f64 1 (+.f64 b (+.f64 c d)) a)
(fma.f64 1 (+.f64 a (+.f64 b c)) d)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 b c))) 2) (cbrt.f64 (+.f64 a (+.f64 b c))) d)
(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 d) 2) (cbrt.f64 d) (+.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 b (+.f64 c d)))
(fma.f64 (sqrt.f64 (+.f64 a (+.f64 b c))) (sqrt.f64 (+.f64 a (+.f64 b c))) d)
(fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 a (+.f64 b c)))
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(-.f64 (exp.f64 (log1p.f64 (+.f64 b (+.f64 c d)))) 1)
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (+.f64 c d))) (/.f64 (pow.f64 (+.f64 c d) 2) (-.f64 b (+.f64 c d))))
(*.f64 (+.f64 b (+.f64 c d)) 1)
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(/.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 c d) 2)) (-.f64 b (+.f64 c d)))
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(/.f64 (-.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d)) (-.f64 (+.f64 b c) d))
(pow.f64 (+.f64 b (+.f64 c d)) 1)
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(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 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (+.f64 c d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (exp.f64 c) (exp.f64 (+.f64 b d))))
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(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (exp.f64 b)))
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(log.f64 (*.f64 (exp.f64 (+.f64 b c)) (+.f64 1 (expm1.f64 d))))
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(log.f64 (*.f64 (exp.f64 (+.f64 b d)) (exp.f64 c)))
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(expm1.f64 (log1p.f64 (+.f64 b (+.f64 c d))))
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(exp.f64 (*.f64 (log.f64 (+.f64 b (+.f64 c d))) 1))
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(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 c d))
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 c d))
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(*.f64 (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(*.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 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d)))))
(*.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (/.f64 1 (-.f64 a (+.f64 b (+.f64 c d)))))
(*.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2)) (/.f64 1 (-.f64 (-.f64 d (+.f64 a c)) b)))
(/.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 a (+.f64 b (+.f64 c d))) (-.f64 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2))))
(/.f64 1 (/.f64 (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d))) (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 d (+.f64 a c)) b) (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 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 (*.f64 a a) (*.f64 a (+.f64 b (+.f64 c d))))))
(/.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3)) (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d))))
(/.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3)) (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 2) (-.f64 (*.f64 d d) (*.f64 d (+.f64 a (+.f64 b c))))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (-.f64 a (+.f64 b (+.f64 c d))))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2)) (-.f64 (-.f64 d (+.f64 a c)) b))
(/.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 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2))) (neg.f64 (-.f64 a (+.f64 b (+.f64 c d)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3))) (neg.f64 (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d)))))
(/.f64 (neg.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2))) (neg.f64 (-.f64 (-.f64 d (+.f64 a c)) b)))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 (+.f64 a c) 3)) (+.f64 (*.f64 (+.f64 b d) (+.f64 b d)) (-.f64 (pow.f64 (+.f64 a c) 2) (*.f64 (+.f64 b d) (+.f64 a c)))))
(/.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 (pow.f64 (+.f64 a (+.f64 b c)) 2) (*.f64 d d)) (-.f64 (+.f64 a (+.f64 b c)) d))
(/.f64 (fma.f64 (+.f64 b d) (+.f64 b d) (neg.f64 (pow.f64 (+.f64 a c) 2))) (-.f64 (+.f64 b d) (+.f64 a c)))
(/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (*.f64 a a)) (-.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 c d) (+.f64 a b)) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 a b)))))
(log.f64 (*.f64 (exp.f64 a) (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (+.f64 b (+.f64 c d)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d))))))
(log.f64 (*.f64 (exp.f64 d) (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (exp.f64 (+.f64 a (+.f64 b c)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c))))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (exp.f64 (+.f64 a b))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (*.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (*.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (exp.f64 (+.f64 a b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (*.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (*.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (*.f64 (exp.f64 (+.f64 b (+.f64 c d))) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))) (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (exp.f64 (+.f64 a c)) (exp.f64 (+.f64 b d))))
(log.f64 (*.f64 (exp.f64 (+.f64 a c)) (*.f64 (exp.f64 d) (exp.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a c))) (exp.f64 (+.f64 b d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a c))) (*.f64 (exp.f64 d) (exp.f64 b))))
(log.f64 (*.f64 (exp.f64 (+.f64 a (+.f64 b c))) (+.f64 1 (expm1.f64 d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c)))) (exp.f64 d)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c)))) (+.f64 1 (expm1.f64 d))))
(log.f64 (*.f64 (exp.f64 (+.f64 a b)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (*.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (+.f64 c d))))
(log.f64 (*.f64 (*.f64 (exp.f64 a) (exp.f64 b)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (*.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 c d))))
(log.f64 (*.f64 (*.f64 (exp.f64 b) (exp.f64 a)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (exp.f64 (+.f64 b d)) (+.f64 1 (expm1.f64 (+.f64 a c)))))
(log.f64 (*.f64 (*.f64 (exp.f64 d) (exp.f64 b)) (exp.f64 (+.f64 a c))))
(log.f64 (*.f64 (*.f64 (exp.f64 d) (exp.f64 b)) (+.f64 1 (expm1.f64 (+.f64 a c)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(exp.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(fma.f64 1 a (+.f64 b (+.f64 c d)))
(fma.f64 1 d (+.f64 a (+.f64 b c)))
(fma.f64 1 (+.f64 b (+.f64 c d)) a)
(fma.f64 1 (+.f64 a (+.f64 b c)) d)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 b c))) 2) (cbrt.f64 (+.f64 a (+.f64 b c))) d)
(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 d) 2) (cbrt.f64 d) (+.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 b (+.f64 c d)))
(fma.f64 (sqrt.f64 (+.f64 a (+.f64 b c))) (sqrt.f64 (+.f64 a (+.f64 b c))) d)
(fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 a (+.f64 b c)))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 b (+.f64 c d)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a (+.f64 b c)))) 1)
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (+.f64 a c))) (/.f64 (pow.f64 (+.f64 a c) 2) (-.f64 b (+.f64 a c))))
(*.f64 (+.f64 a (+.f64 b c)) 1)
(*.f64 1 (+.f64 a (+.f64 b c)))
(*.f64 (cbrt.f64 (+.f64 a (+.f64 b c))) (pow.f64 (cbrt.f64 (+.f64 a (+.f64 b c))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 b c))) 2) (cbrt.f64 (+.f64 a (+.f64 b c))))
(*.f64 (sqrt.f64 (+.f64 a (+.f64 b c))) (sqrt.f64 (+.f64 a (+.f64 b c))))
(*.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 b 3)) (/.f64 1 (fma.f64 b b (*.f64 (+.f64 a c) (-.f64 (+.f64 a c) b)))))
(*.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 a c) 2)) (/.f64 1 (-.f64 b (+.f64 a c))))
(/.f64 1 (/.f64 (fma.f64 b b (*.f64 (+.f64 a c) (-.f64 (+.f64 a c) b))) (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 b 3))))
(/.f64 1 (/.f64 (-.f64 b (+.f64 a c)) (-.f64 (*.f64 b b) (pow.f64 (+.f64 a c) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 b 3)) (fma.f64 b b (*.f64 (+.f64 a c) (-.f64 (+.f64 a c) b))))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 b 3)) (+.f64 (pow.f64 (+.f64 a c) 2) (-.f64 (*.f64 b b) (*.f64 b (+.f64 a c)))))
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 a c) 2)) (-.f64 b (+.f64 a c)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 b 3))) (neg.f64 (fma.f64 b b (*.f64 (+.f64 a c) (-.f64 (+.f64 a c) b)))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 a c) 2))) (neg.f64 (-.f64 b (+.f64 a c))))
(/.f64 (+.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 c 3)) (+.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (-.f64 (*.f64 c c) (*.f64 (+.f64 a b) c))))
(/.f64 (-.f64 (pow.f64 (+.f64 a c) 2) (*.f64 b b)) (-.f64 (+.f64 a c) b))
(/.f64 (-.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (*.f64 c c)) (-.f64 (+.f64 a 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 (exp.f64 (+.f64 a (+.f64 b c))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c)))))
(log.f64 (*.f64 (exp.f64 a) (exp.f64 (+.f64 b c))))
(log.f64 (*.f64 (exp.f64 a) (*.f64 (exp.f64 b) (exp.f64 c))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (+.f64 b c))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (*.f64 (exp.f64 b) (exp.f64 c))))
(log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (+.f64 a c)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (+.f64 a c))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (+.f64 a c)))))
(log.f64 (*.f64 (exp.f64 c) (exp.f64 (+.f64 a b))))
(log.f64 (*.f64 (exp.f64 c) (*.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (*.f64 (exp.f64 c) (*.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (exp.f64 (+.f64 a b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (*.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (*.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (*.f64 (exp.f64 (+.f64 a c)) (+.f64 1 (expm1.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a c))) (exp.f64 b)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a c))) (+.f64 1 (expm1.f64 b))))
(log.f64 (*.f64 (exp.f64 (+.f64 a b)) (+.f64 1 (expm1.f64 c))))
(log.f64 (*.f64 (*.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 c)))
(log.f64 (*.f64 (*.f64 (exp.f64 a) (exp.f64 b)) (+.f64 1 (expm1.f64 c))))
(log.f64 (*.f64 (*.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 c)))
(log.f64 (*.f64 (*.f64 (exp.f64 b) (exp.f64 a)) (+.f64 1 (expm1.f64 c))))
(log.f64 (*.f64 (exp.f64 (+.f64 b c)) (exp.f64 a)))
(log.f64 (*.f64 (exp.f64 (+.f64 b c)) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (*.f64 (exp.f64 b) (exp.f64 c)) (exp.f64 a)))
(log.f64 (*.f64 (*.f64 (exp.f64 b) (exp.f64 c)) (+.f64 1 (expm1.f64 a))))
(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 1 b (+.f64 a c))
(fma.f64 1 (+.f64 a c) b)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a c)) 2) (cbrt.f64 (+.f64 a c)) b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 a c))
(fma.f64 (sqrt.f64 (+.f64 a c)) (sqrt.f64 (+.f64 a c)) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 a c))
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 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
d
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
d
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.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 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
b
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
b
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 b (+.f64 c d))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
a
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
a
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
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(+.f64 c (+.f64 b (+.f64 a d)))
c
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(+.f64 a (+.f64 b (+.f64 c d)))
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(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
c
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(+.f64 a (+.f64 b (+.f64 c d)))
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(+.f64 b (+.f64 c a))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
b
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(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
b
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(+.f64 b (+.f64 c a))
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(+.f64 b (+.f64 c a))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(+.f64 b c)
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(+.f64 b (+.f64 c a))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
a
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(+.f64 a (+.f64 b c))
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a
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(+.f64 b (+.f64 c a))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
c
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(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
c
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(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(log.f64 (*.f64 (*.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 c)))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(log.f64 (*.f64 (*.f64 (exp.f64 b) (exp.f64 a)) (+.f64 1 (expm1.f64 c))))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(log.f64 (*.f64 (exp.f64 (+.f64 b c)) (exp.f64 a)))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(log.f64 (*.f64 (exp.f64 (+.f64 b c)) (+.f64 1 (expm1.f64 a))))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(log.f64 (*.f64 (*.f64 (exp.f64 b) (exp.f64 c)) (exp.f64 a)))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(log.f64 (*.f64 (*.f64 (exp.f64 b) (exp.f64 c)) (+.f64 1 (expm1.f64 a))))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(expm1.f64 (log1p.f64 (+.f64 a (+.f64 b c))))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(exp.f64 (log.f64 (+.f64 a (+.f64 b c))))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(exp.f64 (*.f64 (log.f64 (+.f64 a (+.f64 b c))) 1))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(log1p.f64 (expm1.f64 (+.f64 a (+.f64 b c))))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(fma.f64 1 b (+.f64 a c))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(fma.f64 1 (+.f64 a c) b)
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a c)) 2) (cbrt.f64 (+.f64 a c)) b)
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 a c))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(fma.f64 (sqrt.f64 (+.f64 a c)) (sqrt.f64 (+.f64 a c)) b)
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 a c))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))

eval91.0ms (1.3%)

Compiler

Compiled 4817 to 1944 computations (59.6% saved)

prune63.0ms (0.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2716277
Fresh000
Picked202
Done000
Total2736279
Accuracy
100.0%
Counts
279 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.4%
(*.f64 (+.f64 (+.f64 c d) a) 2)
▶12.4%
(*.f64 (+.f64 d (+.f64 c a)) 2)
▶100.0%
(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)
▶12.4%
(*.f64 (+.f64 c (+.f64 a d)) 2)
▶12.3%
(*.f64 c 2)
▶5.6%
(*.f64 b 2)
12.4%
(*.f64 (+.f64 (+.f64 c d) a) 2)
▶12.4%
(*.f64 (+.f64 d (+.f64 c a)) 2)
▶100.0%
(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)
▶12.4%
(*.f64 (+.f64 c (+.f64 a d)) 2)
▶12.3%
(*.f64 c 2)
▶5.6%
(*.f64 b 2)
Compiler

Compiled 240 to 180 computations (25% saved)

localize76.0ms (1.1%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓98.6%
(+.f64 d (+.f64 c a))
Compiler

Compiled 82 to 26 computations (68.3% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite72.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1986×pow1
1848×add-exp-log
1848×log1p-expm1-u
1848×expm1-log1p-u
178×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
116013
2242813
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(+.f64 d (+.f64 c a))
Outputs
(-.f64 (+.f64 1 (+.f64 d (+.f64 c a))) 1)
(-.f64 (/.f64 (*.f64 d d) (-.f64 d (+.f64 c a))) (/.f64 (pow.f64 (+.f64 c a) 2) (-.f64 d (+.f64 c a))))
(*.f64 (+.f64 d (+.f64 c a)) 1)
(*.f64 1 (+.f64 d (+.f64 c a)))
(*.f64 (cbrt.f64 (+.f64 d (+.f64 c a))) (pow.f64 (cbrt.f64 (+.f64 d (+.f64 c a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 d (+.f64 c a))) 2) (cbrt.f64 (+.f64 d (+.f64 c a))))
(*.f64 (sqrt.f64 (+.f64 d (+.f64 c a))) (sqrt.f64 (+.f64 d (+.f64 c a))))
(*.f64 (+.f64 (pow.f64 (+.f64 c a) 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d d (*.f64 (+.f64 c a) (-.f64 (+.f64 c a) d)))))
(*.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) 2)) (/.f64 1 (-.f64 d (+.f64 c a))))
(/.f64 1 (/.f64 (fma.f64 d d (*.f64 (+.f64 c a) (-.f64 (+.f64 c a) d))) (+.f64 (pow.f64 (+.f64 c a) 3) (pow.f64 d 3))))
(/.f64 1 (/.f64 (-.f64 d (+.f64 c a)) (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 c a) 3) (pow.f64 d 3)) (fma.f64 d d (*.f64 (+.f64 c a) (-.f64 (+.f64 c a) d))))
(/.f64 (+.f64 (pow.f64 (+.f64 c a) 3) (pow.f64 d 3)) (+.f64 (pow.f64 (+.f64 c a) 2) (-.f64 (*.f64 d d) (*.f64 d (+.f64 c a)))))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) 2)) (-.f64 d (+.f64 c a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 c a) 3) (pow.f64 d 3))) (neg.f64 (fma.f64 d d (*.f64 (+.f64 c a) (-.f64 (+.f64 c a) d)))))
(/.f64 (neg.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) 2))) (neg.f64 (-.f64 d (+.f64 c a))))
(/.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (+.f64 (*.f64 (+.f64 d c) (+.f64 d c)) (-.f64 (*.f64 a a) (*.f64 (+.f64 d c) a))))
(/.f64 (-.f64 (pow.f64 (+.f64 c a) 2) (*.f64 d d)) (-.f64 (+.f64 c a) d))
(/.f64 (-.f64 (*.f64 (+.f64 d c) (+.f64 d c)) (*.f64 a a)) (-.f64 (+.f64 d c) a))
(pow.f64 (+.f64 d (+.f64 c a)) 1)
(pow.f64 (cbrt.f64 (+.f64 d (+.f64 c a))) 3)
(pow.f64 (pow.f64 (+.f64 d (+.f64 c a)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 d (+.f64 c a))) 2)
(sqrt.f64 (pow.f64 (+.f64 d (+.f64 c a)) 2))
(log.f64 (exp.f64 (+.f64 d (+.f64 c a))))
(cbrt.f64 (pow.f64 (+.f64 d (+.f64 c a)) 3))
(expm1.f64 (log1p.f64 (+.f64 d (+.f64 c a))))
(exp.f64 (log.f64 (+.f64 d (+.f64 c a))))
(exp.f64 (*.f64 (log.f64 (+.f64 d (+.f64 c a))) 1))
(log1p.f64 (expm1.f64 (+.f64 d (+.f64 c a))))
(fma.f64 1 d (+.f64 c a))
(fma.f64 1 (+.f64 c a) d)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c a)) 2) (cbrt.f64 (+.f64 c a)) d)
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 c a))
(fma.f64 (sqrt.f64 (+.f64 c a)) (sqrt.f64 (+.f64 c a)) d)
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 c a))

simplify98.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1800×fma-neg
988×associate-*r*
962×associate-*l*
698×distribute-lft-in
692×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01051398
12901368
210221332
367221332
Stop Event
1×node limit
Counts
72 → 54
Calls
Call 1
Inputs
(+.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 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 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 (+.f64 1 (+.f64 d (+.f64 c a))) 1)
(-.f64 (/.f64 (*.f64 d d) (-.f64 d (+.f64 c a))) (/.f64 (pow.f64 (+.f64 c a) 2) (-.f64 d (+.f64 c a))))
(*.f64 (+.f64 d (+.f64 c a)) 1)
(*.f64 1 (+.f64 d (+.f64 c a)))
(*.f64 (cbrt.f64 (+.f64 d (+.f64 c a))) (pow.f64 (cbrt.f64 (+.f64 d (+.f64 c a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 d (+.f64 c a))) 2) (cbrt.f64 (+.f64 d (+.f64 c a))))
(*.f64 (sqrt.f64 (+.f64 d (+.f64 c a))) (sqrt.f64 (+.f64 d (+.f64 c a))))
(*.f64 (+.f64 (pow.f64 (+.f64 c a) 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d d (*.f64 (+.f64 c a) (-.f64 (+.f64 c a) d)))))
(*.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) 2)) (/.f64 1 (-.f64 d (+.f64 c a))))
(/.f64 1 (/.f64 (fma.f64 d d (*.f64 (+.f64 c a) (-.f64 (+.f64 c a) d))) (+.f64 (pow.f64 (+.f64 c a) 3) (pow.f64 d 3))))
(/.f64 1 (/.f64 (-.f64 d (+.f64 c a)) (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 c a) 3) (pow.f64 d 3)) (fma.f64 d d (*.f64 (+.f64 c a) (-.f64 (+.f64 c a) d))))
(/.f64 (+.f64 (pow.f64 (+.f64 c a) 3) (pow.f64 d 3)) (+.f64 (pow.f64 (+.f64 c a) 2) (-.f64 (*.f64 d d) (*.f64 d (+.f64 c a)))))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) 2)) (-.f64 d (+.f64 c a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 c a) 3) (pow.f64 d 3))) (neg.f64 (fma.f64 d d (*.f64 (+.f64 c a) (-.f64 (+.f64 c a) d)))))
(/.f64 (neg.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) 2))) (neg.f64 (-.f64 d (+.f64 c a))))
(/.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (+.f64 (*.f64 (+.f64 d c) (+.f64 d c)) (-.f64 (*.f64 a a) (*.f64 (+.f64 d c) a))))
(/.f64 (-.f64 (pow.f64 (+.f64 c a) 2) (*.f64 d d)) (-.f64 (+.f64 c a) d))
(/.f64 (-.f64 (*.f64 (+.f64 d c) (+.f64 d c)) (*.f64 a a)) (-.f64 (+.f64 d c) a))
(pow.f64 (+.f64 d (+.f64 c a)) 1)
(pow.f64 (cbrt.f64 (+.f64 d (+.f64 c a))) 3)
(pow.f64 (pow.f64 (+.f64 d (+.f64 c a)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 d (+.f64 c a))) 2)
(sqrt.f64 (pow.f64 (+.f64 d (+.f64 c a)) 2))
(log.f64 (exp.f64 (+.f64 d (+.f64 c a))))
(cbrt.f64 (pow.f64 (+.f64 d (+.f64 c a)) 3))
(expm1.f64 (log1p.f64 (+.f64 d (+.f64 c a))))
(exp.f64 (log.f64 (+.f64 d (+.f64 c a))))
(exp.f64 (*.f64 (log.f64 (+.f64 d (+.f64 c a))) 1))
(log1p.f64 (expm1.f64 (+.f64 d (+.f64 c a))))
(fma.f64 1 d (+.f64 c a))
(fma.f64 1 (+.f64 c a) d)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c a)) 2) (cbrt.f64 (+.f64 c a)) d)
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 c a))
(fma.f64 (sqrt.f64 (+.f64 c a)) (sqrt.f64 (+.f64 c a)) d)
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 c a))
Outputs
(+.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 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 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 (+.f64 1 (+.f64 d (+.f64 c a))) 1)
(+.f64 a (+.f64 c d))
(-.f64 (/.f64 (*.f64 d d) (-.f64 d (+.f64 c a))) (/.f64 (pow.f64 (+.f64 c a) 2) (-.f64 d (+.f64 c a))))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a c) 2)) (-.f64 d (+.f64 a c)))
(/.f64 (-.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d d)) (+.f64 a (-.f64 c d)))
(*.f64 (+.f64 d (+.f64 c a)) 1)
(+.f64 a (+.f64 c d))
(*.f64 1 (+.f64 d (+.f64 c a)))
(+.f64 a (+.f64 c d))
(*.f64 (cbrt.f64 (+.f64 d (+.f64 c a))) (pow.f64 (cbrt.f64 (+.f64 d (+.f64 c a))) 2))
(+.f64 a (+.f64 c d))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 d (+.f64 c a))) 2) (cbrt.f64 (+.f64 d (+.f64 c a))))
(+.f64 a (+.f64 c d))
(*.f64 (sqrt.f64 (+.f64 d (+.f64 c a))) (sqrt.f64 (+.f64 d (+.f64 c a))))
(+.f64 a (+.f64 c d))
(*.f64 (+.f64 (pow.f64 (+.f64 c a) 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d d (*.f64 (+.f64 c a) (-.f64 (+.f64 c a) d)))))
(*.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d d (*.f64 (+.f64 a c) (-.f64 (+.f64 a c) d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 d 3)) (fma.f64 d d (*.f64 (+.f64 a c) (+.f64 c (-.f64 a d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 d 3)) (fma.f64 d (-.f64 d (+.f64 a c)) (pow.f64 (+.f64 a c) 2)))
(*.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) 2)) (/.f64 1 (-.f64 d (+.f64 c a))))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a c) 2)) (-.f64 d (+.f64 a c)))
(/.f64 (-.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d d)) (+.f64 a (-.f64 c d)))
(/.f64 1 (/.f64 (fma.f64 d d (*.f64 (+.f64 c a) (-.f64 (+.f64 c a) d))) (+.f64 (pow.f64 (+.f64 c a) 3) (pow.f64 d 3))))
(*.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d d (*.f64 (+.f64 a c) (-.f64 (+.f64 a c) d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 d 3)) (fma.f64 d d (*.f64 (+.f64 a c) (+.f64 c (-.f64 a d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 d 3)) (fma.f64 d (-.f64 d (+.f64 a c)) (pow.f64 (+.f64 a c) 2)))
(/.f64 1 (/.f64 (-.f64 d (+.f64 c a)) (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) 2))))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a c) 2)) (-.f64 d (+.f64 a c)))
(/.f64 (-.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d d)) (+.f64 a (-.f64 c d)))
(/.f64 (+.f64 (pow.f64 (+.f64 c a) 3) (pow.f64 d 3)) (fma.f64 d d (*.f64 (+.f64 c a) (-.f64 (+.f64 c a) d))))
(*.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d d (*.f64 (+.f64 a c) (-.f64 (+.f64 a c) d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 d 3)) (fma.f64 d d (*.f64 (+.f64 a c) (+.f64 c (-.f64 a d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 d 3)) (fma.f64 d (-.f64 d (+.f64 a c)) (pow.f64 (+.f64 a c) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 c a) 3) (pow.f64 d 3)) (+.f64 (pow.f64 (+.f64 c a) 2) (-.f64 (*.f64 d d) (*.f64 d (+.f64 c a)))))
(*.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d d (*.f64 (+.f64 a c) (-.f64 (+.f64 a c) d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 d 3)) (fma.f64 d d (*.f64 (+.f64 a c) (+.f64 c (-.f64 a d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 d 3)) (fma.f64 d (-.f64 d (+.f64 a c)) (pow.f64 (+.f64 a c) 2)))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) 2)) (-.f64 d (+.f64 c a)))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a c) 2)) (-.f64 d (+.f64 a c)))
(/.f64 (-.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d d)) (+.f64 a (-.f64 c d)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 c a) 3) (pow.f64 d 3))) (neg.f64 (fma.f64 d d (*.f64 (+.f64 c a) (-.f64 (+.f64 c a) d)))))
(*.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d d (*.f64 (+.f64 a c) (-.f64 (+.f64 a c) d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 d 3)) (fma.f64 d d (*.f64 (+.f64 a c) (+.f64 c (-.f64 a d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 d 3)) (fma.f64 d (-.f64 d (+.f64 a c)) (pow.f64 (+.f64 a c) 2)))
(/.f64 (neg.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) 2))) (neg.f64 (-.f64 d (+.f64 c a))))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a c) 2)) (-.f64 d (+.f64 a c)))
(/.f64 (-.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d d)) (+.f64 a (-.f64 c d)))
(/.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (+.f64 (*.f64 (+.f64 d c) (+.f64 d c)) (-.f64 (*.f64 a a) (*.f64 (+.f64 d c) a))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (fma.f64 (+.f64 c d) (+.f64 c d) (*.f64 a (-.f64 a (+.f64 c d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (+.f64 c d)) (*.f64 (+.f64 c d) (+.f64 c d))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (fma.f64 a a (*.f64 (+.f64 c d) (+.f64 c (-.f64 d a)))))
(/.f64 (-.f64 (pow.f64 (+.f64 c a) 2) (*.f64 d d)) (-.f64 (+.f64 c a) d))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a c) 2)) (-.f64 d (+.f64 a c)))
(/.f64 (-.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d d)) (+.f64 a (-.f64 c d)))
(/.f64 (-.f64 (*.f64 (+.f64 d c) (+.f64 d c)) (*.f64 a a)) (-.f64 (+.f64 d c) a))
(/.f64 (-.f64 (*.f64 (+.f64 c d) (+.f64 c d)) (*.f64 a a)) (+.f64 d (-.f64 c a)))
(/.f64 (+.f64 a (+.f64 c d)) (/.f64 (+.f64 c (-.f64 d a)) (+.f64 c (-.f64 d a))))
(/.f64 (+.f64 a (+.f64 c d)) 1)
(pow.f64 (+.f64 d (+.f64 c a)) 1)
(+.f64 a (+.f64 c d))
(pow.f64 (cbrt.f64 (+.f64 d (+.f64 c a))) 3)
(+.f64 a (+.f64 c d))
(pow.f64 (pow.f64 (+.f64 d (+.f64 c a)) 3) 1/3)
(+.f64 a (+.f64 c d))
(pow.f64 (sqrt.f64 (+.f64 d (+.f64 c a))) 2)
(+.f64 a (+.f64 c d))
(sqrt.f64 (pow.f64 (+.f64 d (+.f64 c a)) 2))
(+.f64 a (+.f64 c d))
(log.f64 (exp.f64 (+.f64 d (+.f64 c a))))
(+.f64 a (+.f64 c d))
(cbrt.f64 (pow.f64 (+.f64 d (+.f64 c a)) 3))
(+.f64 a (+.f64 c d))
(expm1.f64 (log1p.f64 (+.f64 d (+.f64 c a))))
(+.f64 a (+.f64 c d))
(exp.f64 (log.f64 (+.f64 d (+.f64 c a))))
(+.f64 a (+.f64 c d))
(exp.f64 (*.f64 (log.f64 (+.f64 d (+.f64 c a))) 1))
(+.f64 a (+.f64 c d))
(log1p.f64 (expm1.f64 (+.f64 d (+.f64 c a))))
(+.f64 a (+.f64 c d))
(fma.f64 1 d (+.f64 c a))
(+.f64 a (+.f64 c d))
(fma.f64 1 (+.f64 c a) d)
(+.f64 a (+.f64 c d))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c a)) 2) (cbrt.f64 (+.f64 c a)) d)
(+.f64 a (+.f64 c d))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 c a))
(+.f64 a (+.f64 c d))
(fma.f64 (sqrt.f64 (+.f64 c a)) (sqrt.f64 (+.f64 c a)) d)
(+.f64 a (+.f64 c d))
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 c a))
(+.f64 a (+.f64 c d))

eval41.0ms (0.6%)

Compiler

Compiled 806 to 346 computations (57.1% saved)

prune48.0ms (0.7%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New53154
Fresh011
Picked055
Done000
Total53760
Accuracy
100.0%
Counts
60 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶12.4%
(*.f64 (+.f64 (+.f64 c d) a) 2)
✓12.4%
(*.f64 (+.f64 d (+.f64 c a)) 2)
✓100.0%
(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)
✓12.4%
(*.f64 (+.f64 c (+.f64 a d)) 2)
▶8.0%
(*.f64 (+.f64 a d) 2)
✓12.3%
(*.f64 c 2)
✓5.6%
(*.f64 b 2)
▶12.4%
(*.f64 (+.f64 (+.f64 c d) a) 2)
✓12.4%
(*.f64 (+.f64 d (+.f64 c a)) 2)
✓100.0%
(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)
✓12.4%
(*.f64 (+.f64 c (+.f64 a d)) 2)
▶8.0%
(*.f64 (+.f64 a d) 2)
✓12.3%
(*.f64 c 2)
✓5.6%
(*.f64 b 2)
Compiler

Compiled 138 to 104 computations (24.6% saved)

localize81.0ms (1.2%)

Localize:

Found 1 expressions with local error:

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

Compiled 35 to 14 computations (60% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite145.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
1980×pow1
1842×add-exp-log
1842×log1p-expm1-u
1842×expm1-log1p-u
178×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
116013
2242413
Stop Event
1×node limit
Counts
1 → 39
Calls
Call 1
Inputs
(+.f64 (+.f64 c d) a)
Outputs
(-.f64 (+.f64 1 (+.f64 c (+.f64 d a))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 c d) 2) (+.f64 c (-.f64 d a))) (/.f64 (*.f64 a a) (+.f64 c (-.f64 d a))))
(*.f64 (+.f64 c (+.f64 d a)) 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 (sqrt.f64 (+.f64 c (+.f64 d a))) (sqrt.f64 (+.f64 c (+.f64 d a))))
(*.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a (-.f64 a (+.f64 c d))))))
(*.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a a)) (/.f64 1 (+.f64 c (-.f64 d a))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a (-.f64 a (+.f64 c d)))) (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3))))
(/.f64 1 (/.f64 (+.f64 c (-.f64 d a)) (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a a))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3)) (+.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a (-.f64 a (+.f64 c d)))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3)) (+.f64 (*.f64 a a) (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 (+.f64 c d) a))))
(/.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a a)) (+.f64 c (-.f64 d a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a (-.f64 a (+.f64 c d))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a a))) (neg.f64 (+.f64 c (-.f64 d a))))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 d a) 3)) (+.f64 (*.f64 c c) (-.f64 (*.f64 (+.f64 d a) (+.f64 d a)) (*.f64 c (+.f64 d a)))))
(/.f64 (-.f64 (*.f64 c c) (*.f64 (+.f64 d a) (+.f64 d a))) (-.f64 c (+.f64 d a)))
(/.f64 (-.f64 (*.f64 a a) (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)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 c (+.f64 d a))) 2)
(sqrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2))
(log.f64 (exp.f64 (+.f64 c (+.f64 d a))))
(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))
(log1p.f64 (expm1.f64 (+.f64 c (+.f64 d a))))
(fma.f64 1 c (+.f64 d a))
(fma.f64 1 (+.f64 c d) a)
(fma.f64 1 a (+.f64 c d))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 c d))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 d a))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 c d))
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 d a))
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) a)

simplify73.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1564×div-sub
1138×fma-neg
808×fma-def
780×distribute-rgt-in
778×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01111451
13041401
210601371
355661371
Stop Event
1×node limit
Counts
75 → 61
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 (+.f64 1 (+.f64 c (+.f64 d a))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 c d) 2) (+.f64 c (-.f64 d a))) (/.f64 (*.f64 a a) (+.f64 c (-.f64 d a))))
(*.f64 (+.f64 c (+.f64 d a)) 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 (sqrt.f64 (+.f64 c (+.f64 d a))) (sqrt.f64 (+.f64 c (+.f64 d a))))
(*.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a (-.f64 a (+.f64 c d))))))
(*.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a a)) (/.f64 1 (+.f64 c (-.f64 d a))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a (-.f64 a (+.f64 c d)))) (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3))))
(/.f64 1 (/.f64 (+.f64 c (-.f64 d a)) (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a a))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3)) (+.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a (-.f64 a (+.f64 c d)))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3)) (+.f64 (*.f64 a a) (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 (+.f64 c d) a))))
(/.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a a)) (+.f64 c (-.f64 d a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a (-.f64 a (+.f64 c d))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a a))) (neg.f64 (+.f64 c (-.f64 d a))))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 d a) 3)) (+.f64 (*.f64 c c) (-.f64 (*.f64 (+.f64 d a) (+.f64 d a)) (*.f64 c (+.f64 d a)))))
(/.f64 (-.f64 (*.f64 c c) (*.f64 (+.f64 d a) (+.f64 d a))) (-.f64 c (+.f64 d a)))
(/.f64 (-.f64 (*.f64 a a) (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)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 c (+.f64 d a))) 2)
(sqrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2))
(log.f64 (exp.f64 (+.f64 c (+.f64 d a))))
(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))
(log1p.f64 (expm1.f64 (+.f64 c (+.f64 d a))))
(fma.f64 1 c (+.f64 d a))
(fma.f64 1 (+.f64 c d) a)
(fma.f64 1 a (+.f64 c d))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 c d))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 d a))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 c d))
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 d a))
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) a)
Outputs
(+.f64 a d)
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
c
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
c
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(+.f64 a c)
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
d
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
d
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(+.f64 c d)
(+.f64 d c)
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
a
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
a
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(-.f64 (+.f64 1 (+.f64 c (+.f64 d a))) 1)
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(-.f64 (/.f64 (pow.f64 (+.f64 c d) 2) (+.f64 c (-.f64 d a))) (/.f64 (*.f64 a a) (+.f64 c (-.f64 d a))))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (*.f64 a a)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (*.f64 a a)) (+.f64 d (-.f64 c a)))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 d c) 2)) (-.f64 (-.f64 a d) c))
(*.f64 (+.f64 c (+.f64 d a)) 1)
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(*.f64 1 (+.f64 c (+.f64 d a)))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(*.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2) (cbrt.f64 (+.f64 c (+.f64 d a))))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(*.f64 (sqrt.f64 (+.f64 c (+.f64 d a))) (sqrt.f64 (+.f64 c (+.f64 d a))))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(*.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a (-.f64 a (+.f64 c d))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d c) 3)) 1) (+.f64 (pow.f64 (+.f64 d c) 2) (*.f64 a (-.f64 a (+.f64 d c)))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d c) 3)) (fma.f64 a (-.f64 (-.f64 a d) c) (pow.f64 (+.f64 d c) 2)))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d c) 3)) (fma.f64 a a (*.f64 (+.f64 d c) (+.f64 d (-.f64 c a)))))
(*.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a a)) (/.f64 1 (+.f64 c (-.f64 d a))))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (*.f64 a a)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (*.f64 a a)) (+.f64 d (-.f64 c a)))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 d c) 2)) (-.f64 (-.f64 a d) c))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a (-.f64 a (+.f64 c d)))) (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d c) 3)) 1) (+.f64 (pow.f64 (+.f64 d c) 2) (*.f64 a (-.f64 a (+.f64 d c)))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d c) 3)) (fma.f64 a (-.f64 (-.f64 a d) c) (pow.f64 (+.f64 d c) 2)))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d c) 3)) (fma.f64 a a (*.f64 (+.f64 d c) (+.f64 d (-.f64 c a)))))
(/.f64 1 (/.f64 (+.f64 c (-.f64 d a)) (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a a))))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (*.f64 a a)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (*.f64 a a)) (+.f64 d (-.f64 c a)))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 d c) 2)) (-.f64 (-.f64 a d) c))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3)) (+.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a (-.f64 a (+.f64 c d)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d c) 3)) 1) (+.f64 (pow.f64 (+.f64 d c) 2) (*.f64 a (-.f64 a (+.f64 d c)))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d c) 3)) (fma.f64 a (-.f64 (-.f64 a d) c) (pow.f64 (+.f64 d c) 2)))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d c) 3)) (fma.f64 a a (*.f64 (+.f64 d c) (+.f64 d (-.f64 c a)))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3)) (+.f64 (*.f64 a a) (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 (+.f64 c d) a))))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d c) 3)) 1) (+.f64 (pow.f64 (+.f64 d c) 2) (*.f64 a (-.f64 a (+.f64 d c)))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d c) 3)) (fma.f64 a (-.f64 (-.f64 a d) c) (pow.f64 (+.f64 d c) 2)))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d c) 3)) (fma.f64 a a (*.f64 (+.f64 d c) (+.f64 d (-.f64 c a)))))
(/.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a a)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (*.f64 a a)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (*.f64 a a)) (+.f64 d (-.f64 c a)))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 d c) 2)) (-.f64 (-.f64 a d) c))
(/.f64 (neg.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a (-.f64 a (+.f64 c d))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d c) 3)) 1) (+.f64 (pow.f64 (+.f64 d c) 2) (*.f64 a (-.f64 a (+.f64 d c)))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d c) 3)) (fma.f64 a (-.f64 (-.f64 a d) c) (pow.f64 (+.f64 d c) 2)))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d c) 3)) (fma.f64 a a (*.f64 (+.f64 d c) (+.f64 d (-.f64 c a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a a))) (neg.f64 (+.f64 c (-.f64 d a))))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (*.f64 a a)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (*.f64 a a)) (+.f64 d (-.f64 c a)))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 d c) 2)) (-.f64 (-.f64 a d) c))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 d a) 3)) (+.f64 (*.f64 c c) (-.f64 (*.f64 (+.f64 d a) (+.f64 d a)) (*.f64 c (+.f64 d a)))))
(/.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 c c (*.f64 (+.f64 a d) (+.f64 a (-.f64 d c)))))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a d) 3)) (fma.f64 (+.f64 a d) (+.f64 a (-.f64 d c)) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 c c) (*.f64 (+.f64 d a) (+.f64 d a))) (-.f64 c (+.f64 d a)))
(/.f64 (*.f64 (+.f64 c (+.f64 a d)) (-.f64 c (+.f64 a d))) (-.f64 c (+.f64 a d)))
(/.f64 (+.f64 c (+.f64 a d)) (/.f64 (-.f64 c (+.f64 a d)) (-.f64 c (+.f64 a d))))
(/.f64 (+.f64 a (+.f64 d c)) 1)
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 c d) 2)) (-.f64 a (+.f64 c d)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (*.f64 a a)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (*.f64 a a)) (+.f64 d (-.f64 c a)))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 d c) 2)) (-.f64 (-.f64 a d) c))
(pow.f64 (+.f64 c (+.f64 d a)) 1)
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 3)
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3) 1/3)
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(pow.f64 (sqrt.f64 (+.f64 c (+.f64 d a))) 2)
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(sqrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(log.f64 (exp.f64 (+.f64 c (+.f64 d a))))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(cbrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(expm1.f64 (log1p.f64 (+.f64 c (+.f64 d a))))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(exp.f64 (log.f64 (+.f64 c (+.f64 d a))))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(exp.f64 (*.f64 (log.f64 (+.f64 c (+.f64 d a))) 1))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(log1p.f64 (expm1.f64 (+.f64 c (+.f64 d a))))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(fma.f64 1 c (+.f64 d a))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(fma.f64 1 (+.f64 c d) a)
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(fma.f64 1 a (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 d a))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) a)
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 c d))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 d a))
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) a)
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 d c))

eval13.0ms (0.2%)

Compiler

Compiled 873 to 385 computations (55.9% saved)

prune16.0ms (0.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New61061
Fresh000
Picked022
Done055
Total61768
Accuracy
100.0%
Counts
68 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓12.4%
(*.f64 (+.f64 (+.f64 c d) a) 2)
✓12.4%
(*.f64 (+.f64 d (+.f64 c a)) 2)
✓100.0%
(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)
✓12.4%
(*.f64 (+.f64 c (+.f64 a d)) 2)
✓8.0%
(*.f64 (+.f64 a d) 2)
✓12.3%
(*.f64 c 2)
✓5.6%
(*.f64 b 2)
Compiler

Compiled 132 to 87 computations (34.1% saved)

regimes321.0ms (4.7%)

Counts
9 → 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 d (+.f64 c a)) 2)
(*.f64 (+.f64 (+.f64 c d) a) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 a c))) 2)
Outputs
(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)
Calls

8 calls:

268.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
13.0ms
b
6.0ms
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
6.0ms
(+.f64 c d)
6.0ms
(+.f64 b (+.f64 c d))
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 123 to 78 computations (36.6% saved)

regimes60.0ms (0.9%)

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 d (+.f64 c a)) 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:

12.0ms
(+.f64 b (+.f64 c d))
10.0ms
b
8.0ms
c
6.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
5.0ms
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
Results
AccuracySegmentsBranch
94.2%1a
94.2%1b
94.2%1c
94.2%1d
94.2%1(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
94.2%1(+.f64 a (+.f64 b (+.f64 c d)))
94.2%1(+.f64 b (+.f64 c d))
94.2%1(+.f64 c d)
Compiler

Compiled 105 to 69 computations (34.3% saved)

regimes45.0ms (0.7%)

Counts
6 → 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 d (+.f64 c a)) 2)
(*.f64 (+.f64 (+.f64 c d) a) 2)
Outputs
(*.f64 (+.f64 a d) 2)
(*.f64 (+.f64 c (+.f64 a d)) 2)
Calls

5 calls:

13.0ms
c
10.0ms
a
9.0ms
b
5.0ms
(+.f64 c d)
5.0ms
d
Results
AccuracySegmentsBranch
12.4%1a
12.4%1d
14.0%2b
12.4%1c
12.4%1(+.f64 c d)
Compiler

Compiled 63 to 43 computations (31.7% saved)

regimes26.0ms (0.4%)

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

4 calls:

10.0ms
b
7.0ms
a
4.0ms
d
4.0ms
c
Results
AccuracySegmentsBranch
12.3%1a
12.3%1c
12.3%1d
13.9%2b
Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes12.0ms (0.2%)

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

2 calls:

8.0ms
b
3.0ms
a
Results
AccuracySegmentsBranch
12.3%1a
12.3%1b
Compiler

Compiled 20 to 16 computations (20% saved)

regimes96.0ms (1.4%)

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:

76.0ms
d
13.0ms
b
3.0ms
a
3.0ms
c
Results
AccuracySegmentsBranch
5.6%1b
5.6%1d
5.6%1c
5.6%1a
Compiler

Compiled 27 to 22 computations (18.5% saved)

bsearch1.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-2.6592569016418572
-2.657310749604727
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-2.6592569016418572
-2.657310749604727
Compiler

Compiled 20 to 15 computations (25% saved)

simplify22.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
027134
140134
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(if (<=.f64 b -5985283904775389/2251799813685248) (*.f64 (+.f64 a d) 2) (*.f64 (+.f64 c (+.f64 a d)) 2))
(if (<=.f64 b -5985283904775389/2251799813685248) (*.f64 (+.f64 a d) 2) (*.f64 c 2))
(*.f64 c 2)
(*.f64 b 2)
Outputs
(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 2 (+.f64 a (+.f64 b (+.f64 c d))))
(if (<=.f64 b -5985283904775389/2251799813685248) (*.f64 (+.f64 a d) 2) (*.f64 (+.f64 c (+.f64 a d)) 2))
(if (<=.f64 b -5985283904775389/2251799813685248) (*.f64 (+.f64 a d) 2) (*.f64 2 (+.f64 c (+.f64 a d))))
(if (<=.f64 b -5985283904775389/2251799813685248) (*.f64 (+.f64 a d) 2) (*.f64 c 2))
(*.f64 c 2)
(*.f64 b 2)
Compiler

Compiled 76 to 55 computations (27.6% saved)

soundness1.5s (21.4%)

Rules
2014×unsub-neg
1530×fma-def
1452×fma-neg
1308×associate-+l-
1220×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052312
1128300
2381300
31165300
42501300
54122300
65962300
76824300
87356300
97439300
107444300
117444300
127444300
137445300
147445300
05059817
113919625
248139565
05059817
113919625
248139565
05059817
113919625
248139565
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 301 to 158 computations (47.5% saved)

end0.0ms (0%)

preprocess114.0ms (1.7%)

Remove

(sort a b c d)

Compiler

Compiled 194 to 124 computations (36.1% saved)

Profiling

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