2atan (example 3.5)

Details

Time bar (total: 4.6s)

analyze0.0ms (0%)

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

Compiled 9 to 7 computations (22.2% saved)

sample1.4s (30.2%)

Results
562.0ms2161×body2048valid
513.0ms4592×body256valid
188.0ms1000×body1024valid
104.0ms503×body512valid
Bogosity

preprocess23.0ms (0.5%)

Algorithm
egg-herbie
Rules
132×fma-def
24×sub-neg
20×distribute-rgt-in
20×associate--r+
20×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11421
21821
32621
43521
55221
68921
712421
817321
920821
1023421
1123621
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify25.0ms (0.6%)

Algorithm
egg-herbie
Rules
132×fma-def
24×sub-neg
20×distribute-rgt-in
20×associate--r+
20×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11421
21821
32621
43521
55221
68921
712421
817321
920821
1023421
1123621
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
75.2%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.2%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
75.2%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 16 to 12 computations (25% saved)

localize62.0ms (1.4%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
75.2%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 20 to 13 computations (35% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
0.0ms
N
@-inf
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
0.0ms
N
@inf
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
0.0ms
N
@0
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))

rewrite92.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1376×prod-diff
1214×unpow-prod-down
878×log-prod
734×fma-def
572×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
119421
2265621
Stop Event
node limit
Counts
1 → 112
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Outputs
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 -1 (atan.f64 N) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (pow.f64 (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 1))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (pow.f64 (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))
(*.f64 (pow.f64 1 1/3) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1) (pow.f64 (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2) 1/3) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 5/2) 1/3) (pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(/.f64 1 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (neg.f64 (atan.f64 N)) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (pow.f64 (neg.f64 (atan.f64 N)) 2) (*.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (neg.f64 (atan.f64 N)) 2)) (-.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(pow.f64 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) -1)
(pow.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (neg.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (/.f64 1 (exp.f64 (atan.f64 N)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N 1)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (atan.f64 N))) (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))))
(log.f64 (/.f64 (exp.f64 (atan.f64 (+.f64 N 1))) (+.f64 1 (expm1.f64 (atan.f64 N)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (atan.f64 N))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (+.f64 1 (expm1.f64 (atan.f64 N)))))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N (+.f64 N 1) 1))
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 1 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (neg.f64 (cbrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (neg.f64 (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (sqrt.f64 (atan.f64 N)) (neg.f64 (sqrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (atan.f64 N))) (cbrt.f64 (neg.f64 (atan.f64 N)))) (cbrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (neg.f64 (atan.f64 N))) (sqrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 -1 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))

simplify97.0ms (2.1%)

Algorithm
egg-herbie
Rules
1356×div-sub
746×log-prod
616×exp-prod
478×distribute-lft-in
454×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02544658
16114170
218013914
358453914
Stop Event
node limit
Counts
116 → 135
Calls
Call 1
Inputs
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 -1 (atan.f64 N) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (pow.f64 (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 1))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (pow.f64 (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))
(*.f64 (pow.f64 1 1/3) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1) (pow.f64 (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2) 1/3) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 5/2) 1/3) (pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(/.f64 1 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) (neg.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (neg.f64 (atan.f64 N)) 3)) (+.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (-.f64 (pow.f64 (neg.f64 (atan.f64 N)) 2) (*.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (neg.f64 (atan.f64 N)) 2)) (-.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(pow.f64 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))) -1)
(pow.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (neg.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (/.f64 1 (exp.f64 (atan.f64 N)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N 1)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (atan.f64 N))) (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1))))))
(log.f64 (/.f64 (exp.f64 (atan.f64 (+.f64 N 1))) (+.f64 1 (expm1.f64 (atan.f64 N)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (atan.f64 N))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (+.f64 1 (expm1.f64 (atan.f64 N)))))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(atan2.f64 (+.f64 N (-.f64 1 N)) (fma.f64 N (+.f64 N 1) 1))
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 1 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (neg.f64 (atan.f64 N)))
(fma.f64 (atan.f64 (+.f64 N 1)) 1 (*.f64 (neg.f64 (atan.f64 N)) 1))
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(fma.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1 (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
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(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
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(fma.f64 (sqrt.f64 (atan.f64 N)) (neg.f64 (sqrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (atan.f64 N))) (cbrt.f64 (neg.f64 (atan.f64 N)))) (cbrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (sqrt.f64 (neg.f64 (atan.f64 N))) (sqrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(fma.f64 -1 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
Outputs
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (*.f64 (cbrt.f64 (atan.f64 N)) (cbrt.f64 (pow.f64 (atan.f64 N) 2))))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 -1 (atan.f64 N) (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (*.f64 (cbrt.f64 (atan.f64 N)) (cbrt.f64 (pow.f64 (atan.f64 N) 2))))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (pow.f64 (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 1))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (pow.f64 (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 1 1/3) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1) (pow.f64 (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3/2) 1/3))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2) 1/3) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) 8)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 5/2) 1/3) (pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) (cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(/.f64 1 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
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(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (*.f64 (cbrt.f64 (atan.f64 N)) (cbrt.f64 (pow.f64 (atan.f64 N) 2))))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (neg.f64 (atan.f64 N)) 1))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (atan.f64 N))) (cbrt.f64 (neg.f64 (atan.f64 N)))) (cbrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (sqrt.f64 (neg.f64 (atan.f64 N))) (sqrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 -1 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (*.f64 (cbrt.f64 (atan.f64 N)) (cbrt.f64 (pow.f64 (atan.f64 N) 2))))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2))) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (*.f64 (cbrt.f64 (atan.f64 N)) (cbrt.f64 (pow.f64 (atan.f64 N) 2))))

eval50.0ms (1.1%)

Compiler

Compiled 2589 to 1641 computations (36.6% saved)

prune16.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1341135
Fresh000
Picked011
Done000
Total1342136
Accurracy
98.5%
Counts
136 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
75.2%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
98.5%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
75.2%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 34 to 26 computations (23.5% saved)

localize33.0ms (0.7%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
98.5%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
Compiler

Compiled 21 to 15 computations (28.6% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
N
@0
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
0.0ms
N
@-inf
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
0.0ms
N
@inf
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))

rewrite76.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1586×pow1
1458×add-exp-log
1458×log1p-expm1-u
1458×expm1-log1p-u
1430×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
116121
2198121
Stop Event
node limit
Counts
1 → 16
Calls
Call 1
Inputs
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
Outputs
(-.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))

simplify63.0ms (1.4%)

Algorithm
egg-herbie
Rules
974×fma-neg
958×log-prod
666×exp-prod
646×fma-def
456×sqr-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046588
189588
2305588
31676588
43889588
55687588
Stop Event
node limit
Counts
28 → 21
Calls
Call 1
Inputs
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(-.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
Outputs
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(-.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (fma.f64 N N 1)))

eval6.0ms (0.1%)

Compiler

Compiled 242 to 192 computations (20.7% saved)

prune13.0ms (0.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New18321
Fresh000
Picked011
Done011
Total18523
Accurracy
98.6%
Counts
23 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
96.6%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
98.5%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
75.2%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
85.8%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
97.6%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
96.6%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
98.5%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
75.2%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
85.8%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
Compiler

Compiled 126 to 102 computations (19% saved)

localize220.0ms (4.8%)

Local Accuracy

Found 10 expressions with local accuracy:

NewAccuracyProgram
99.1%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
98.5%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
77.0%
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
99.7%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
98.5%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
76.3%
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
99.9%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
98.5%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
76.3%
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
72.1%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
Compiler

Compiled 153 to 117 computations (23.5% saved)

series24.0ms (0.5%)

Counts
7 → 84
Calls

21 calls:

TimeVariablePointExpression
5.0ms
N
@inf
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
3.0ms
N
@0
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
3.0ms
N
@inf
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
2.0ms
N
@-inf
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
2.0ms
N
@0
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))

rewrite115.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1120×log-prod
696×pow-prod-down
666×pow-prod-up
652×pow-exp
462×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018169
1370169
23527169
Stop Event
node limit
Counts
7 → 287
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
Outputs
(+.f64 0 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))) (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))) 1)
(*.f64 1 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 4) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 4))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 5) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 4/3)
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 4) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 6)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4) 1/6)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 6) 1/9)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) 4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 2/9)
(sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 4))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(exp.f64 (*.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 2/3))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/3) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 3))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(+.f64 0 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 1)
(*.f64 1 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 4)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/6)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2/3)
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) 3/2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2) 2/9)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 6) 1/18)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 4/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/9)
(sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(fabs.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 3/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/6))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 1/6))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2) 2/3))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(+.f64 0 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/2)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
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(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 9)
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(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
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(+.f64 0 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
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(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 2/3))
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(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3) 1/2))
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(+.f64 0 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
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(fabs.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
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(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
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(+.f64 0 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
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(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2))
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(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 3/2))
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(+.f64 0 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 5))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 4) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/6) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(fabs.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2) 2))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3) 3/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 3/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))

simplify183.0ms (4%)

Algorithm
egg-herbie
Rules
1598×exp-prod
1352×log-prod
954×cube-prod
648×log-pow
498×prod-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035410703
168110485
2229710069
3589410069
Stop Event
node limit
Counts
371 → 208
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 2) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(sqrt.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(+.f64 0 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))) (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))) 1)
(*.f64 1 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 4) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 4))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 5) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 4/3)
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 4) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 6)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4) 1/6)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 6) 1/9)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) 4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 2/9)
(sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 4))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(exp.f64 (*.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 2/3))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/3) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 3))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(+.f64 0 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 1)
(*.f64 1 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
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(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2) 2))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3) 3/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 3/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 0 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 1)
(*.f64 1 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/4)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 3/4)
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 9/2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/6)
(fabs.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/3) 3/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 3/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2) 1))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 3))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(+.f64 0 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 5))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 4) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/6) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(fabs.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/2) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2) 2))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3) 3/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 3/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
Outputs
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
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(*.f64 (pow.f64 (exp.f64 2/9) (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 7))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/6))
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(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/4))
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 4) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))))
(*.f64 (pow.f64 (exp.f64 2/9) (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 7))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/6) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/6))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(fabs.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
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(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
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(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
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(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
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(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
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(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
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(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
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(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3) 3/2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
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(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
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(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))

eval231.0ms (5.1%)

Compiler

Compiled 10208 to 7881 computations (22.8% saved)

prune60.0ms (1.3%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New5086514
Fresh000
Picked123
Done022
Total50910519
Accurracy
98.6%
Counts
519 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.3%
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 4)
97.6%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
86.5%
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 3/2)
98.1%
(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)) 3)
96.6%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
96.1%
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 9)
98.5%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
75.2%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
96.3%
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 6) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
86.5%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
98.3%
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 4)
97.6%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
86.5%
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 3/2)
98.1%
(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)) 3)
96.6%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
96.1%
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 9)
98.5%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
75.2%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
96.3%
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 6) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
86.5%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
Compiler

Compiled 494 to 394 computations (20.2% saved)

localize380.0ms (8.3%)

Local Accuracy

Found 19 expressions with local accuracy:

NewAccuracyProgram
98.5%
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
98.0%
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 6)
76.3%
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
76.3%
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
99.1%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
98.5%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
77.0%
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
76.3%
(cbrt.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
99.9%
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)
99.9%
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 3/2)
98.5%
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
72.1%
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
98.7%
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
98.5%
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
97.9%
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 9)
76.3%
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
99.6%
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 4)
98.5%
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
77.2%
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
Compiler

Compiled 321 to 199 computations (38% saved)

series209.0ms (4.6%)

Counts
16 → 192
Calls

48 calls:

TimeVariablePointExpression
37.0ms
N
@inf
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 9)
34.0ms
N
@0
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
26.0ms
N
@inf
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
20.0ms
N
@inf
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 3/2)
19.0ms
N
@0
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 3/2)

rewrite174.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
748×prod-diff
694×expm1-udef
686×log1p-udef
540×add-sqr-sqrt
528×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030388
1628388
26755388
Stop Event
node limit
Counts
16 → 460
Calls
Call 1
Inputs
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 4)
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 9)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 3/2)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)
(cbrt.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 6)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))) 1)
(*.f64 1 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 1)
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/8) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/8))
(*.f64 (pow.f64 1 1/4) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 1/4) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/4))
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/4) (pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/4))
(sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(fabs.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(log.f64 (exp.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))))
(cbrt.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 3))
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)))
(exp.f64 (*.f64 1/4 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 3))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 3) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) 4) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)) 4))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/8) 4) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/8) 4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 9))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 9) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 9))
(*.f64 (pow.f64 1 3/2) (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) 3/2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 4)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 9)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/2)
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) 9/2)
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4)) 3/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(fabs.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 3))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 3) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) 4) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)) 4))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/8) 4) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/8) 4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 9))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 9) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 9))
(*.f64 (pow.f64 1 3/2) (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) 3/2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(fabs.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 1)
(*.f64 1 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4)))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))) 3) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 3) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2))
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(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) 3/2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(fabs.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 1)
(*.f64 1 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4)))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))) 3) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 3) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) 1) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 4/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/6)
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 1/2)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(fabs.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 3))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))) 1)
(*.f64 1 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))) 6) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 6))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 6) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 3))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 3) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) 4) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)) 4))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/8) 4) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/8) 4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 9))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 9) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 9))
(*.f64 (pow.f64 1 3/2) (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) 3/2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 4)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 9)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/2)
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) 9/2)
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4)) 3/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(fabs.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))

simplify252.0ms (5.5%)

Algorithm
egg-herbie
Rules
1772×log-prod
1608×exp-prod
618×log-pow
610×associate-*l*
586×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030725769824594
158912884922452
2255920578
3603320570
Stop Event
node limit
Counts
652 → 217
Calls
Call 1
Inputs
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(*.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) (pow.f64 1 1/9))
(*.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) (pow.f64 1 1/9))
(*.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) (pow.f64 1 1/9))
(*.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) (pow.f64 1 1/9))
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(fabs.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
Outputs
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/4)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/3)
(cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) (pow.f64 1 1/9))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) (pow.f64 1 1/9))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) (pow.f64 1 1/9))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) (pow.f64 1 1/9))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 1 1/9) (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 1 1/9) (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 1 1/9) (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 1 1/9) (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) (pow.f64 1 1/9))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) (pow.f64 1 1/9))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) (pow.f64 1 1/9))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) (pow.f64 1 1/9))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/9)
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/9)
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/9)
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/9)
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/9)
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/9)
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/9)
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/9)
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/9)
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/9)
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/9)
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1/9)
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/18))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 (fma.f64 N N N) 1))
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(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 3) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6) 4) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)) 4))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)) 4) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4)) 4))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/8) 4) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/8) 4))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 9))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) 9))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 9) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 9))
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) 18)
(*.f64 (pow.f64 1 3/2) (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4))) 3/2) (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/6))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) 4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 7))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6)) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/6))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 4)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 9)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1/2)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))) 9/2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)) 9/2)
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 4)) 3/4)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(fabs.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))

eval361.0ms (7.9%)

Compiler

Compiled 13498 to 9853 computations (27% saved)

prune92.0ms (2%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New5731574
Fresh011
Picked145
Done044
Total57410584
Accurracy
98.6%
Counts
584 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.3%
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 4)
97.6%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
96.0%
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 9/2) 2)) 3)
86.5%
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 3/2)
98.1%
(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)) 3)
96.6%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
96.1%
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 9)
98.5%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
75.2%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
86.5%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
Compiler

Compiled 312 to 244 computations (21.8% saved)

regimes14.0ms (0.3%)

Counts
12 → 1
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) 4)
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 9)
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2)) 3/2)
(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)) 3)
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 9/2) 2)) 3)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 6) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))))
Outputs
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
Calls

2 calls:

7.0ms
N
2.0ms
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Results
AccuracySegmentsBranch
98.5%1N
98.5%1(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 183 to 139 computations (24% saved)

regimes10.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Calls

2 calls:

7.0ms
N
2.0ms
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Results
AccuracySegmentsBranch
75.2%1N
75.2%1(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
sub-neg
1-exp
neg-mul-1
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01342
11842
22242
32442
42542
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Outputs
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
Compiler

Compiled 17 to 13 computations (23.5% saved)

soundness258.0ms (5.7%)

Rules
1376×prod-diff
1356×div-sub
1214×unpow-prod-down
878×log-prod
746×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
119421
2265621
02544658
16114170
218013914
358453914
Stop Event
node limit
node limit
Compiler

Compiled 135 to 95 computations (29.6% saved)

end39.0ms (0.8%)

Compiler

Compiled 70 to 54 computations (22.9% saved)

Profiling

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