2atan (example 3.5)

Details

Time bar (total: 7.4s)

analyze0.0ms (0%)

Algorithm
1×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)

sample1.7s (22.8%)

Results
707.0ms4567×body256valid
665.0ms2190×body2048valid
245.0ms1013×body1024valid
61.0ms486×body512valid
Bogosity

preprocess23.0ms (0.3%)

Algorithm
2×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
1×saturated
1×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)

simplify19.0ms (0.3%)

Algorithm
1×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
1×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
78.1%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶78.1%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 8 to 6 computations (25% saved)

localize95.0ms (1.3%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(atan.f64 (+.f64 N 1))
✓78.1%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 20 to 13 computations (35% saved)

series1.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite130.0ms (1.8%)

Algorithm
1×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
0932
119432
2265632
Stop Event
1×node limit
Counts
2 → 151
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan.f64 (+.f64 N 1))
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)))
(+.f64 0 (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(*.f64 1 (atan.f64 (+.f64 N 1)))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (+.f64 N 1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3) (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) 1/3) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 5/2) 1/3) (pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (+.f64 N 1)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))

simplify89.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1208×fma-neg
872×distribute-lft-in
618×cancel-sign-sub-inv
550×log-prod
450×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03395661
17895017
227274993
Stop Event
1×node limit
Counts
159 → 191
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))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (*.f64 -1 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))
(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)))
(+.f64 0 (atan.f64 (+.f64 N 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(*.f64 1 (atan.f64 (+.f64 N 1)))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (+.f64 N 1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3) (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) 1/3) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 5/2) 1/3) (pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (+.f64 N 1)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(log1p.f64 (expm1.f64 (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))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(atan.f64 (-.f64 1 (*.f64 -1 N)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 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 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (*.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (cbrt.f64 (atan.f64 N)))))
(+.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 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) (-.f64 (atan.f64 N) (*.f64 (cbrt.f64 (pow.f64 (atan.f64 N) 2)) (cbrt.f64 (atan.f64 N)))))
(+.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 (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 2 (log.f64 (sqrt.f64 (exp.f64 (-.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 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (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 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N))
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(atan.f64 (+.f64 1 N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 1 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 1 N))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N 1)))) 1)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 1 (atan.f64 (+.f64 N 1)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (cbrt.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) 2))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 1 1/3) (atan.f64 (+.f64 N 1)))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3) (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan.f64 (+.f64 N 1)) (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2) 1/3) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (pow.f64 (*.f64 (atan.f64 (+.f64 1 N)) (cbrt.f64 (atan.f64 (+.f64 1 N)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 N))) 8)))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 5/2) 1/3) (pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (atan.f64 (+.f64 1 N)))) (cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (atan.f64 (+.f64 N 1)) 1)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) 3)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) 1/2)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) 1/3)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) 2)
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(log.f64 (exp.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (log.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 1) 1))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (+.f64 N 1)))) 3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (+.f64 N 1)))) 1/3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N 1))) 3) 1/3))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (+.f64 N 1)))) 2))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N 1))))
(atan.f64 (-.f64 1 (neg.f64 N)))
(atan.f64 (+.f64 1 N))

eval79.0ms (1.1%)

Compiler

Compiled 3489 to 2304 computations (34% saved)

prune28.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1892191
Fresh000
Picked011
Done000
Total1893192
Accurracy
99.3%
Counts
192 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
✓78.1%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
▶77.3%
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
Compiler

Compiled 27 to 21 computations (22.2% saved)

localize216.0ms (2.9%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(atan.f64 (+.f64 N 1))
✓100.0%
(exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
78.1%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
✓77.3%
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
Compiler

Compiled 37 to 24 computations (35.1% saved)

series2.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
1.0ms
N
@-inf
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
0.0ms
N
@0
(exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
0.0ms
N
@-inf
(exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
0.0ms
N
@inf
(exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
0.0ms
N
@0
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))

rewrite82.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1376×prod-diff
954×log-prod
750×fma-def
622×pow-prod-down
492×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01146
121946
2285546
Stop Event
1×node limit
Counts
2 → 148
Calls
Call 1
Inputs
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(exp.f64 (-.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)) 0)
(+.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))) (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (*.f64 1/3 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 2 (*.f64 1/3 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(+.f64 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(+.f64 (*.f64 2 (*.f64 1/3 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (*.f64 1/3 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 0 (log.f64 (/.f64 (exp.f64 (atan.f64 N)) (exp.f64 (atan.f64 (+.f64 N 1))))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1)
(-.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (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 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) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (/.f64 (pow.f64 (atan.f64 N) 2) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (log.f64 (neg.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (neg.f64 (exp.f64 (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 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 3 (*.f64 1/3 (-.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)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 2 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 1/3 (*.f64 3 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 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 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)
(neg.f64 (log.f64 (/.f64 (exp.f64 (atan.f64 N)) (exp.f64 (atan.f64 (+.f64 N 1))))))
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(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 1 (-.f64 N 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))) (pow.f64 (cbrt.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))) (pow.f64 (cbrt.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 (-.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))) (pow.f64 (cbrt.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))) (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (neg.f64 (cbrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(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 (-.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))) (pow.f64 (cbrt.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 N)) (neg.f64 (sqrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(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))) (pow.f64 (cbrt.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))) (pow.f64 (cbrt.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))) (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(+.f64 0 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (exp.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 1)
(*.f64 1 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1)
(*.f64 (exp.f64 (atan.f64 (+.f64 N 1))) (exp.f64 (neg.f64 (atan.f64 N))))
(*.f64 (exp.f64 (atan.f64 (+.f64 N 1))) (/.f64 1 (exp.f64 (atan.f64 N))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(/.f64 1 (/.f64 (exp.f64 (atan.f64 N)) (exp.f64 (atan.f64 (+.f64 N 1)))))
(/.f64 (exp.f64 (atan.f64 (+.f64 N 1))) (exp.f64 (atan.f64 N)))
(/.f64 (neg.f64 (exp.f64 (atan.f64 (+.f64 N 1)))) (neg.f64 (exp.f64 (atan.f64 N))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (/.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2)))) (pow.f64 (E.f64) (/.f64 (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 (pow.f64 (E.f64) (/.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (pow.f64 (E.f64) (/.f64 (pow.f64 (atan.f64 N) 2) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(pow.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1)
(pow.f64 (E.f64) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) 1/2)
(pow.f64 (pow.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(pow.f64 (exp.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))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) (*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(pow.f64 (/.f64 (exp.f64 (atan.f64 N)) (exp.f64 (atan.f64 (+.f64 N 1)))) -1)
(pow.f64 (pow.f64 (E.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))
(pow.f64 (pow.f64 (E.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))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(pow.f64 (pow.f64 (E.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))))
(pow.f64 (pow.f64 (E.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))))
(pow.f64 (pow.f64 (E.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))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 1) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) (*.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)))))) (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))

simplify92.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1160×unswap-sqr
512×sqr-pow
498×distribute-lft-out
394×exp-prod
354×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03015950
17065756
225765710
Stop Event
1×node limit
Counts
164 → 160
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (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 1 (*.f64 -1 N))) (atan.f64 N))
(exp.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)))
(exp.f64 (-.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)) 0)
(+.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))) (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (*.f64 1/3 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 2 (*.f64 1/3 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(+.f64 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(+.f64 (*.f64 2 (*.f64 1/3 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (*.f64 1/3 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
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(pow.f64 (pow.f64 (E.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))))
(pow.f64 (pow.f64 (E.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))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 1) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) (*.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)))))) (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
Outputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(exp.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0)
(-.f64 (atan.f64 (+.f64 N 1)) (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 N 1)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (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 N 1)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) 2)) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 (*.f64 1/3 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 2 (*.f64 1/3 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(+.f64 (*.f64 2 (*.f64 1/3 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (*.f64 1/3 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 0 (log.f64 (/.f64 (exp.f64 (atan.f64 N)) (exp.f64 (atan.f64 (+.f64 N 1))))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(-.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (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 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)) 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) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (/.f64 (pow.f64 (atan.f64 N) 2) (+.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)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (log.f64 (neg.f64 (exp.f64 (atan.f64 (+.f64 N 1))))) (log.f64 (neg.f64 (exp.f64 (atan.f64 N)))))
(-.f64 (+.f64 (log.f64 -1) (atan.f64 (+.f64 N 1))) (+.f64 (log.f64 -1) (atan.f64 N)))
(+.f64 (log.f64 -1) (-.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 N) (log.f64 -1))))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (atan.f64 (+.f64 N 1)) (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 N 1)) (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 N 1)) (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 N 1)) (atan.f64 N))
(*.f64 3 (*.f64 1/3 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.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)) (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 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)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(*.f64 2 (*.f64 1/2 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(*.f64 1/3 (*.f64 3 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 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 N 1)) (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 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 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)) 2) (pow.f64 (atan.f64 N) 2)) (+.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)) (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 (-.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 (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)) 2) (pow.f64 (atan.f64 N) 2)) (+.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)) 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 (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 (atan.f64 N) 2)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 1)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/2)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) 1/3)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(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)
(/.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)))
(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)
(/.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)))
(neg.f64 (log.f64 (/.f64 (exp.f64 (atan.f64 N)) (exp.f64 (atan.f64 (+.f64 N 1))))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan2.f64 (+.f64 1 (-.f64 N N)) (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(exp.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1) 1))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(fma.f64 1 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
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(exp.f64 (-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(pow.f64 (pow.f64 (E.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))
(exp.f64 (-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(pow.f64 (pow.f64 (E.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))))
(exp.f64 (-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(exp.f64 (-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(pow.f64 (pow.f64 (E.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))))
(pow.f64 (pow.f64 (E.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))))
(pow.f64 (pow.f64 (E.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))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(exp.f64 (-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (sqrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (fabs.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 1) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(exp.f64 (-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) (*.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)))))) (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2))
(exp.f64 (-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(log.f64 (exp.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(exp.f64 (-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(exp.f64 (-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 3))
(exp.f64 (-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(exp.f64 (-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))
(exp.f64 (-.f64 (atan.f64 (-.f64 1 (neg.f64 N))) (atan.f64 N)))
(exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))

localize33.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(fma.f64 N (+.f64 1 N) 1)
✓99.3%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
Compiler

Compiled 21 to 15 computations (28.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite62.0ms (0.8%)

Algorithm
1×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
0836
116136
2198136
Stop Event
1×node limit
Counts
2 → 37
Calls
Call 1
Inputs
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 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))))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 (+.f64 N (*.f64 N N)) 1)
(+.f64 (*.f64 (+.f64 N (*.f64 N N)) 1) 1)
(-.f64 (+.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(*.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 N (*.f64 N N)) 3) 1) (+.f64 (*.f64 (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N))) (-.f64 1 (*.f64 (+.f64 N (*.f64 N N)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N))) 1) (-.f64 (+.f64 N (*.f64 N N)) 1))
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 2))
(log.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 1 N) 1)))
(exp.f64 (log.f64 (fma.f64 N (+.f64 1 N) 1)))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 1 N) 1)))

simplify59.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
632×fma-def
568×fma-neg
558×log-prod
516×unswap-sqr
406×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0911211
12031083
28051079
333661079
Stop Event
1×node limit
Counts
61 → 58
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))
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(-.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))))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 (+.f64 N (*.f64 N N)) 1)
(+.f64 (*.f64 (+.f64 N (*.f64 N N)) 1) 1)
(-.f64 (+.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(*.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 N (*.f64 N N)) 3) 1) (+.f64 (*.f64 (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N))) (-.f64 1 (*.f64 (+.f64 N (*.f64 N N)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N))) 1) (-.f64 (+.f64 N (*.f64 N N)) 1))
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 2))
(log.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 1 N) 1)))
(exp.f64 (log.f64 (fma.f64 N (+.f64 1 N) 1)))
(log1p.f64 (expm1.f64 (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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
1
(+.f64 N 1)
(+.f64 1 N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(-.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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(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 N (fma.f64 N N 1)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(+.f64 (+.f64 N (*.f64 N N)) 1)
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(+.f64 (*.f64 (+.f64 N (*.f64 N N)) 1) 1)
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(-.f64 (+.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(*.f64 1 (fma.f64 N (+.f64 1 N) 1))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(*.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(/.f64 (+.f64 (pow.f64 (+.f64 N (*.f64 N N)) 3) 1) (+.f64 (*.f64 (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N))) (-.f64 1 (*.f64 (+.f64 N (*.f64 N N)) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 N (*.f64 N N)) 3)) (fma.f64 (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N)) (-.f64 1 (+.f64 N (*.f64 N N)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (-.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) 1) (fma.f64 N N N)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 1 (*.f64 (fma.f64 N N N) (+.f64 N (fma.f64 N N -1)))))
(/.f64 (-.f64 (*.f64 (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N))) 1) (-.f64 (+.f64 N (*.f64 N N)) 1))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3)
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3) 1/3)
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2)
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 2))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(log.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(exp.f64 (log.f64 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 1 (+.f64 N (*.f64 N N)))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N N (+.f64 1 N))

eval194.0ms (2.6%)

Compiler

Compiled 7500 to 5041 computations (32.8% saved)

prune86.0ms (1.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New39910409
Fresh000
Picked011
Done202
Total40111412
Accurracy
99.4%
Counts
412 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
97.3%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
✓99.3%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
▶99.3%
(atan2.f64 1 (-.f64 (+.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1))
▶99.3%
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
58.0%
(atan2.f64 1 (+.f64 N (*.f64 N N)))
▶53.3%
(atan2.f64 1 (+.f64 N 1))
57.9%
(atan2.f64 1 (*.f64 N N))
▶52.4%
(atan2.f64 1 1)
97.4%
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
▶85.0%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
Compiler

Compiled 197 to 157 computations (20.3% saved)

localize53.0ms (0.7%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(fma.f64 N (+.f64 1 N) 1)
✓100.0%
(-.f64 (+.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
✓99.3%
(atan2.f64 1 (-.f64 (+.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1))
Compiler

Compiled 43 to 33 computations (23.3% saved)

series0.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite108.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1262×unpow-prod-down
922×fma-def
874×log-prod
712×prod-diff
562×pow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01060
122236
2312336
Stop Event
1×node limit
Counts
2 → 133
Calls
Call 1
Inputs
(atan2.f64 1 (-.f64 (+.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1))
(-.f64 (+.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
Outputs
(+.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)))) (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) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (pow.f64 (cbrt.f64 (sqrt.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 1 1/3) (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.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))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3))
(*.f64 (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))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) (cbrt.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)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/2) 1/3) (pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.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)
(pow.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) 1/2)
(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))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 1 (fma.f64 N N N))
(+.f64 1 (*.f64 (fma.f64 N N N) 1))
(+.f64 (+.f64 1 (fma.f64 N N N)) 0)
(+.f64 (+.f64 (fma.f64 N N N) 2) -1)
(+.f64 0 (+.f64 1 (fma.f64 N N N)))
(+.f64 (fma.f64 N N N) 1)
(+.f64 -1 (+.f64 (fma.f64 N N N) 2))
(+.f64 (*.f64 (fma.f64 N N N) 1) 1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))))
(*.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (+.f64 1 (fma.f64 N N N)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (pow.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 2))
(*.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))
(*.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2)))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1) (/.f64 1 (+.f64 1 (+.f64 (fma.f64 N N N) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1) (pow.f64 (/.f64 1 (+.f64 1 (+.f64 (fma.f64 N N N) 2))) 1))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) (-.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 3) (pow.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 1 (fma.f64 N N N)) (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 5/2) 1/3) (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 2) (pow.f64 (sqrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2))) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (fma.f64 N N N) 2)) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (-.f64 1 (*.f64 (+.f64 (fma.f64 N N N) 2) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1) (+.f64 1 (+.f64 (fma.f64 N N N) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1)) (neg.f64 (+.f64 1 (+.f64 (fma.f64 N N N) 2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 N N N) 2) (fma.f64 N N N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 3) 1) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (*.f64 (fma.f64 N N N) 1))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (fma.f64 N N N)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) 2) 1) (-.f64 (fma.f64 N N N) 1))
(pow.f64 (+.f64 1 (fma.f64 N N N)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3) 1/3)
(pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2))) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (+.f64 (fma.f64 N N N) 2)) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2))
(log.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 N N N)))))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3))
(expm1.f64 (log.f64 (+.f64 (fma.f64 N N N) 2)))
(expm1.f64 (*.f64 (log.f64 (+.f64 (fma.f64 N N N) 2)) 1))
(hypot.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (sqrt.f64 (*.f64 (+.f64 1 (fma.f64 N N N)) (fma.f64 N N N))))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (fma.f64 N N N))) 1/3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (fma.f64 N N N))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 N N N))))
(fma.f64 1 (+.f64 1 (fma.f64 N N N)) 0)
(fma.f64 1 (+.f64 (fma.f64 N N N) 2) -1)
(fma.f64 1 (fma.f64 N N N) 1)
(fma.f64 N (+.f64 1 N) 1)
(fma.f64 (+.f64 1 N) N 1)
(fma.f64 (+.f64 1 (fma.f64 N N N)) 1 0)
(fma.f64 (+.f64 (fma.f64 N N N) 2) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 (fma.f64 N N N) 2)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2)) (cbrt.f64 (+.f64 (fma.f64 N N N) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) -1)
(fma.f64 (cbrt.f64 (*.f64 N N)) (*.f64 (cbrt.f64 N) (+.f64 1 N)) 1)
(fma.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 0)
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) -1)
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) (*.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) -1)
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.f64 1 N)) 1)
(fma.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 0)
(fma.f64 (fma.f64 N N N) 1 1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3)) (/.f64 1 (fma.f64 (+.f64 1 (fma.f64 N N N)) (fma.f64 N N N) 1)) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2)))) 0)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2)) (/.f64 1 (-.f64 (-.f64 1 (fma.f64 N N N)) 1)) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1) (/.f64 1 (+.f64 1 (+.f64 (fma.f64 N N N) 2))) 0)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 N N N)) (cbrt.f64 (fma.f64 N N N))) (cbrt.f64 (fma.f64 N N N)) 1)
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)) 1)
(fma.f64 (pow.f64 (fma.f64 N N N) 1/2) (pow.f64 (fma.f64 N N N) 1/2) 1)
(fma.f64 (+.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1) (-.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) (-.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) 0)
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 (+.f64 1 N)) 2)) (cbrt.f64 (+.f64 1 N)) 1)
(fma.f64 (*.f64 N (sqrt.f64 (+.f64 1 N))) (sqrt.f64 (+.f64 1 N)) 1)

simplify88.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
682×associate-+r+
662×associate-+l+
474×exp-prod
460×sqr-pow
368×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03354859
17944355
226194259
Stop Event
1×node limit
Counts
157 → 192
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))
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.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)))) (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) (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2) (pow.f64 (cbrt.f64 (sqrt.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 1 1/3) (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (cbrt.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))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3))
(*.f64 (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))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) (cbrt.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)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/2) 1/3) (pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.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)
(pow.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) 1/2)
(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))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 1 (fma.f64 N N N))
(+.f64 1 (*.f64 (fma.f64 N N N) 1))
(+.f64 (+.f64 1 (fma.f64 N N N)) 0)
(+.f64 (+.f64 (fma.f64 N N N) 2) -1)
(+.f64 0 (+.f64 1 (fma.f64 N N N)))
(+.f64 (fma.f64 N N N) 1)
(+.f64 -1 (+.f64 (fma.f64 N N N) 2))
(+.f64 (*.f64 (fma.f64 N N N) 1) 1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))))
(*.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (+.f64 1 (fma.f64 N N N)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (pow.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 2))
(*.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))
(*.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2)))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1) (/.f64 1 (+.f64 1 (+.f64 (fma.f64 N N N) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1) (pow.f64 (/.f64 1 (+.f64 1 (+.f64 (fma.f64 N N N) 2))) 1))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) (-.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 3) (pow.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 1 (fma.f64 N N N)) (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 5/2) 1/3) (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 2) (pow.f64 (sqrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2))) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (fma.f64 N N N) 2)) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (-.f64 1 (*.f64 (+.f64 (fma.f64 N N N) 2) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1) (+.f64 1 (+.f64 (fma.f64 N N N) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1)) (neg.f64 (+.f64 1 (+.f64 (fma.f64 N N N) 2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 N N N) 2) (fma.f64 N N N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 3) 1) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (*.f64 (fma.f64 N N N) 1))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (fma.f64 N N N)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) 2) 1) (-.f64 (fma.f64 N N N) 1))
(pow.f64 (+.f64 1 (fma.f64 N N N)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3) 1/3)
(pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2))) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (+.f64 (fma.f64 N N N) 2)) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2))
(log.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 N N N)))))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3))
(expm1.f64 (log.f64 (+.f64 (fma.f64 N N N) 2)))
(expm1.f64 (*.f64 (log.f64 (+.f64 (fma.f64 N N N) 2)) 1))
(hypot.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (sqrt.f64 (*.f64 (+.f64 1 (fma.f64 N N N)) (fma.f64 N N N))))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (fma.f64 N N N))) 1/3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (fma.f64 N N N))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 N N N))))
(fma.f64 1 (+.f64 1 (fma.f64 N N N)) 0)
(fma.f64 1 (+.f64 (fma.f64 N N N) 2) -1)
(fma.f64 1 (fma.f64 N N N) 1)
(fma.f64 N (+.f64 1 N) 1)
(fma.f64 (+.f64 1 N) N 1)
(fma.f64 (+.f64 1 (fma.f64 N N N)) 1 0)
(fma.f64 (+.f64 (fma.f64 N N N) 2) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 (fma.f64 N N N) 2)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2)) (cbrt.f64 (+.f64 (fma.f64 N N N) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) -1)
(fma.f64 (cbrt.f64 (*.f64 N N)) (*.f64 (cbrt.f64 N) (+.f64 1 N)) 1)
(fma.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 0)
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) -1)
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) (*.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) -1)
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.f64 1 N)) 1)
(fma.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 0)
(fma.f64 (fma.f64 N N N) 1 1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3)) (/.f64 1 (fma.f64 (+.f64 1 (fma.f64 N N N)) (fma.f64 N N N) 1)) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2)))) 0)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2)) (/.f64 1 (-.f64 (-.f64 1 (fma.f64 N N N)) 1)) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1) (/.f64 1 (+.f64 1 (+.f64 (fma.f64 N N N) 2))) 0)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 N N N)) (cbrt.f64 (fma.f64 N N N))) (cbrt.f64 (fma.f64 N N N)) 1)
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)) 1)
(fma.f64 (pow.f64 (fma.f64 N N N) 1/2) (pow.f64 (fma.f64 N N N) 1/2) 1)
(fma.f64 (+.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1) (-.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) (-.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) 0)
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 (+.f64 1 N)) 2)) (cbrt.f64 (+.f64 1 N)) 1)
(fma.f64 (*.f64 N (sqrt.f64 (+.f64 1 N))) (sqrt.f64 (+.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 (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)))
(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 (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 (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)))
1
(+.f64 N 1)
(+.f64 1 N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 0 (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)))
(+.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 (*.f64 2 (log.f64 (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 3 (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(+.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 2 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(-.f64 (exp.f64 (log1p.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)))
(*.f64 1 (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)))
(*.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)))
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))
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(fma.f64 N (+.f64 1 N) 1)
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)) 1)
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(fma.f64 (pow.f64 (fma.f64 N N N) 1/2) (pow.f64 (fma.f64 N N N) 1/2) 1)
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(fma.f64 (+.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1) (-.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1) 1)
(fma.f64 (+.f64 1 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) (+.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) -1) 1)
(fma.f64 (+.f64 1 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) (+.f64 -1 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) (-.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) 0)
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 (+.f64 1 N)) 2)) (cbrt.f64 (+.f64 1 N)) 1)
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(fma.f64 (*.f64 N (sqrt.f64 (+.f64 1 N))) (sqrt.f64 (+.f64 1 N)) 1)
(+.f64 N (+.f64 1 (*.f64 N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)

localize14.0ms (0.2%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize25.0ms (0.3%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize66.0ms (0.9%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 N (*.f64 N N))
✓99.3%
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
Compiler

Compiled 28 to 11 computations (60.7% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite83.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1868×pow1
1744×add-exp-log
1740×log1p-expm1-u
1740×expm1-log1p-u
186×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0838
117630
2249130
Stop Event
1×node limit
Counts
2 → 60
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
(+.f64 N (*.f64 N N))
Outputs
(-.f64 (+.f64 1 (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 (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)))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(pow.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))) 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))
(log.f64 (exp.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 (+.f64 1 (fma.f64 N N N)) 1)
(-.f64 (/.f64 (*.f64 N N) (-.f64 N (*.f64 N N))) (/.f64 (pow.f64 N 4) (-.f64 N (*.f64 N N))))
(*.f64 1 (fma.f64 N N N))
(*.f64 N (+.f64 1 N))
(*.f64 (fma.f64 N N N) 1)
(*.f64 (cbrt.f64 (fma.f64 N N N)) (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) (cbrt.f64 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) (*.f64 (cbrt.f64 (fma.f64 N N N)) 1))
(*.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)))
(*.f64 (hypot.f64 N (sqrt.f64 N)) (*.f64 (hypot.f64 N (sqrt.f64 N)) 1))
(*.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (-.f64 N (*.f64 N N))))
(*.f64 (+.f64 1 N) N)
(*.f64 (*.f64 (+.f64 1 N) 1) N)
(*.f64 (*.f64 (+.f64 1 N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N))
(/.f64 1 (/.f64 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))) (+.f64 (pow.f64 N 6) (pow.f64 N 3))))
(/.f64 1 (/.f64 (-.f64 N (*.f64 N N)) (-.f64 (*.f64 N N) (pow.f64 N 4))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) (pow.f64 N 3))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3))) (neg.f64 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 N 4))) (neg.f64 (-.f64 N (*.f64 N N))))
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (-.f64 (*.f64 N N) N))
(/.f64 (*.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) 1) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) 1) (-.f64 N (*.f64 N N)))
(pow.f64 (fma.f64 N N N) 1)
(pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)
(pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 2)
(sqrt.f64 (pow.f64 (fma.f64 N N N) 2))
(log.f64 (exp.f64 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (fma.f64 N N N) 3))
(expm1.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (log.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (fma.f64 N N N)) 1))
(log1p.f64 (expm1.f64 (fma.f64 N N N)))
(fma.f64 1 N (*.f64 N N))
(fma.f64 1 (*.f64 N N) N)
(fma.f64 N N N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 N N))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 N N))

simplify62.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1466×fma-neg
1400×div-sub
808×log-prod
720×fma-def
602×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01381676
13011560
210121532
347001518
Stop Event
1×node limit
Counts
84 → 73
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(-.f64 (+.f64 1 (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 (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)))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(pow.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))) 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))
(log.f64 (exp.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 (+.f64 1 (fma.f64 N N N)) 1)
(-.f64 (/.f64 (*.f64 N N) (-.f64 N (*.f64 N N))) (/.f64 (pow.f64 N 4) (-.f64 N (*.f64 N N))))
(*.f64 1 (fma.f64 N N N))
(*.f64 N (+.f64 1 N))
(*.f64 (fma.f64 N N N) 1)
(*.f64 (cbrt.f64 (fma.f64 N N N)) (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) (cbrt.f64 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) (*.f64 (cbrt.f64 (fma.f64 N N N)) 1))
(*.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)))
(*.f64 (hypot.f64 N (sqrt.f64 N)) (*.f64 (hypot.f64 N (sqrt.f64 N)) 1))
(*.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (-.f64 N (*.f64 N N))))
(*.f64 (+.f64 1 N) N)
(*.f64 (*.f64 (+.f64 1 N) 1) N)
(*.f64 (*.f64 (+.f64 1 N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N))
(/.f64 1 (/.f64 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))) (+.f64 (pow.f64 N 6) (pow.f64 N 3))))
(/.f64 1 (/.f64 (-.f64 N (*.f64 N N)) (-.f64 (*.f64 N N) (pow.f64 N 4))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) (pow.f64 N 3))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3))) (neg.f64 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 N 4))) (neg.f64 (-.f64 N (*.f64 N N))))
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (-.f64 (*.f64 N N) N))
(/.f64 (*.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) 1) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) 1) (-.f64 N (*.f64 N N)))
(pow.f64 (fma.f64 N N N) 1)
(pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)
(pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 2)
(sqrt.f64 (pow.f64 (fma.f64 N N N) 2))
(log.f64 (exp.f64 (fma.f64 N N N)))
(cbrt.f64 (pow.f64 (fma.f64 N N N) 3))
(expm1.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (log.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (fma.f64 N N N)) 1))
(log1p.f64 (expm1.f64 (fma.f64 N N N)))
(fma.f64 1 N (*.f64 N N))
(fma.f64 1 (*.f64 N N) N)
(fma.f64 N N N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 N N))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 N N))
Outputs
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
N
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(-.f64 (+.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.f64 1 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 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 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3) 1/3)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2)
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(atan2.f64 1 (+.f64 N (+.f64 1 (*.f64 N N))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N N (+.f64 1 N)))
(-.f64 (+.f64 1 (fma.f64 N N N)) 1)
(fma.f64 N N N)
(-.f64 (/.f64 (*.f64 N N) (-.f64 N (*.f64 N N))) (/.f64 (pow.f64 N 4) (-.f64 N (*.f64 N N))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(*.f64 (/.f64 (fma.f64 N N N) (-.f64 1 N)) (-.f64 1 N))
(/.f64 (-.f64 (/.f64 (pow.f64 N 4) N) N) (+.f64 N -1))
(*.f64 1 (fma.f64 N N N))
(fma.f64 N N N)
(*.f64 N (+.f64 1 N))
(fma.f64 N N N)
(*.f64 (fma.f64 N N N) 1)
(fma.f64 N N N)
(*.f64 (cbrt.f64 (fma.f64 N N N)) (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)))
(fma.f64 N N N)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) (cbrt.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) (*.f64 (cbrt.f64 (fma.f64 N N N)) 1))
(fma.f64 N N N)
(*.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)))
(fma.f64 N N N)
(*.f64 (hypot.f64 N (sqrt.f64 N)) (*.f64 (hypot.f64 N (sqrt.f64 N)) 1))
(fma.f64 N N N)
(*.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (*.f64 (*.f64 N N) (-.f64 (fma.f64 N N 1) N)))
(*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (-.f64 N (*.f64 N N))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(*.f64 (/.f64 (fma.f64 N N N) (-.f64 1 N)) (-.f64 1 N))
(/.f64 (-.f64 (/.f64 (pow.f64 N 4) N) N) (+.f64 N -1))
(*.f64 (+.f64 1 N) N)
(fma.f64 N N N)
(*.f64 (*.f64 (+.f64 1 N) 1) N)
(fma.f64 N N N)
(*.f64 (*.f64 (+.f64 1 N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(fma.f64 N N N)
(*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N))
(fma.f64 N N N)
(/.f64 1 (/.f64 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))) (+.f64 (pow.f64 N 6) (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (*.f64 (*.f64 N N) (-.f64 (fma.f64 N N 1) N)))
(/.f64 1 (/.f64 (-.f64 N (*.f64 N N)) (-.f64 (*.f64 N N) (pow.f64 N 4))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(*.f64 (/.f64 (fma.f64 N N N) (-.f64 1 N)) (-.f64 1 N))
(/.f64 (-.f64 (/.f64 (pow.f64 N 4) N) N) (+.f64 N -1))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (*.f64 (*.f64 N N) (-.f64 (fma.f64 N N 1) N)))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (*.f64 (*.f64 N N) (-.f64 (fma.f64 N N 1) N)))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(*.f64 (/.f64 (fma.f64 N N N) (-.f64 1 N)) (-.f64 1 N))
(/.f64 (-.f64 (/.f64 (pow.f64 N 4) N) N) (+.f64 N -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3))) (neg.f64 (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3)))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (*.f64 (*.f64 N N) (-.f64 (fma.f64 N N 1) N)))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 N 4))) (neg.f64 (-.f64 N (*.f64 N N))))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(*.f64 (/.f64 (fma.f64 N N N) (-.f64 1 N)) (-.f64 1 N))
(/.f64 (-.f64 (/.f64 (pow.f64 N 4) N) N) (+.f64 N -1))
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (-.f64 (*.f64 N N) N))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(*.f64 (/.f64 (fma.f64 N N N) (-.f64 1 N)) (-.f64 1 N))
(/.f64 (-.f64 (/.f64 (pow.f64 N 4) N) N) (+.f64 N -1))
(/.f64 (*.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) 1) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (fma.f64 N N (-.f64 (pow.f64 N 4) (pow.f64 N 3))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (*.f64 (*.f64 N N) (-.f64 (fma.f64 N N 1) N)))
(/.f64 (*.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) 1) (-.f64 N (*.f64 N N)))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N)))
(*.f64 (/.f64 (fma.f64 N N N) (-.f64 1 N)) (-.f64 1 N))
(/.f64 (-.f64 (/.f64 (pow.f64 N 4) N) N) (+.f64 N -1))
(pow.f64 (fma.f64 N N N) 1)
(fma.f64 N N N)
(pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)
(fma.f64 N N N)
(pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)
(fma.f64 N N N)
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 2)
(fma.f64 N N N)
(sqrt.f64 (pow.f64 (fma.f64 N N N) 2))
(fma.f64 N N N)
(log.f64 (exp.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(cbrt.f64 (pow.f64 (fma.f64 N N N) 3))
(fma.f64 N N N)
(expm1.f64 (log1p.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(exp.f64 (log.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(exp.f64 (*.f64 (log.f64 (fma.f64 N N N)) 1))
(fma.f64 N N N)
(log1p.f64 (expm1.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(fma.f64 1 N (*.f64 N N))
(fma.f64 N N N)
(fma.f64 1 (*.f64 N N) N)
(fma.f64 N N N)
(fma.f64 N N N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 N N))
(fma.f64 N N N)
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)) N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 N N))
(fma.f64 N N N)

localize72.0ms (1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(fma.f64 N (+.f64 1 N) 1)
99.3%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
✓99.1%
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
✓85.0%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
Compiler

Compiled 43 to 33 computations (23.3% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
N
@-inf
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
1.0ms
N
@inf
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
1.0ms
N
@0
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
0.0ms
N
@0
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
0.0ms
N
@-inf
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))

rewrite104.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
910×log-prod
714×exp-prod
606×prod-exp
542×pow-prod-down
514×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01248
124548
2266848
Stop Event
1×node limit
Counts
2 → 73
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
Outputs
(+.f64 0 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)) (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 (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)))))
(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))) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (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)
(pow.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))) 6) 1/6)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 9) 1/9)
(pow.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)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2) 2/3)
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (sqrt.f64 (log.f64 (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))
(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))))))
(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 3 (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))) 3/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (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))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 0 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))) 1)
(*.f64 1 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) (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))) 3) 1)
(*.f64 (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)))) (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))) 2) (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))) 5/2))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2))
(*.f64 (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1) (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) (cbrt.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 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/2) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 6))
(log.f64 (exp.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 9))
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))
(exp.f64 (*.f64 3 (log.f64 (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))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 9)) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2))
(exp.f64 (*.f64 (*.f64 3/2 (log.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)))) 3/2) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(exp.f64 (+.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3) (*.f64 2 (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))))) (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)))
(exp.f64 (+.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3)))
(exp.f64 (+.f64 (*.f64 3/2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (*.f64 (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)))) 3/2) (*.f64 3/2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2) (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2)))
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))

simplify74.0ms (1%)

Algorithm
1×egg-herbie
Rules
684×exp-prod
634×fma-def
588×unswap-sqr
552×distribute-lft-out
528×prod-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01782603
13682521
28872521
339202521
Stop Event
1×node limit
Counts
97 → 85
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))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 3)
(+.f64 0 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)) (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 (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)))))
(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))) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (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)
(pow.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))) 6) 1/6)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 9) 1/9)
(pow.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)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2) 2/3)
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (sqrt.f64 (log.f64 (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))
(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))))))
(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 3 (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))) 3/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (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))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 0 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))) 1)
(*.f64 1 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))
(*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) (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))) 3) 1)
(*.f64 (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)))) (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))) 2) (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))) 5/2))
(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2) (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3/2))
(*.f64 (*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 2) 1) (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (*.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) (cbrt.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 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 5/2) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 6))
(log.f64 (exp.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 9))
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))
(exp.f64 (*.f64 3 (log.f64 (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))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 9)) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3/2))
(exp.f64 (*.f64 (*.f64 3/2 (log.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)))) 3/2) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(exp.f64 (+.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3) (*.f64 2 (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))))) (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1)))
(exp.f64 (+.f64 (*.f64 2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3)))
(exp.f64 (+.f64 (*.f64 3/2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) (*.f64 (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)))) 3/2) (*.f64 3/2 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2) (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2)))
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))
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 (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)))
(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 (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 (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)))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)) 3)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
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(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2) (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 3/2)))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 3)

eval181.0ms (2.4%)

Compiler

Compiled 7211 to 4759 computations (34% saved)

prune113.0ms (1.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New4377444
Fresh145
Picked101
Done325
Total44213455
Accurracy
99.4%
Counts
455 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
99.1%
(atan2.f64 1 (fma.f64 (cbrt.f64 (*.f64 N N)) (*.f64 (+.f64 1 N) (cbrt.f64 N)) 1))
▶99.3%
(atan2.f64 1 (-.f64 (+.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1)) 1))
▶63.5%
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (-.f64 (*.f64 N N) N)) 1))
89.5%
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 N 4) N) N) (+.f64 N -1)) 1))
▶99.3%
(atan2.f64 1 (+.f64 (*.f64 (+.f64 1 N) N) 1))
58.0%
(atan2.f64 1 (+.f64 N (*.f64 N N)))
✓53.3%
(atan2.f64 1 (+.f64 N 1))
▶57.9%
(atan2.f64 1 (*.f64 N N))
✓52.4%
(atan2.f64 1 1)
92.9%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)))
▶97.4%
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
43.5%
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
Compiler

Compiled 296 to 225 computations (24% saved)

localize37.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(*.f64 (+.f64 1 N) N)
✓99.3%
(atan2.f64 1 (+.f64 (*.f64 (+.f64 1 N) N) 1))
Compiler

Compiled 28 to 20 computations (28.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite64.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1782×pow1
1648×log1p-expm1-u
1648×expm1-log1p-u
1646×add-exp-log
1620×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0834
117234
2228934
Stop Event
1×node limit
Counts
2 → 33
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 (*.f64 (+.f64 1 N) N) 1))
(*.f64 (+.f64 1 N) N)
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))))
(+.f64 N (*.f64 N N))
(+.f64 (*.f64 N N) N)
(-.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(/.f64 (*.f64 N (+.f64 1 (pow.f64 N 3))) (+.f64 1 (-.f64 (*.f64 N N) N)))
(/.f64 (*.f64 N (-.f64 1 (*.f64 N N))) (-.f64 1 N))
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) N) (+.f64 1 (-.f64 (*.f64 N N) N)))
(/.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N))
(pow.f64 (+.f64 N (*.f64 N N)) 1)
(pow.f64 (cbrt.f64 (+.f64 N (*.f64 N N))) 3)
(pow.f64 (pow.f64 (+.f64 N (*.f64 N N)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 N (*.f64 N N))) 2)
(sqrt.f64 (pow.f64 (+.f64 N (*.f64 N N)) 2))
(log.f64 (pow.f64 (exp.f64 N) (+.f64 1 N)))
(cbrt.f64 (pow.f64 (+.f64 N (*.f64 N N)) 3))
(expm1.f64 (log1p.f64 (+.f64 N (*.f64 N N))))
(exp.f64 (+.f64 (log1p.f64 N) (log.f64 N)))
(log1p.f64 (expm1.f64 (+.f64 N (*.f64 N N))))

simplify96.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1046×associate-*r*
918×associate-*l*
552×times-frac
540×unswap-sqr
508×fma-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
092959
1206935
2629931
34071923
Stop Event
1×node limit
Counts
57 → 51
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(-.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))))
(+.f64 N (*.f64 N N))
(+.f64 (*.f64 N N) N)
(-.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(/.f64 (*.f64 N (+.f64 1 (pow.f64 N 3))) (+.f64 1 (-.f64 (*.f64 N N) N)))
(/.f64 (*.f64 N (-.f64 1 (*.f64 N N))) (-.f64 1 N))
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) N) (+.f64 1 (-.f64 (*.f64 N N) N)))
(/.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N))
(pow.f64 (+.f64 N (*.f64 N N)) 1)
(pow.f64 (cbrt.f64 (+.f64 N (*.f64 N N))) 3)
(pow.f64 (pow.f64 (+.f64 N (*.f64 N N)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 N (*.f64 N N))) 2)
(sqrt.f64 (pow.f64 (+.f64 N (*.f64 N N)) 2))
(log.f64 (pow.f64 (exp.f64 N) (+.f64 1 N)))
(cbrt.f64 (pow.f64 (+.f64 N (*.f64 N N)) 3))
(expm1.f64 (log1p.f64 (+.f64 N (*.f64 N N))))
(exp.f64 (+.f64 (log1p.f64 N) (log.f64 N)))
(log1p.f64 (expm1.f64 (+.f64 N (*.f64 N N))))
Outputs
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))
(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 (*.f64 N (+.f64 N 1))))
(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 (*.f64 N (+.f64 N 1))))
(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 (*.f64 N (+.f64 N 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(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 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(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 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(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 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(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 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
N
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(-.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 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 N) 1))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 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 (+.f64 1 (fma.f64 N N N)))
(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))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(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))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N 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)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(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)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log.f64 (exp.f64 (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 N) 1))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(expm1.f64 (log1p.f64 (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 N) 1))
(exp.f64 (log.f64 (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 N) 1))
(log1p.f64 (expm1.f64 (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 N) 1))
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 (*.f64 N N) N)
(fma.f64 N N N)
(-.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(fma.f64 N N N)
(/.f64 (*.f64 N (+.f64 1 (pow.f64 N 3))) (+.f64 1 (-.f64 (*.f64 N N) N)))
(/.f64 N (/.f64 (+.f64 1 (-.f64 (*.f64 N N) N)) (+.f64 1 (pow.f64 N 3))))
(/.f64 (+.f64 N (pow.f64 N 4)) (-.f64 (fma.f64 N N 1) N))
(/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N)))
(/.f64 (*.f64 N (-.f64 1 (*.f64 N N))) (-.f64 1 N))
(/.f64 N (/.f64 (-.f64 1 N) (-.f64 1 (*.f64 N N))))
(*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))
(/.f64 (+.f64 N (neg.f64 (pow.f64 N 3))) (-.f64 1 N))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) N) (+.f64 1 (-.f64 (*.f64 N N) N)))
(/.f64 N (/.f64 (+.f64 1 (-.f64 (*.f64 N N) N)) (+.f64 1 (pow.f64 N 3))))
(/.f64 (+.f64 N (pow.f64 N 4)) (-.f64 (fma.f64 N N 1) N))
(/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N N (-.f64 1 N)))
(/.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N))
(/.f64 N (/.f64 (-.f64 1 N) (-.f64 1 (*.f64 N N))))
(*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (*.f64 N N)))
(/.f64 (+.f64 N (neg.f64 (pow.f64 N 3))) (-.f64 1 N))
(/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))
(pow.f64 (+.f64 N (*.f64 N N)) 1)
(fma.f64 N N N)
(pow.f64 (cbrt.f64 (+.f64 N (*.f64 N N))) 3)
(fma.f64 N N N)
(pow.f64 (pow.f64 (+.f64 N (*.f64 N N)) 3) 1/3)
(fma.f64 N N N)
(pow.f64 (sqrt.f64 (+.f64 N (*.f64 N N))) 2)
(fma.f64 N N N)
(sqrt.f64 (pow.f64 (+.f64 N (*.f64 N N)) 2))
(fma.f64 N N N)
(log.f64 (pow.f64 (exp.f64 N) (+.f64 1 N)))
(fma.f64 N N N)
(cbrt.f64 (pow.f64 (+.f64 N (*.f64 N N)) 3))
(fma.f64 N N N)
(expm1.f64 (log1p.f64 (+.f64 N (*.f64 N N))))
(fma.f64 N N N)
(exp.f64 (+.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 N (exp.f64 (log1p.f64 N)))
(log1p.f64 (expm1.f64 (+.f64 N (*.f64 N N))))
(fma.f64 N N N)

localize23.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓99.3%
(atan2.f64 1 (*.f64 N N))
Compiler

Compiled 12 to 6 computations (50% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite47.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
918×pow1
880×add-sqr-sqrt
868×*-un-lft-identity
840×add-exp-log
838×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
111113
2120113
Stop Event
1×node limit
Counts
1 → 19
Calls
Call 1
Inputs
(atan2.f64 1 (*.f64 N N))
Outputs
(+.f64 0 (atan2.f64 1 (*.f64 N N)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N)))) (cbrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))))
(-.f64 (+.f64 1 (atan2.f64 1 (*.f64 N N))) 1)
(*.f64 1 (atan2.f64 1 (*.f64 N N)))
(*.f64 (atan2.f64 1 (*.f64 N N)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N))))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))

simplify53.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1622×fma-def
1194×distribute-lft-in
1040×distribute-rgt-in
662×log-prod
436×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048471
184451
2323421
32091421
46506421
Stop Event
1×node limit
Counts
31 → 24
Calls
Call 1
Inputs
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (pow.f64 N 2))
(+.f64 0 (atan2.f64 1 (*.f64 N N)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N)))) (cbrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))))
(-.f64 (+.f64 1 (atan2.f64 1 (*.f64 N N))) 1)
(*.f64 1 (atan2.f64 1 (*.f64 N N)))
(*.f64 (atan2.f64 1 (*.f64 N N)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N))))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))
Outputs
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (*.f64 N N))
(+.f64 0 (atan2.f64 1 (*.f64 N N)))
(atan2.f64 1 (*.f64 N N))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))))
(atan2.f64 1 (*.f64 N N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N)))) (cbrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))) 3)
(-.f64 (+.f64 1 (atan2.f64 1 (*.f64 N N))) 1)
(atan2.f64 1 (*.f64 N N))
(*.f64 1 (atan2.f64 1 (*.f64 N N)))
(atan2.f64 1 (*.f64 N N))
(*.f64 (atan2.f64 1 (*.f64 N N)) 1)
(atan2.f64 1 (*.f64 N N))
(*.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)))
(atan2.f64 1 (*.f64 N N))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2)) (cbrt.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(*.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) (sqrt.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(pow.f64 (atan2.f64 1 (*.f64 N N)) 1)
(atan2.f64 1 (*.f64 N N))
(pow.f64 (cbrt.f64 (atan2.f64 1 (*.f64 N N))) 3)
(atan2.f64 1 (*.f64 N N))
(pow.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3) 1/3)
(atan2.f64 1 (*.f64 N N))
(pow.f64 (sqrt.f64 (atan2.f64 1 (*.f64 N N))) 2)
(atan2.f64 1 (*.f64 N N))
(sqrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 2))
(atan2.f64 1 (*.f64 N N))
(log.f64 (exp.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
(atan2.f64 1 (*.f64 N N))
(expm1.f64 (log1p.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))
(log1p.f64 (expm1.f64 (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 (*.f64 N N))

localize50.0ms (0.7%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(-.f64 (+.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1)) 1)
100.0%
(+.f64 N (*.f64 N N))
✓99.3%
(atan2.f64 1 (-.f64 (+.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1)) 1))
Compiler

Compiled 52 to 25 computations (51.9% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite93.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1624×fma-def
934×log-prod
668×pow-prod-down
614×fma-neg
530×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01068
123836
2365836
Stop Event
1×node limit
Counts
2 → 158
Calls
Call 1
Inputs
(atan2.f64 1 (-.f64 (+.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1)) 1))
(-.f64 (+.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1)) 1)
Outputs
(+.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)))) (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) (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)))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(pow.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) 1/2)
(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))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 N (*.f64 (fma.f64 N N 1) 1))
(+.f64 (*.f64 N N) (+.f64 1 N))
(+.f64 (fma.f64 N N N) 1)
(+.f64 (+.f64 1 (fma.f64 N N N)) 0)
(+.f64 (+.f64 (fma.f64 N N N) 2) -1)
(+.f64 0 (+.f64 1 (fma.f64 N N N)))
(+.f64 -1 (+.f64 (fma.f64 N N N) 2))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 (fma.f64 N N 1) N)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))))
(*.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (+.f64 1 (fma.f64 N N N)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (+.f64 1 (fma.f64 N N N))))
(*.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) (hypot.f64 N (sqrt.f64 (+.f64 1 N))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (/.f64 1 (+.f64 N (fma.f64 N N -1))))
(*.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1) (/.f64 1 (+.f64 1 (+.f64 (fma.f64 N N N) 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) (-.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2))) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (fma.f64 N N N) 2)) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))) (+.f64 1 (pow.f64 (fma.f64 N N N) 3))))
(/.f64 1 (/.f64 (+.f64 N (fma.f64 N N -1)) (+.f64 (pow.f64 (fma.f64 N N N) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 N N N) 2) (fma.f64 N N N))))
(/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (-.f64 1 (*.f64 (+.f64 (fma.f64 N N N) 2) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (+.f64 N (fma.f64 N N -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1) (+.f64 1 (+.f64 (fma.f64 N N N) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1)) (neg.f64 (+.f64 1 (+.f64 (fma.f64 N N N) 2))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1)) (neg.f64 (+.f64 N (fma.f64 N N -1))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3)) (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N (fma.f64 N N 1)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (fma.f64 N N N)))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1)))
(pow.f64 (+.f64 1 (fma.f64 N N N)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3) 1/3)
(pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2))) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (+.f64 (fma.f64 N N N) 2)) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1)) -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))) (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) -1)
(pow.f64 (/.f64 (+.f64 N (fma.f64 N N -1)) (+.f64 (pow.f64 (fma.f64 N N N) 2) -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2))
(log.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 N)) (exp.f64 (fma.f64 N N 1))))
(log.f64 (*.f64 (pow.f64 (exp.f64 N) N) (exp.f64 (+.f64 1 N))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (exp.f64 (+.f64 1 N))))
(log.f64 (*.f64 (exp.f64 (+.f64 1 N)) (pow.f64 (exp.f64 N) N)))
(log.f64 (*.f64 (exp.f64 (+.f64 1 N)) (+.f64 1 (expm1.f64 (*.f64 N N)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 N N 1)) (exp.f64 N)))
(log.f64 (*.f64 (exp.f64 (fma.f64 N N 1)) (+.f64 1 (expm1.f64 N))))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3))
(expm1.f64 (log.f64 (+.f64 (fma.f64 N N N) 2)))
(expm1.f64 (*.f64 (log.f64 (+.f64 (fma.f64 N N N) 2)) 1))
(hypot.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) (sqrt.f64 (*.f64 (+.f64 1 (fma.f64 N N N)) (fma.f64 N N N))))
(hypot.f64 (sqrt.f64 (*.f64 (+.f64 1 (fma.f64 N N N)) (fma.f64 N N N))) (hypot.f64 N (sqrt.f64 (+.f64 1 N))))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (fma.f64 N N N))) 1/3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (fma.f64 N N N))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 N N N))))
(fma.f64 1 N (fma.f64 N N 1))
(fma.f64 1 N (*.f64 (fma.f64 N N 1) 1))
(fma.f64 1 (*.f64 N N) (+.f64 1 N))
(fma.f64 1 (fma.f64 N N N) 1)
(fma.f64 1 (+.f64 1 (fma.f64 N N N)) 0)
(fma.f64 1 (+.f64 (fma.f64 N N N) 2) -1)
(fma.f64 1 (+.f64 1 N) (*.f64 N N))
(fma.f64 1 (fma.f64 N N 1) N)
(fma.f64 N 1 (fma.f64 N N 1))
(fma.f64 N 1 (*.f64 (fma.f64 N N 1) 1))
(fma.f64 N N (+.f64 1 N))
(fma.f64 N (+.f64 1 N) 1)
(fma.f64 (*.f64 N N) 1 (+.f64 1 N))
(fma.f64 (fma.f64 N N N) 1 1)
(fma.f64 (+.f64 1 (fma.f64 N N N)) 1 0)
(fma.f64 (+.f64 (fma.f64 N N N) 2) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 (fma.f64 N N N) 2)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2)) (cbrt.f64 (+.f64 (fma.f64 N N N) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) N) (+.f64 1 N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (fma.f64 N N 1))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 (fma.f64 N N 1) 1))
(fma.f64 (*.f64 (cbrt.f64 N) N) (pow.f64 (cbrt.f64 N) 2) (+.f64 1 N))
(fma.f64 (cbrt.f64 (fma.f64 N N N)) (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (cbrt.f64 (fma.f64 N N N)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (*.f64 (cbrt.f64 (fma.f64 N N N)) 1) 1)
(fma.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 0)
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (fma.f64 N N 1))
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (*.f64 (fma.f64 N N 1) 1))
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) -1)
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) (*.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) -1)
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)) 1)
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (*.f64 (hypot.f64 N (sqrt.f64 N)) 1) 1)
(fma.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 0)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (fma.f64 N N 1))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 (fma.f64 N N 1) 1))
(fma.f64 (sqrt.f64 N) (pow.f64 N 3/2) (+.f64 1 N))
(fma.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (/.f64 1 (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3))) 1)
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))) 0)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3)) (/.f64 1 (fma.f64 (+.f64 1 (fma.f64 N N N)) (fma.f64 N N N) 1)) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2)))) 0)
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (-.f64 N (*.f64 N N))) 1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (/.f64 1 (+.f64 N (fma.f64 N N -1))) 0)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2)) (/.f64 1 (-.f64 0 (fma.f64 N N N))) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1) (/.f64 1 (+.f64 1 (+.f64 (fma.f64 N N N) 2))) 0)
(fma.f64 (+.f64 1 N) N 1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 N)) (cbrt.f64 (+.f64 1 N))) (cbrt.f64 (+.f64 1 N)) (*.f64 N N))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 (fma.f64 N N 1))) (cbrt.f64 (fma.f64 N N 1)) N)
(fma.f64 (sqrt.f64 (+.f64 1 N)) (sqrt.f64 (+.f64 1 N)) (*.f64 N N))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 N) N)) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)) (fma.f64 N N 1))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 N) N)) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (fma.f64 N N 1) 1))
(fma.f64 (hypot.f64 1 N) (hypot.f64 1 N) N)
(fma.f64 (pow.f64 N 3/2) (sqrt.f64 N) (+.f64 1 N))
(fma.f64 (+.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 1) (-.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) (-.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) 0)
(fma.f64 (pow.f64 (cbrt.f64 N) 5) (cbrt.f64 N) (+.f64 1 N))
(fma.f64 (*.f64 (+.f64 1 N) 1) N 1)
(fma.f64 (*.f64 (+.f64 1 N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) 1)
(fma.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N) 1)

simplify80.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
946×unswap-sqr
860×associate-+r+
822×associate-+l+
472×cancel-sign-sub-inv
426×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03505072
17924764
222794664
Stop Event
1×node limit
Counts
182 → 205
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
1
(+.f64 N 1)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.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)))) (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) (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)))))
(pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1)
(pow.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) 1/2)
(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))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 N (*.f64 (fma.f64 N N 1) 1))
(+.f64 (*.f64 N N) (+.f64 1 N))
(+.f64 (fma.f64 N N N) 1)
(+.f64 (+.f64 1 (fma.f64 N N N)) 0)
(+.f64 (+.f64 (fma.f64 N N N) 2) -1)
(+.f64 0 (+.f64 1 (fma.f64 N N N)))
(+.f64 -1 (+.f64 (fma.f64 N N N) 2))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 (fma.f64 N N 1) N)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))))
(*.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (+.f64 1 (fma.f64 N N N)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (+.f64 1 (fma.f64 N N N))))
(*.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) (hypot.f64 N (sqrt.f64 (+.f64 1 N))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (/.f64 1 (+.f64 N (fma.f64 N N -1))))
(*.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1) (/.f64 1 (+.f64 1 (+.f64 (fma.f64 N N N) 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) (-.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2))) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (fma.f64 N N N) 2)) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))) (+.f64 1 (pow.f64 (fma.f64 N N N) 3))))
(/.f64 1 (/.f64 (+.f64 N (fma.f64 N N -1)) (+.f64 (pow.f64 (fma.f64 N N N) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 N N N) 2) (fma.f64 N N N))))
(/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (-.f64 1 (*.f64 (+.f64 (fma.f64 N N N) 2) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (+.f64 N (fma.f64 N N -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1) (+.f64 1 (+.f64 (fma.f64 N N N) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1)) (neg.f64 (+.f64 1 (+.f64 (fma.f64 N N N) 2))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1)) (neg.f64 (+.f64 N (fma.f64 N N -1))))
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (fma.f64 N N 1) 3)) (fma.f64 N N (-.f64 (pow.f64 (fma.f64 N N 1) 2) (*.f64 N (fma.f64 N N 1)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (fma.f64 N N N)))
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (fma.f64 N N 1) 2)) (-.f64 N (fma.f64 N N 1)))
(pow.f64 (+.f64 1 (fma.f64 N N N)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3) 1/3)
(pow.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2))) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (+.f64 (fma.f64 N N N) 2)) (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1)) -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))) (+.f64 1 (pow.f64 (fma.f64 N N N) 3))) -1)
(pow.f64 (/.f64 (+.f64 N (fma.f64 N N -1)) (+.f64 (pow.f64 (fma.f64 N N N) 2) -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2))
(log.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 N N N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 N)) (exp.f64 (fma.f64 N N 1))))
(log.f64 (*.f64 (pow.f64 (exp.f64 N) N) (exp.f64 (+.f64 1 N))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (exp.f64 (+.f64 1 N))))
(log.f64 (*.f64 (exp.f64 (+.f64 1 N)) (pow.f64 (exp.f64 N) N)))
(log.f64 (*.f64 (exp.f64 (+.f64 1 N)) (+.f64 1 (expm1.f64 (*.f64 N N)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 N N 1)) (exp.f64 N)))
(log.f64 (*.f64 (exp.f64 (fma.f64 N N 1)) (+.f64 1 (expm1.f64 N))))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3))
(expm1.f64 (log.f64 (+.f64 (fma.f64 N N N) 2)))
(expm1.f64 (*.f64 (log.f64 (+.f64 (fma.f64 N N N) 2)) 1))
(hypot.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) (sqrt.f64 (*.f64 (+.f64 1 (fma.f64 N N N)) (fma.f64 N N N))))
(hypot.f64 (sqrt.f64 (*.f64 (+.f64 1 (fma.f64 N N N)) (fma.f64 N N N))) (hypot.f64 N (sqrt.f64 (+.f64 1 N))))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (fma.f64 N N N))) 1/3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (fma.f64 N N N))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 N N N))))
(fma.f64 1 N (fma.f64 N N 1))
(fma.f64 1 N (*.f64 (fma.f64 N N 1) 1))
(fma.f64 1 (*.f64 N N) (+.f64 1 N))
(fma.f64 1 (fma.f64 N N N) 1)
(fma.f64 1 (+.f64 1 (fma.f64 N N N)) 0)
(fma.f64 1 (+.f64 (fma.f64 N N N) 2) -1)
(fma.f64 1 (+.f64 1 N) (*.f64 N N))
(fma.f64 1 (fma.f64 N N 1) N)
(fma.f64 N 1 (fma.f64 N N 1))
(fma.f64 N 1 (*.f64 (fma.f64 N N 1) 1))
(fma.f64 N N (+.f64 1 N))
(fma.f64 N (+.f64 1 N) 1)
(fma.f64 (*.f64 N N) 1 (+.f64 1 N))
(fma.f64 (fma.f64 N N N) 1 1)
(fma.f64 (+.f64 1 (fma.f64 N N N)) 1 0)
(fma.f64 (+.f64 (fma.f64 N N N) 2) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 (fma.f64 N N N) 2)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2)) (cbrt.f64 (+.f64 (fma.f64 N N N) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) N) (+.f64 1 N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (fma.f64 N N 1))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 (fma.f64 N N 1) 1))
(fma.f64 (*.f64 (cbrt.f64 N) N) (pow.f64 (cbrt.f64 N) 2) (+.f64 1 N))
(fma.f64 (cbrt.f64 (fma.f64 N N N)) (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (cbrt.f64 (fma.f64 N N N)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (*.f64 (cbrt.f64 (fma.f64 N N N)) 1) 1)
(fma.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 0)
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (fma.f64 N N 1))
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (*.f64 (fma.f64 N N 1) 1))
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) -1)
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) (*.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) -1)
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)) 1)
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (*.f64 (hypot.f64 N (sqrt.f64 N)) 1) 1)
(fma.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 0)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (fma.f64 N N 1))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 (fma.f64 N N 1) 1))
(fma.f64 (sqrt.f64 N) (pow.f64 N 3/2) (+.f64 1 N))
(fma.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (/.f64 1 (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3))) 1)
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))) 0)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3)) (/.f64 1 (fma.f64 (+.f64 1 (fma.f64 N N N)) (fma.f64 N N N) 1)) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2)))) 0)
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (-.f64 N (*.f64 N N))) 1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (/.f64 1 (+.f64 N (fma.f64 N N -1))) 0)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2)) (/.f64 1 (-.f64 0 (fma.f64 N N N))) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1) (/.f64 1 (+.f64 1 (+.f64 (fma.f64 N N N) 2))) 0)
(fma.f64 (+.f64 1 N) N 1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 N)) (cbrt.f64 (+.f64 1 N))) (cbrt.f64 (+.f64 1 N)) (*.f64 N N))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 (fma.f64 N N 1))) (cbrt.f64 (fma.f64 N N 1)) N)
(fma.f64 (sqrt.f64 (+.f64 1 N)) (sqrt.f64 (+.f64 1 N)) (*.f64 N N))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 N) N)) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)) (fma.f64 N N 1))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 N) N)) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (fma.f64 N N 1) 1))
(fma.f64 (hypot.f64 1 N) (hypot.f64 1 N) N)
(fma.f64 (pow.f64 N 3/2) (sqrt.f64 N) (+.f64 1 N))
(fma.f64 (+.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 1) (-.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) (-.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) 0)
(fma.f64 (pow.f64 (cbrt.f64 N) 5) (cbrt.f64 N) (+.f64 1 N))
(fma.f64 (*.f64 (+.f64 1 N) 1) N 1)
(fma.f64 (*.f64 (+.f64 1 N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) 1)
(fma.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N) 1)
Outputs
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (+.f64 N (+.f64 1 (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
1
(+.f64 N 1)
(+.f64 1 N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (+.f64 1 (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(+.f64 0 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(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 (*.f64 2 (log.f64 (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 3 (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 2 (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)
(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 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 2))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.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)))
(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 (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 (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 (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)))
(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)))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))) 1) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 3))
(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 (+.f64 1 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2))
(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)))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 N (*.f64 (fma.f64 N N 1) 1))
(+.f64 1 (fma.f64 N N N))
(+.f64 (*.f64 N N) (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(+.f64 (fma.f64 N N N) 1)
(+.f64 1 (fma.f64 N N N))
(+.f64 (+.f64 1 (fma.f64 N N N)) 0)
(+.f64 1 (fma.f64 N N N))
(+.f64 (+.f64 (fma.f64 N N N) 2) -1)
(+.f64 1 (fma.f64 N N N))
(+.f64 0 (+.f64 1 (fma.f64 N N N)))
(+.f64 1 (fma.f64 N N N))
(+.f64 -1 (+.f64 (fma.f64 N N N) 2))
(+.f64 1 (fma.f64 N N N))
(+.f64 (+.f64 1 N) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(+.f64 (fma.f64 N N 1) N)
(+.f64 1 (fma.f64 N N N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N)))) (cbrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (fma.f64 N N N))))))
(*.f64 1 (+.f64 1 (fma.f64 N N N)))
(+.f64 1 (fma.f64 N N N))
(*.f64 (+.f64 1 (fma.f64 N N N)) 1)
(+.f64 1 (fma.f64 N N N))
(*.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2))
(+.f64 1 (fma.f64 N N N))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (+.f64 1 (fma.f64 N N N))))
(+.f64 1 (fma.f64 N N N))
(*.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) (hypot.f64 N (sqrt.f64 (+.f64 1 N))))
(+.f64 1 (fma.f64 N N N))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) 1) (fma.f64 N N N))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (-.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 2)) (fma.f64 N N N)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(*.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 2 (fma.f64 N N N)) 3)) 1) (+.f64 (pow.f64 (+.f64 2 (fma.f64 N N N)) 2) (+.f64 1 (+.f64 2 (fma.f64 N N N)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (fma.f64 N N N)) 3)) (+.f64 (pow.f64 (+.f64 2 (fma.f64 N N N)) 2) (+.f64 (fma.f64 N N N) 3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (fma.f64 N N N)) 3)) (+.f64 1 (*.f64 (+.f64 2 (fma.f64 N N N)) (+.f64 (fma.f64 N N N) 3))))
(*.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (/.f64 1 (+.f64 N (fma.f64 N N -1))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 N N N) 2)) (/.f64 1 (+.f64 N (fma.f64 N N -1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 N N N) 2)) (+.f64 N (fma.f64 N N -1)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (fma.f64 N N N)))
(*.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1) (/.f64 1 (+.f64 1 (+.f64 (fma.f64 N N N) 2))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 2 (fma.f64 N N N)) 2)) 1) (+.f64 1 (+.f64 2 (fma.f64 N N N))))
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(fma.f64 (cbrt.f64 (fma.f64 N N N)) (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (cbrt.f64 (fma.f64 N N N)) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (*.f64 (cbrt.f64 (fma.f64 N N N)) 1) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) 0)
(+.f64 1 (fma.f64 N N N))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (+.f64 1 (fma.f64 N N N))) 0)
(+.f64 1 (fma.f64 N N N))
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (*.f64 (fma.f64 N N 1) 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) -1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) (*.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) -1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)) 1)
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (*.f64 (hypot.f64 N (sqrt.f64 N)) 1) 1)
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)) 1)
(fma.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 0)
(+.f64 1 (fma.f64 N N N))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (fma.f64 N N 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 (fma.f64 N N 1) 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (sqrt.f64 N) (pow.f64 N 3/2) (+.f64 1 N))
(fma.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (/.f64 1 (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3))) 1)
(+.f64 1 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 N 6)) (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3))))
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))) 0)
(*.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) 1) (fma.f64 N N N))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (-.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 2)) (fma.f64 N N N)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N))))
(fma.f64 (+.f64 1 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3)) (/.f64 1 (fma.f64 (+.f64 1 (fma.f64 N N N)) (fma.f64 N N N) 1)) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3)) (/.f64 1 (fma.f64 (fma.f64 N N N) (+.f64 1 (fma.f64 N N N)) 1)) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (fma.f64 N N N)) 3)) (fma.f64 (fma.f64 N N N) (+.f64 1 (fma.f64 N N N)) 1)))
(fma.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) (+.f64 1 (+.f64 (fma.f64 N N N) 2)))) 0)
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 2 (fma.f64 N N N)) 3)) 1) (+.f64 (pow.f64 (+.f64 2 (fma.f64 N N N)) 2) (+.f64 1 (+.f64 2 (fma.f64 N N N)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (fma.f64 N N N)) 3)) (+.f64 (pow.f64 (+.f64 2 (fma.f64 N N N)) 2) (+.f64 (fma.f64 N N N) 3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (fma.f64 N N N)) 3)) (+.f64 1 (*.f64 (+.f64 2 (fma.f64 N N N)) (+.f64 (fma.f64 N N N) 3))))
(fma.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (/.f64 1 (-.f64 N (*.f64 N N))) 1)
(+.f64 1 (/.f64 (-.f64 (*.f64 N N) (pow.f64 N 4)) (-.f64 N (*.f64 N N))))
(fma.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (/.f64 1 (+.f64 N (fma.f64 N N -1))) 0)
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 N N N) 2)) (/.f64 1 (+.f64 N (fma.f64 N N -1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 N N N) 2)) (+.f64 N (fma.f64 N N -1)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (-.f64 1 (fma.f64 N N N)))
(fma.f64 (-.f64 1 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2)) (/.f64 1 (-.f64 0 (fma.f64 N N N))) -1)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2)) (/.f64 1 (neg.f64 (fma.f64 N N N))) -1)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 1 (fma.f64 N N N)) 2)) (/.f64 -1 (fma.f64 N N N)) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 N N N) 2) 2) -1) (/.f64 1 (+.f64 1 (+.f64 (fma.f64 N N N) 2))) 0)
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 2 (fma.f64 N N N)) 2)) 1) (+.f64 1 (+.f64 2 (fma.f64 N N N))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (fma.f64 N N N)) 2)) (+.f64 (fma.f64 N N N) 3))
(fma.f64 (+.f64 1 N) N 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 N)) (cbrt.f64 (+.f64 1 N))) (cbrt.f64 (+.f64 1 N)) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 N N 1)) (cbrt.f64 (fma.f64 N N 1))) (cbrt.f64 (fma.f64 N N 1)) N)
(+.f64 1 (fma.f64 N N N))
(fma.f64 (sqrt.f64 (+.f64 1 N)) (sqrt.f64 (+.f64 1 N)) (*.f64 N N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 N) N)) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)) (fma.f64 N N 1))
(fma.f64 (sqrt.f64 (*.f64 N (cbrt.f64 N))) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)) (fma.f64 N N 1))
(fma.f64 (sqrt.f64 (*.f64 N (cbrt.f64 N))) (fabs.f64 (cbrt.f64 N)) (fma.f64 N N 1))
(fma.f64 (sqrt.f64 (*.f64 N (cbrt.f64 N))) (cbrt.f64 N) (fma.f64 N N 1))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 N) N)) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (fma.f64 N N 1) 1))
(fma.f64 (sqrt.f64 (*.f64 N (cbrt.f64 N))) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)) (fma.f64 N N 1))
(fma.f64 (sqrt.f64 (*.f64 N (cbrt.f64 N))) (fabs.f64 (cbrt.f64 N)) (fma.f64 N N 1))
(fma.f64 (sqrt.f64 (*.f64 N (cbrt.f64 N))) (cbrt.f64 N) (fma.f64 N N 1))
(fma.f64 (hypot.f64 1 N) (hypot.f64 1 N) N)
(fma.f64 (pow.f64 N 3/2) (sqrt.f64 N) (+.f64 1 N))
(fma.f64 (sqrt.f64 N) (pow.f64 N 3/2) (+.f64 1 N))
(fma.f64 (+.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 1) (-.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) 1) 1)
(fma.f64 (+.f64 1 (hypot.f64 N (sqrt.f64 (+.f64 1 N)))) (+.f64 (hypot.f64 N (sqrt.f64 (+.f64 1 N))) -1) 1)
(fma.f64 (+.f64 1 (hypot.f64 N (sqrt.f64 (+.f64 1 N)))) (+.f64 -1 (hypot.f64 N (sqrt.f64 (+.f64 1 N)))) 1)
(fma.f64 (+.f64 1 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) (+.f64 -1 (hypot.f64 N (hypot.f64 1 (sqrt.f64 N)))) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) (-.f64 (sqrt.f64 (+.f64 (fma.f64 N N N) 2)) 1) 0)
(+.f64 1 (fma.f64 N N N))
(fma.f64 (pow.f64 (cbrt.f64 N) 5) (cbrt.f64 N) (+.f64 1 N))
(+.f64 1 (fma.f64 N N N))
(fma.f64 (*.f64 (+.f64 1 N) 1) N 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 (*.f64 (+.f64 1 N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N) 1)
(+.f64 1 (fma.f64 N N N))

localize69.0ms (0.9%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(-.f64 (*.f64 N N) N)
✓99.3%
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (-.f64 (*.f64 N N) N)) 1))
✓78.8%
(-.f64 (pow.f64 N 4) (*.f64 N N))
✓44.7%
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (-.f64 (*.f64 N N) N))
Compiler

Compiled 68 to 29 computations (57.4% saved)

series3.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
N
@-inf
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (-.f64 (*.f64 N N) N))
0.0ms
N
@0
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (-.f64 (*.f64 N N) N))
0.0ms
N
@inf
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (-.f64 (*.f64 N N) N))
0.0ms
N
@-inf
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (-.f64 (*.f64 N N) N)) 1))
0.0ms
N
@inf
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (-.f64 (*.f64 N N) N)) 1))

rewrite114.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1482×fma-def
1256×log-prod
618×fma-neg
610×pow-exp
462×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012118
128362
2401162
Stop Event
1×node limit
Counts
4 → 351
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (-.f64 (*.f64 N N) N))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (-.f64 (*.f64 N N) N)) 1))
(-.f64 (*.f64 N N) N)
Outputs
(+.f64 N (*.f64 N N))
(+.f64 (*.f64 N N) N)
(+.f64 0 (fma.f64 N N N))
(+.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (neg.f64 (/.f64 N (/.f64 (-.f64 (*.f64 N N) N) N))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 N N N))) (cbrt.f64 (exp.f64 (fma.f64 N N N))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 N N N)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N N N)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N N N)))))
(-.f64 (+.f64 (fma.f64 N N N) 1) 1)
(-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (/.f64 N (/.f64 (-.f64 (*.f64 N N) N) N)))
(*.f64 N (+.f64 N 1))
(*.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (/.f64 1 (-.f64 (*.f64 N N) N)))
(*.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (*.f64 (/.f64 1 (-.f64 (*.f64 N N) N)) 1))
(*.f64 (fma.f64 N N N) 1)
(*.f64 1 (fma.f64 N N N))
(*.f64 (cbrt.f64 (fma.f64 N N N)) (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (cbrt.f64 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (*.f64 (cbrt.f64 (fma.f64 N N N)) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) (/.f64 1 (-.f64 (*.f64 N N) N))))
(*.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)))
(*.f64 (hypot.f64 N (sqrt.f64 N)) (*.f64 (hypot.f64 N (sqrt.f64 N)) 1))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) (/.f64 1 (-.f64 (*.f64 N N) N))))
(*.f64 (neg.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) (/.f64 1 (neg.f64 (-.f64 (*.f64 N N) N))))
(*.f64 (/.f64 1 (-.f64 (*.f64 N N) N)) (-.f64 (pow.f64 N 4) (*.f64 N N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) 2)) (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (cbrt.f64 (-.f64 (*.f64 N N) N))))
(*.f64 (/.f64 1 (hypot.f64 N (sqrt.f64 (neg.f64 N)))) (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (hypot.f64 N (sqrt.f64 (neg.f64 N)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) (-.f64 (*.f64 N N) N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) 2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) 2)) (cbrt.f64 (fma.f64 N N N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) 2) (hypot.f64 N (sqrt.f64 (neg.f64 N)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) (hypot.f64 N (sqrt.f64 (neg.f64 N)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) (-.f64 (*.f64 N N) N)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) (cbrt.f64 (-.f64 (*.f64 N N) N))))
(*.f64 (+.f64 N 1) N)
(*.f64 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (-.f64 (pow.f64 N 4) (*.f64 N N))) (fma.f64 N N N))
(*.f64 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (-.f64 (pow.f64 N 6) (pow.f64 N 3))) (fma.f64 N (fma.f64 N N N) (pow.f64 N 4)))
(pow.f64 (fma.f64 N N N) 1)
(pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)
(pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 2)
(pow.f64 (/.f64 1 (fma.f64 N N N)) -1)
(pow.f64 (/.f64 (/.f64 1 (fma.f64 N N N)) 1) -1)
(neg.f64 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (neg.f64 (-.f64 (*.f64 N N) N))))
(sqrt.f64 (pow.f64 (fma.f64 N N N) 2))
(log.f64 (exp.f64 (fma.f64 N N N)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N N))))
(log.f64 (*.f64 (pow.f64 (exp.f64 N) N) (exp.f64 N)))
(log.f64 (*.f64 (exp.f64 N) (pow.f64 (exp.f64 N) N)))
(log.f64 (*.f64 (exp.f64 N) (+.f64 1 (expm1.f64 (*.f64 N N)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 N)) (pow.f64 (exp.f64 N) N)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 N)) (+.f64 1 (expm1.f64 (*.f64 N N)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 N) N) (+.f64 1 (expm1.f64 N))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (exp.f64 N)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (+.f64 1 (expm1.f64 N))))
(cbrt.f64 (pow.f64 (fma.f64 N N N) 3))
(expm1.f64 (log1p.f64 (fma.f64 N N N)))
(expm1.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) 1))
(exp.f64 (log.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log.f64 (fma.f64 N N N)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 N N N))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 N N N) 3)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 N N N)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 N (sqrt.f64 N))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 N N N))) -1))
(log1p.f64 (expm1.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(fma.f64 N 1 (*.f64 N N))
(fma.f64 (pow.f64 N 4) (/.f64 1 (-.f64 (*.f64 N N) N)) (neg.f64 (/.f64 N (/.f64 (-.f64 (*.f64 N N) N) N))))
(fma.f64 (*.f64 N N) 1 N)
(fma.f64 1 N (*.f64 N N))
(fma.f64 1 (*.f64 N N) N)
(fma.f64 1 (+.f64 (fma.f64 N N N) 1) -1)
(fma.f64 1 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (neg.f64 (/.f64 N (/.f64 (-.f64 (*.f64 N N) N) N))))
(fma.f64 (+.f64 (fma.f64 N N N) 1) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 (fma.f64 N N N) 1)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 N N N) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 N N N) 1)) 2) (cbrt.f64 (+.f64 (fma.f64 N N N) 1)) -1)
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)) N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (*.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) N) N)
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (*.f64 N N))
(fma.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) -1)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (*.f64 N N))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) N) N)
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 N N N) 2) (-.f64 1 (fma.f64 N N N)))) -1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (/.f64 1 (+.f64 (fma.f64 N N N) -1)) -1)
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(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))) (sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))))
(pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1)))) 2))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 (fma.f64 N N N) 1))))
(+.f64 (*.f64 N N) (neg.f64 N))
(+.f64 (*.f64 N N) (*.f64 (neg.f64 N) 1))
(+.f64 (-.f64 (*.f64 N N) N) (fma.f64 (neg.f64 N) 1 N))
(+.f64 (-.f64 (*.f64 N N) N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(+.f64 (-.f64 (*.f64 N N) N) (+.f64 (neg.f64 N) N))
(+.f64 0 (-.f64 (*.f64 N N) N))
(+.f64 (neg.f64 N) (*.f64 N N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 N N) N))) (cbrt.f64 (exp.f64 (-.f64 (*.f64 N N) N))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 N N) N)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 N N) N)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 N N) N)))))
(*.f64 N (-.f64 N 1))
(*.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (/.f64 1 (fma.f64 N N N)))
(*.f64 (-.f64 (*.f64 N N) N) 1)
(*.f64 1 (-.f64 (*.f64 N N) N))
(*.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) 2) (cbrt.f64 (-.f64 (*.f64 N N) N)))
(*.f64 (hypot.f64 N (sqrt.f64 (neg.f64 N))) (hypot.f64 N (sqrt.f64 (neg.f64 N))))
(*.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (fma.f64 N N N) (pow.f64 N 4))))
(*.f64 (+.f64 N (sqrt.f64 N)) (-.f64 N (sqrt.f64 N)))
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (fma.f64 N N N))
(/.f64 1 (/.f64 (fma.f64 N (fma.f64 N N N) (pow.f64 N 4)) (-.f64 (pow.f64 N 6) (pow.f64 N 3))))
(/.f64 1 (/.f64 (fma.f64 N N N) (-.f64 (pow.f64 N 4) (*.f64 N N))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) 2) (/.f64 (fma.f64 N N N) (cbrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) (/.f64 (fma.f64 N N N) (sqrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) (neg.f64 (fma.f64 N N N)))
(/.f64 (-.f64 (pow.f64 N 12) (pow.f64 N 6)) (*.f64 (fma.f64 N N N) (+.f64 (pow.f64 N 8) (+.f64 (pow.f64 N 4) (pow.f64 N 6)))))
(/.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 3)) (fma.f64 N (fma.f64 N N N) (pow.f64 N 4)))
(/.f64 (-.f64 (pow.f64 N 8) (pow.f64 N 4)) (*.f64 (fma.f64 N N N) (fma.f64 N N (pow.f64 N 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 3))) (neg.f64 (fma.f64 N (fma.f64 N N N) (pow.f64 N 4))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (neg.f64 N) 3)) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 (neg.f64 N) (neg.f64 N)) (*.f64 (*.f64 N N) (neg.f64 N)))))
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 (neg.f64 N) (neg.f64 N))) (-.f64 (*.f64 N N) (neg.f64 N)))
(pow.f64 (-.f64 (*.f64 N N) N) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 N N) N) 3) 1/3)
(pow.f64 (hypot.f64 N (sqrt.f64 (neg.f64 N))) 2)
(pow.f64 (/.f64 (fma.f64 N (fma.f64 N N N) (pow.f64 N 4)) (-.f64 (pow.f64 N 6) (pow.f64 N 3))) -1)
(pow.f64 (/.f64 (fma.f64 N N N) (-.f64 (pow.f64 N 4) (*.f64 N N))) -1)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 N N) N) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 N N) N)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 N N) N))))
(log.f64 (*.f64 (pow.f64 (exp.f64 N) N) (/.f64 1 (exp.f64 N))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (exp.f64 (neg.f64 N))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (/.f64 1 (exp.f64 N))))
(log.f64 (*.f64 (exp.f64 (neg.f64 N)) (pow.f64 (exp.f64 N) N)))
(log.f64 (*.f64 (exp.f64 (neg.f64 N)) (+.f64 1 (expm1.f64 (*.f64 N N)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 N)) (pow.f64 (exp.f64 N) N)))
(log.f64 (*.f64 (/.f64 1 (exp.f64 N)) (+.f64 1 (expm1.f64 (*.f64 N N)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 N) N) (+.f64 1 (expm1.f64 N))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (exp.f64 N)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (+.f64 1 (expm1.f64 N))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 N N) N) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 N N) N)))
(exp.f64 (log.f64 (-.f64 (*.f64 N N) N)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 N N) N)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (*.f64 N N) N)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 N N) N))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (*.f64 N N) N))) 1/3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 N (sqrt.f64 (neg.f64 N)))) 2))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 N N) N)))
(fma.f64 N N (neg.f64 N))
(fma.f64 N N (*.f64 (neg.f64 N) 1))
(fma.f64 N (-.f64 N 1) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 N (-.f64 N 1) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 N (-.f64 N 1) (+.f64 (neg.f64 N) N))
(fma.f64 (*.f64 N N) 1 (neg.f64 N))
(fma.f64 (*.f64 N N) 1 (*.f64 (neg.f64 N) 1))
(fma.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (/.f64 1 (fma.f64 N N N)) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (/.f64 1 (fma.f64 N N N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (/.f64 1 (fma.f64 N N N)) (+.f64 (neg.f64 N) N))
(fma.f64 (-.f64 (*.f64 N N) N) 1 (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (-.f64 (*.f64 N N) N) 1 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 (-.f64 (*.f64 N N) N) 1 (+.f64 (neg.f64 N) N))
(fma.f64 1 (*.f64 N N) (neg.f64 N))
(fma.f64 1 (*.f64 N N) (*.f64 (neg.f64 N) 1))
(fma.f64 1 (-.f64 (*.f64 N N) N) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 1 (-.f64 (*.f64 N N) N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 1 (-.f64 (*.f64 N N) N) (+.f64 (neg.f64 N) N))
(fma.f64 1 (neg.f64 N) (*.f64 N N))
(fma.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) 2) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) 2) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) 2) (+.f64 (neg.f64 N) N))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) 2) (cbrt.f64 (-.f64 (*.f64 N N) N)) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) 2) (cbrt.f64 (-.f64 (*.f64 N N) N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) 2) (cbrt.f64 (-.f64 (*.f64 N N) N)) (+.f64 (neg.f64 N) N))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (neg.f64 N))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (*.f64 (neg.f64 N) 1))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)) (neg.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)) (*.f64 (neg.f64 N) 1))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (neg.f64 (cbrt.f64 N)) (*.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) N) (neg.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) N) (*.f64 (neg.f64 N) 1))
(fma.f64 (hypot.f64 N (sqrt.f64 (neg.f64 N))) (hypot.f64 N (sqrt.f64 (neg.f64 N))) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (hypot.f64 N (sqrt.f64 (neg.f64 N))) (hypot.f64 N (sqrt.f64 (neg.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 (hypot.f64 N (sqrt.f64 (neg.f64 N))) (hypot.f64 N (sqrt.f64 (neg.f64 N))) (+.f64 (neg.f64 N) N))
(fma.f64 (sqrt.f64 N) (neg.f64 (sqrt.f64 N)) (*.f64 N N))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) N) (neg.f64 N))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) N) (*.f64 (neg.f64 N) 1))
(fma.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (fma.f64 N N N) (pow.f64 N 4))) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (fma.f64 N N N) (pow.f64 N 4))) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (fma.f64 N N N) (pow.f64 N 4))) (+.f64 (neg.f64 N) N))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 N)) (cbrt.f64 (neg.f64 N))) (cbrt.f64 (neg.f64 N)) (*.f64 N N))
(fma.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N) (neg.f64 N))
(fma.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N) (*.f64 (neg.f64 N) 1))
(fma.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (neg.f64 N)) (*.f64 N N))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N 8))) (sqrt.f64 (cbrt.f64 (pow.f64 N 4))) (neg.f64 N))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N 8))) (sqrt.f64 (cbrt.f64 (pow.f64 N 4))) (*.f64 (neg.f64 N) 1))
(fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) (*.f64 N N))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (*.f64 N N))
(fma.f64 -1 N (*.f64 N N))
(fma.f64 (+.f64 N (sqrt.f64 N)) (-.f64 N (sqrt.f64 N)) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (+.f64 N (sqrt.f64 N)) (-.f64 N (sqrt.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 (+.f64 N (sqrt.f64 N)) (-.f64 N (sqrt.f64 N)) (+.f64 (neg.f64 N) N))
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (neg.f64 N))
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (*.f64 (neg.f64 N) 1))

simplify145.0ms (2%)

Algorithm
1×egg-herbie
Rules
790×log-prod
666×times-frac
556×exp-prod
544×associate-*r*
460×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067911703
1155110249
2615810249
Stop Event
1×node limit
Counts
399 → 435
Calls
Call 1
Inputs
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(*.f64 -1 (pow.f64 N 2))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(pow.f64 N 4)
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(pow.f64 N 4)
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(atan2.f64 1 (-.f64 (+.f64 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) N)) 1) (/.f64 (pow.f64 N 2) (-.f64 (pow.f64 N 2) N))))
(atan2.f64 1 (-.f64 (+.f64 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) N)) 1) (/.f64 (pow.f64 N 2) (-.f64 (pow.f64 N 2) N))))
(atan2.f64 1 (-.f64 (+.f64 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) N)) 1) (/.f64 (pow.f64 N 2) (-.f64 (pow.f64 N 2) N))))
(atan2.f64 1 (-.f64 (+.f64 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) N)) 1) (/.f64 (pow.f64 N 2) (-.f64 (pow.f64 N 2) N))))
(atan2.f64 1 (-.f64 (+.f64 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) N)) 1) (/.f64 (pow.f64 N 2) (-.f64 (pow.f64 N 2) N))))
(atan2.f64 1 (-.f64 (+.f64 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) N)) 1) (/.f64 (pow.f64 N 2) (-.f64 (pow.f64 N 2) N))))
(atan2.f64 1 (-.f64 (+.f64 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) N)) 1) (/.f64 (pow.f64 N 2) (-.f64 (pow.f64 N 2) N))))
(atan2.f64 1 (-.f64 (+.f64 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) N)) 1) (/.f64 (pow.f64 N 2) (-.f64 (pow.f64 N 2) N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 4) (+.f64 (pow.f64 N 2) (*.f64 -1 N)))) (/.f64 (pow.f64 N 2) (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 4) (+.f64 (pow.f64 N 2) (*.f64 -1 N)))) (/.f64 (pow.f64 N 2) (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 4) (+.f64 (pow.f64 N 2) (*.f64 -1 N)))) (/.f64 (pow.f64 N 2) (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 4) (+.f64 (pow.f64 N 2) (*.f64 -1 N)))) (/.f64 (pow.f64 N 2) (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))
(*.f64 -1 N)
(+.f64 (pow.f64 N 2) (*.f64 -1 N))
(+.f64 (pow.f64 N 2) (*.f64 -1 N))
(+.f64 (pow.f64 N 2) (*.f64 -1 N))
(pow.f64 N 2)
(+.f64 (pow.f64 N 2) (*.f64 -1 N))
(+.f64 (pow.f64 N 2) (*.f64 -1 N))
(+.f64 (pow.f64 N 2) (*.f64 -1 N))
(pow.f64 N 2)
(+.f64 (pow.f64 N 2) (*.f64 -1 N))
(+.f64 (pow.f64 N 2) (*.f64 -1 N))
(+.f64 (pow.f64 N 2) (*.f64 -1 N))
(+.f64 N (*.f64 N N))
(+.f64 (*.f64 N N) N)
(+.f64 0 (fma.f64 N N N))
(+.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (neg.f64 (/.f64 N (/.f64 (-.f64 (*.f64 N N) N) N))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 N N N))) (cbrt.f64 (exp.f64 (fma.f64 N N N))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 N N N)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N N N)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N N N)))))
(-.f64 (+.f64 (fma.f64 N N N) 1) 1)
(-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (/.f64 N (/.f64 (-.f64 (*.f64 N N) N) N)))
(*.f64 N (+.f64 N 1))
(*.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (/.f64 1 (-.f64 (*.f64 N N) N)))
(*.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (*.f64 (/.f64 1 (-.f64 (*.f64 N N) N)) 1))
(*.f64 (fma.f64 N N N) 1)
(*.f64 1 (fma.f64 N N N))
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(fma.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (fma.f64 N N N) (pow.f64 N 4))) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (fma.f64 N N N) (pow.f64 N 4))) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (fma.f64 N N N) (pow.f64 N 4))) (+.f64 (neg.f64 N) N))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 N)) (cbrt.f64 (neg.f64 N))) (cbrt.f64 (neg.f64 N)) (*.f64 N N))
(fma.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N) (neg.f64 N))
(fma.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N) (*.f64 (neg.f64 N) 1))
(fma.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (neg.f64 N)) (*.f64 N N))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N 8))) (sqrt.f64 (cbrt.f64 (pow.f64 N 4))) (neg.f64 N))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N 8))) (sqrt.f64 (cbrt.f64 (pow.f64 N 4))) (*.f64 (neg.f64 N) 1))
(fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) (*.f64 N N))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (*.f64 N N))
(fma.f64 -1 N (*.f64 N N))
(fma.f64 (+.f64 N (sqrt.f64 N)) (-.f64 N (sqrt.f64 N)) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (+.f64 N (sqrt.f64 N)) (-.f64 N (sqrt.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 (+.f64 N (sqrt.f64 N)) (-.f64 N (sqrt.f64 N)) (+.f64 (neg.f64 N) N))
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (neg.f64 N))
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (*.f64 (neg.f64 N) 1))
Outputs
N
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(*.f64 -1 (pow.f64 N 2))
(*.f64 N (neg.f64 N))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(pow.f64 N 4)
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(pow.f64 N 4)
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 4))
(-.f64 (pow.f64 N 4) (*.f64 N N))
(atan2.f64 1 (-.f64 (+.f64 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) N)) 1) (/.f64 (pow.f64 N 2) (-.f64 (pow.f64 N 2) N))))
(atan2.f64 1 (+.f64 1 (-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (/.f64 (*.f64 N N) (-.f64 (*.f64 N N) N)))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))))
(atan2.f64 1 (-.f64 (+.f64 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) N)) 1) (/.f64 (pow.f64 N 2) (-.f64 (pow.f64 N 2) N))))
(atan2.f64 1 (+.f64 1 (-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (/.f64 (*.f64 N N) (-.f64 (*.f64 N N) N)))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))))
(atan2.f64 1 (-.f64 (+.f64 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) N)) 1) (/.f64 (pow.f64 N 2) (-.f64 (pow.f64 N 2) N))))
(atan2.f64 1 (+.f64 1 (-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (/.f64 (*.f64 N N) (-.f64 (*.f64 N N) N)))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))))
(atan2.f64 1 (-.f64 (+.f64 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) N)) 1) (/.f64 (pow.f64 N 2) (-.f64 (pow.f64 N 2) N))))
(atan2.f64 1 (+.f64 1 (-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (/.f64 (*.f64 N N) (-.f64 (*.f64 N N) N)))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))))
(atan2.f64 1 (-.f64 (+.f64 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) N)) 1) (/.f64 (pow.f64 N 2) (-.f64 (pow.f64 N 2) N))))
(atan2.f64 1 (+.f64 1 (-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (/.f64 (*.f64 N N) (-.f64 (*.f64 N N) N)))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))))
(atan2.f64 1 (-.f64 (+.f64 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) N)) 1) (/.f64 (pow.f64 N 2) (-.f64 (pow.f64 N 2) N))))
(atan2.f64 1 (+.f64 1 (-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (/.f64 (*.f64 N N) (-.f64 (*.f64 N N) N)))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))))
(atan2.f64 1 (-.f64 (+.f64 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) N)) 1) (/.f64 (pow.f64 N 2) (-.f64 (pow.f64 N 2) N))))
(atan2.f64 1 (+.f64 1 (-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (/.f64 (*.f64 N N) (-.f64 (*.f64 N N) N)))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))))
(atan2.f64 1 (-.f64 (+.f64 (/.f64 (pow.f64 N 4) (-.f64 (pow.f64 N 2) N)) 1) (/.f64 (pow.f64 N 2) (-.f64 (pow.f64 N 2) N))))
(atan2.f64 1 (+.f64 1 (-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (/.f64 (*.f64 N N) (-.f64 (*.f64 N N) N)))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 4) (+.f64 (pow.f64 N 2) (*.f64 -1 N)))) (/.f64 (pow.f64 N 2) (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (/.f64 (*.f64 N N) (-.f64 (*.f64 N N) N)))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 4) (+.f64 (pow.f64 N 2) (*.f64 -1 N)))) (/.f64 (pow.f64 N 2) (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (/.f64 (*.f64 N N) (-.f64 (*.f64 N N) N)))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 4) (+.f64 (pow.f64 N 2) (*.f64 -1 N)))) (/.f64 (pow.f64 N 2) (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (/.f64 (*.f64 N N) (-.f64 (*.f64 N N) N)))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 (pow.f64 N 4) (+.f64 (pow.f64 N 2) (*.f64 -1 N)))) (/.f64 (pow.f64 N 2) (+.f64 (pow.f64 N 2) (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (/.f64 (*.f64 N N) (-.f64 (*.f64 N N) N)))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))))
(*.f64 -1 N)
(neg.f64 N)
(+.f64 (pow.f64 N 2) (*.f64 -1 N))
(-.f64 (*.f64 N N) N)
(+.f64 (pow.f64 N 2) (*.f64 -1 N))
(-.f64 (*.f64 N N) N)
(+.f64 (pow.f64 N 2) (*.f64 -1 N))
(-.f64 (*.f64 N N) N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 (pow.f64 N 2) (*.f64 -1 N))
(-.f64 (*.f64 N N) N)
(+.f64 (pow.f64 N 2) (*.f64 -1 N))
(-.f64 (*.f64 N N) N)
(+.f64 (pow.f64 N 2) (*.f64 -1 N))
(-.f64 (*.f64 N N) N)
(pow.f64 N 2)
(*.f64 N N)
(+.f64 (pow.f64 N 2) (*.f64 -1 N))
(-.f64 (*.f64 N N) N)
(+.f64 (pow.f64 N 2) (*.f64 -1 N))
(-.f64 (*.f64 N N) N)
(+.f64 (pow.f64 N 2) (*.f64 -1 N))
(-.f64 (*.f64 N N) N)
(+.f64 N (*.f64 N N))
(fma.f64 N N N)
(+.f64 (*.f64 N N) N)
(fma.f64 N N N)
(+.f64 0 (fma.f64 N N N))
(fma.f64 N N N)
(+.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (neg.f64 (/.f64 N (/.f64 (-.f64 (*.f64 N N) N) N))))
(-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (*.f64 (/.f64 N (-.f64 (*.f64 N N) N)) N))
(*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 N N N))) (cbrt.f64 (exp.f64 (fma.f64 N N N))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 N N N)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 N N N))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 N N N)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N N N)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N N N)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N N N)))))
(-.f64 (+.f64 (fma.f64 N N N) 1) 1)
(fma.f64 N N N)
(-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (/.f64 N (/.f64 (-.f64 (*.f64 N N) N) N)))
(-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (*.f64 (/.f64 N (-.f64 (*.f64 N N) N)) N))
(*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))
(*.f64 N (+.f64 N 1))
(fma.f64 N N N)
(*.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (/.f64 1 (-.f64 (*.f64 N N) N)))
(-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (*.f64 (/.f64 N (-.f64 (*.f64 N N) N)) N))
(*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))
(*.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (*.f64 (/.f64 1 (-.f64 (*.f64 N N) N)) 1))
(-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (*.f64 (/.f64 N (-.f64 (*.f64 N N) N)) N))
(*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))
(*.f64 (fma.f64 N N N) 1)
(fma.f64 N N N)
(*.f64 1 (fma.f64 N N N))
(fma.f64 N N N)
(*.f64 (cbrt.f64 (fma.f64 N N N)) (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2))
(fma.f64 N N N)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (cbrt.f64 (fma.f64 N N N)))
(fma.f64 N N N)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) 2) (*.f64 (cbrt.f64 (fma.f64 N N N)) 1))
(fma.f64 N N N)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) (/.f64 1 (-.f64 (*.f64 N N) N))))
(-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (*.f64 (/.f64 N (-.f64 (*.f64 N N) N)) N))
(*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))
(*.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)))
(fma.f64 N N N)
(*.f64 (hypot.f64 N (sqrt.f64 N)) (*.f64 (hypot.f64 N (sqrt.f64 N)) 1))
(fma.f64 N N N)
(*.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) (/.f64 1 (-.f64 (*.f64 N N) N))))
(-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (*.f64 (/.f64 N (-.f64 (*.f64 N N) N)) N))
(*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))
(*.f64 (neg.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) (/.f64 1 (neg.f64 (-.f64 (*.f64 N N) N))))
(-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (*.f64 (/.f64 N (-.f64 (*.f64 N N) N)) N))
(*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))
(*.f64 (/.f64 1 (-.f64 (*.f64 N N) N)) (-.f64 (pow.f64 N 4) (*.f64 N N)))
(-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (*.f64 (/.f64 N (-.f64 (*.f64 N N) N)) N))
(*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) 2)) (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (cbrt.f64 (-.f64 (*.f64 N N) N))))
(-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (*.f64 (/.f64 N (-.f64 (*.f64 N N) N)) N))
(*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))
(*.f64 (/.f64 1 (hypot.f64 N (sqrt.f64 (neg.f64 N)))) (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (hypot.f64 N (sqrt.f64 (neg.f64 N)))))
(-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (*.f64 (/.f64 N (-.f64 (*.f64 N N) N)) N))
(*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) (-.f64 (*.f64 N N) N)))
(-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (*.f64 (/.f64 N (-.f64 (*.f64 N N) N)) N))
(*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) 2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) 2)) (cbrt.f64 (fma.f64 N N N)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) 2) (cbrt.f64 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) 2))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 N N N)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) 2)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) 2) (hypot.f64 N (sqrt.f64 (neg.f64 N)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) (hypot.f64 N (sqrt.f64 (neg.f64 N)))))
(-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (*.f64 (/.f64 N (-.f64 (*.f64 N N) N)) N))
(*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) (-.f64 (*.f64 N N) N)))
(-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (*.f64 (/.f64 N (-.f64 (*.f64 N N) N)) N))
(*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 N 4) (*.f64 N N))) (cbrt.f64 (-.f64 (*.f64 N N) N))))
(-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (*.f64 (/.f64 N (-.f64 (*.f64 N N) N)) N))
(*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))
(*.f64 (+.f64 N 1) N)
(fma.f64 N N N)
(*.f64 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (-.f64 (pow.f64 N 4) (*.f64 N N))) (fma.f64 N N N))
(fma.f64 N N N)
(*.f64 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (-.f64 (pow.f64 N 6) (pow.f64 N 3))) (fma.f64 N (fma.f64 N N N) (pow.f64 N 4)))
(pow.f64 (fma.f64 N N N) 1)
(fma.f64 N N N)
(pow.f64 (cbrt.f64 (fma.f64 N N N)) 3)
(fma.f64 N N N)
(pow.f64 (pow.f64 (fma.f64 N N N) 3) 1/3)
(fma.f64 N N N)
(pow.f64 (hypot.f64 N (sqrt.f64 N)) 2)
(fma.f64 N N N)
(pow.f64 (/.f64 1 (fma.f64 N N N)) -1)
(fma.f64 N N N)
(pow.f64 (/.f64 (/.f64 1 (fma.f64 N N N)) 1) -1)
(fma.f64 N N N)
(neg.f64 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (neg.f64 (-.f64 (*.f64 N N) N))))
(-.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) (*.f64 (/.f64 N (-.f64 (*.f64 N N) N)) N))
(*.f64 (/.f64 N (+.f64 (/.f64 N 1) -1)) (fma.f64 N N -1))
(sqrt.f64 (pow.f64 (fma.f64 N N N) 2))
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(log.f64 (exp.f64 (-.f64 (*.f64 N N) N)))
(-.f64 (*.f64 N N) N)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 N N) N))))
(-.f64 (*.f64 N N) N)
(log.f64 (*.f64 (pow.f64 (exp.f64 N) N) (/.f64 1 (exp.f64 N))))
(-.f64 (*.f64 N N) N)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (exp.f64 (neg.f64 N))))
(-.f64 (*.f64 N N) N)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (/.f64 1 (exp.f64 N))))
(-.f64 (*.f64 N N) N)
(log.f64 (*.f64 (exp.f64 (neg.f64 N)) (pow.f64 (exp.f64 N) N)))
(-.f64 (*.f64 N N) N)
(log.f64 (*.f64 (exp.f64 (neg.f64 N)) (+.f64 1 (expm1.f64 (*.f64 N N)))))
(-.f64 (*.f64 N N) N)
(log.f64 (*.f64 (/.f64 1 (exp.f64 N)) (pow.f64 (exp.f64 N) N)))
(-.f64 (*.f64 N N) N)
(log.f64 (*.f64 (/.f64 1 (exp.f64 N)) (+.f64 1 (expm1.f64 (*.f64 N N)))))
(-.f64 (*.f64 N N) N)
(log.f64 (/.f64 (pow.f64 (exp.f64 N) N) (+.f64 1 (expm1.f64 N))))
(-.f64 (*.f64 N N) N)
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (exp.f64 N)))
(-.f64 (*.f64 N N) N)
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 N N))) (+.f64 1 (expm1.f64 N))))
(-.f64 (*.f64 N N) N)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 N N) N) 3))
(-.f64 (*.f64 N N) N)
(expm1.f64 (log1p.f64 (-.f64 (*.f64 N N) N)))
(-.f64 (*.f64 N N) N)
(exp.f64 (log.f64 (-.f64 (*.f64 N N) N)))
(-.f64 (*.f64 N N) N)
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 N N) N)) 1))
(-.f64 (*.f64 N N) N)
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (*.f64 N N) N)) 1) 1))
(-.f64 (*.f64 N N) N)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 N N) N))) 3))
(-.f64 (*.f64 N N) N)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (*.f64 N N) N))) 1/3))
(-.f64 (*.f64 N N) N)
(exp.f64 (*.f64 (log.f64 (hypot.f64 N (sqrt.f64 (neg.f64 N)))) 2))
(-.f64 (*.f64 N N) N)
(log1p.f64 (expm1.f64 (-.f64 (*.f64 N N) N)))
(-.f64 (*.f64 N N) N)
(fma.f64 N N (neg.f64 N))
(-.f64 (*.f64 N N) N)
(fma.f64 N N (*.f64 (neg.f64 N) 1))
(-.f64 (*.f64 N N) N)
(fma.f64 N (-.f64 N 1) (fma.f64 (neg.f64 N) 1 N))
(+.f64 (-.f64 (*.f64 N N) N) (+.f64 N (neg.f64 N)))
(fma.f64 N (+.f64 N -1) (-.f64 N N))
(fma.f64 N (-.f64 N 1) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(+.f64 (-.f64 (*.f64 N N) N) (+.f64 N (neg.f64 N)))
(fma.f64 N (+.f64 N -1) (-.f64 N N))
(fma.f64 N (-.f64 N 1) (+.f64 (neg.f64 N) N))
(+.f64 (-.f64 (*.f64 N N) N) (+.f64 N (neg.f64 N)))
(fma.f64 N (+.f64 N -1) (-.f64 N N))
(fma.f64 (*.f64 N N) 1 (neg.f64 N))
(-.f64 (*.f64 N N) N)
(fma.f64 (*.f64 N N) 1 (*.f64 (neg.f64 N) 1))
(-.f64 (*.f64 N N) N)
(fma.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (/.f64 1 (fma.f64 N N N)) (fma.f64 (neg.f64 N) 1 N))
(+.f64 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (fma.f64 N N N)) (+.f64 N (neg.f64 N)))
(+.f64 (-.f64 N N) (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (fma.f64 N N N)))
(fma.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (/.f64 1 (fma.f64 N N N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(+.f64 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (fma.f64 N N N)) (+.f64 N (neg.f64 N)))
(+.f64 (-.f64 N N) (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (fma.f64 N N N)))
(fma.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (/.f64 1 (fma.f64 N N N)) (+.f64 (neg.f64 N) N))
(+.f64 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (fma.f64 N N N)) (+.f64 N (neg.f64 N)))
(+.f64 (-.f64 N N) (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (fma.f64 N N N)))
(fma.f64 (-.f64 (*.f64 N N) N) 1 (fma.f64 (neg.f64 N) 1 N))
(+.f64 (-.f64 (*.f64 N N) N) (+.f64 N (neg.f64 N)))
(fma.f64 N (+.f64 N -1) (-.f64 N N))
(fma.f64 (-.f64 (*.f64 N N) N) 1 (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(+.f64 (-.f64 (*.f64 N N) N) (+.f64 N (neg.f64 N)))
(fma.f64 N (+.f64 N -1) (-.f64 N N))
(fma.f64 (-.f64 (*.f64 N N) N) 1 (+.f64 (neg.f64 N) N))
(+.f64 (-.f64 (*.f64 N N) N) (+.f64 N (neg.f64 N)))
(fma.f64 N (+.f64 N -1) (-.f64 N N))
(fma.f64 1 (*.f64 N N) (neg.f64 N))
(-.f64 (*.f64 N N) N)
(fma.f64 1 (*.f64 N N) (*.f64 (neg.f64 N) 1))
(-.f64 (*.f64 N N) N)
(fma.f64 1 (-.f64 (*.f64 N N) N) (fma.f64 (neg.f64 N) 1 N))
(+.f64 (-.f64 (*.f64 N N) N) (+.f64 N (neg.f64 N)))
(fma.f64 N (+.f64 N -1) (-.f64 N N))
(fma.f64 1 (-.f64 (*.f64 N N) N) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(+.f64 (-.f64 (*.f64 N N) N) (+.f64 N (neg.f64 N)))
(fma.f64 N (+.f64 N -1) (-.f64 N N))
(fma.f64 1 (-.f64 (*.f64 N N) N) (+.f64 (neg.f64 N) N))
(+.f64 (-.f64 (*.f64 N N) N) (+.f64 N (neg.f64 N)))
(fma.f64 N (+.f64 N -1) (-.f64 N N))
(fma.f64 1 (neg.f64 N) (*.f64 N N))
(-.f64 (*.f64 N N) N)
(fma.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) 2) (fma.f64 (neg.f64 N) 1 N))
(+.f64 (-.f64 (*.f64 N N) N) (+.f64 N (neg.f64 N)))
(fma.f64 N (+.f64 N -1) (-.f64 N N))
(fma.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) 2) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(+.f64 (-.f64 (*.f64 N N) N) (+.f64 N (neg.f64 N)))
(fma.f64 N (+.f64 N -1) (-.f64 N N))
(fma.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) 2) (+.f64 (neg.f64 N) N))
(+.f64 (-.f64 (*.f64 N N) N) (+.f64 N (neg.f64 N)))
(fma.f64 N (+.f64 N -1) (-.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) 2) (cbrt.f64 (-.f64 (*.f64 N N) N)) (fma.f64 (neg.f64 N) 1 N))
(+.f64 (-.f64 (*.f64 N N) N) (+.f64 N (neg.f64 N)))
(fma.f64 N (+.f64 N -1) (-.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) 2) (cbrt.f64 (-.f64 (*.f64 N N) N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(+.f64 (-.f64 (*.f64 N N) N) (+.f64 N (neg.f64 N)))
(fma.f64 N (+.f64 N -1) (-.f64 N N))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 N N) N)) 2) (cbrt.f64 (-.f64 (*.f64 N N) N)) (+.f64 (neg.f64 N) N))
(+.f64 (-.f64 (*.f64 N N) N) (+.f64 N (neg.f64 N)))
(fma.f64 N (+.f64 N -1) (-.f64 N N))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (neg.f64 N))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2)) N)
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (*.f64 (neg.f64 N) 1))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (neg.f64 N))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2)) N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)) (neg.f64 N))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (neg.f64 N))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2)) N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)) (*.f64 (neg.f64 N) 1))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (neg.f64 N))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2)) N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (neg.f64 (cbrt.f64 N)) (*.f64 N N))
(-.f64 (*.f64 N N) N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) N) (neg.f64 N))
(-.f64 (*.f64 N N) N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) N) (*.f64 (neg.f64 N) 1))
(-.f64 (*.f64 N N) N)
(fma.f64 (hypot.f64 N (sqrt.f64 (neg.f64 N))) (hypot.f64 N (sqrt.f64 (neg.f64 N))) (fma.f64 (neg.f64 N) 1 N))
(+.f64 (-.f64 (*.f64 N N) N) (+.f64 N (neg.f64 N)))
(fma.f64 N (+.f64 N -1) (-.f64 N N))
(fma.f64 (hypot.f64 N (sqrt.f64 (neg.f64 N))) (hypot.f64 N (sqrt.f64 (neg.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(+.f64 (-.f64 (*.f64 N N) N) (+.f64 N (neg.f64 N)))
(fma.f64 N (+.f64 N -1) (-.f64 N N))
(fma.f64 (hypot.f64 N (sqrt.f64 (neg.f64 N))) (hypot.f64 N (sqrt.f64 (neg.f64 N))) (+.f64 (neg.f64 N) N))
(+.f64 (-.f64 (*.f64 N N) N) (+.f64 N (neg.f64 N)))
(fma.f64 N (+.f64 N -1) (-.f64 N N))
(fma.f64 (sqrt.f64 N) (neg.f64 (sqrt.f64 N)) (*.f64 N N))
(-.f64 (*.f64 N N) N)
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) N) (neg.f64 N))
(-.f64 (*.f64 N N) N)
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) N) (*.f64 (neg.f64 N) 1))
(-.f64 (*.f64 N N) N)
(fma.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (fma.f64 N N N) (pow.f64 N 4))) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (fma.f64 N N N) (pow.f64 N 4))) (+.f64 N (neg.f64 N)))
(+.f64 (-.f64 N N) (/.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 3)) (fma.f64 N (fma.f64 N N N) (pow.f64 N 4))))
(fma.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (fma.f64 N N N) (pow.f64 N 4))) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (fma.f64 N N N) (pow.f64 N 4))) (+.f64 N (neg.f64 N)))
(+.f64 (-.f64 N N) (/.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 3)) (fma.f64 N (fma.f64 N N N) (pow.f64 N 4))))
(fma.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (fma.f64 N N N) (pow.f64 N 4))) (+.f64 (neg.f64 N) N))
(fma.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 3)) (/.f64 1 (fma.f64 N (fma.f64 N N N) (pow.f64 N 4))) (+.f64 N (neg.f64 N)))
(+.f64 (-.f64 N N) (/.f64 (-.f64 (pow.f64 N 6) (pow.f64 N 3)) (fma.f64 N (fma.f64 N N N) (pow.f64 N 4))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 N)) (cbrt.f64 (neg.f64 N))) (cbrt.f64 (neg.f64 N)) (*.f64 N N))
(-.f64 (*.f64 N N) N)
(fma.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N) (neg.f64 N))
(-.f64 (*.f64 N N) N)
(fma.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N) (*.f64 (neg.f64 N) 1))
(-.f64 (*.f64 N N) N)
(fma.f64 (sqrt.f64 (neg.f64 N)) (sqrt.f64 (neg.f64 N)) (*.f64 N N))
(-.f64 (*.f64 N N) N)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N 8))) (sqrt.f64 (cbrt.f64 (pow.f64 N 4))) (neg.f64 N))
(-.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N 4))) (sqrt.f64 (cbrt.f64 (pow.f64 N 8)))) N)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N 8))) (sqrt.f64 (cbrt.f64 (pow.f64 N 4))) (*.f64 (neg.f64 N) 1))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N 8))) (sqrt.f64 (cbrt.f64 (pow.f64 N 4))) (neg.f64 N))
(-.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N 4))) (sqrt.f64 (cbrt.f64 (pow.f64 N 8)))) N)
(fma.f64 (neg.f64 (sqrt.f64 N)) (sqrt.f64 N) (*.f64 N N))
(-.f64 (*.f64 N N) N)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (*.f64 N N))
(-.f64 (*.f64 N N) N)
(fma.f64 -1 N (*.f64 N N))
(-.f64 (*.f64 N N) N)
(fma.f64 (+.f64 N (sqrt.f64 N)) (-.f64 N (sqrt.f64 N)) (fma.f64 (neg.f64 N) 1 N))
(fma.f64 (+.f64 N (sqrt.f64 N)) (-.f64 N (sqrt.f64 N)) (+.f64 N (neg.f64 N)))
(fma.f64 (+.f64 N (sqrt.f64 N)) (-.f64 N (sqrt.f64 N)) (-.f64 N N))
(fma.f64 (+.f64 N (sqrt.f64 N)) (-.f64 N (sqrt.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2) N))
(fma.f64 (+.f64 N (sqrt.f64 N)) (-.f64 N (sqrt.f64 N)) (+.f64 N (neg.f64 N)))
(fma.f64 (+.f64 N (sqrt.f64 N)) (-.f64 N (sqrt.f64 N)) (-.f64 N N))
(fma.f64 (+.f64 N (sqrt.f64 N)) (-.f64 N (sqrt.f64 N)) (+.f64 (neg.f64 N) N))
(fma.f64 (+.f64 N (sqrt.f64 N)) (-.f64 N (sqrt.f64 N)) (+.f64 N (neg.f64 N)))
(fma.f64 (+.f64 N (sqrt.f64 N)) (-.f64 N (sqrt.f64 N)) (-.f64 N N))
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (neg.f64 N))
(-.f64 (*.f64 N N) N)
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) (*.f64 (neg.f64 N) 1))
(-.f64 (*.f64 N N) N)

localize65.0ms (0.9%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(fma.f64 N (+.f64 1 N) 1)
99.3%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
✓97.9%
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
✓74.0%
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
Compiler

Compiled 40 to 30 computations (25% saved)

series63.0ms (0.8%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
26.0ms
N
@0
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
21.0ms
N
@inf
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
16.0ms
N
@-inf
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
0.0ms
N
@0
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
0.0ms
N
@-inf
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))

rewrite83.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1878×pow1
1720×add-exp-log
1720×log1p-expm1-u
1720×expm1-log1p-u
1682×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01146
120246
2236146
Stop Event
1×node limit
Counts
2 → 38
Calls
Call 1
Inputs
(log.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))))
Outputs
(+.f64 0 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(+.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)) (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(-.f64 (+.f64 1 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(*.f64 1 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(*.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3)
(pow.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
(cbrt.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3))
(expm1.f64 (log1p.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (log.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log1p.f64 (-.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1))
(+.f64 1 (-.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 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))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
(*.f64 (pow.f64 (cbrt.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 (E.f64) (log.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)
(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)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(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))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))

simplify69.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1038×log-prod
884×associate-*r*
802×associate-*l*
634×associate-+l+
610×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0861532
11631532
26011532
341381532
Stop Event
1×node limit
Counts
62 → 48
Calls
Call 1
Inputs
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(log.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(log.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(log.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 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(+.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)) (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(-.f64 (+.f64 1 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(*.f64 1 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(*.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3)
(pow.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
(cbrt.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3))
(expm1.f64 (log1p.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (log.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log1p.f64 (-.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1))
(+.f64 1 (-.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 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))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
(*.f64 (pow.f64 (cbrt.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 (E.f64) (log.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)
(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)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(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))))
(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
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log.f64 (atan2.f64 1 (fma.f64 N (-.f64 1 (*.f64 -1 N)) 1)))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.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)))
(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 (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 (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)))
(+.f64 0 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(+.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)) (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(-.f64 (+.f64 1 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 1 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(*.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3)
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3) 1/3)
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(pow.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(sqrt.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(cbrt.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(expm1.f64 (log1p.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(exp.f64 (log.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(log1p.f64 (-.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))
(+.f64 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)))
(-.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)))
(*.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)))
(*.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)))
(*.f64 (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))) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.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)))
(*.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)))
(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)))
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
(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)))
(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)))
(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)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))) (sqrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))))))
(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)))
(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)))
(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)))
(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 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(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)))

eval542.0ms (7.3%)

Compiler

Compiled 16490 to 9524 computations (42.2% saved)

prune340.0ms (4.6%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New8684872
Fresh246
Picked101
Done156
Total87213885
Accurracy
99.4%
Counts
885 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(atan2.f64 1 (fma.f64 (cbrt.f64 (*.f64 N N)) (*.f64 (+.f64 1 N) (cbrt.f64 N)) 1))
✓99.3%
(atan2.f64 1 (-.f64 (+.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1)) 1))
63.0%
(atan2.f64 1 (+.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) 1))
94.7%
(atan2.f64 1 (+.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) 1))
94.7%
(atan2.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N)) 1))
✓99.3%
(atan2.f64 1 (+.f64 (*.f64 (+.f64 1 N) N) 1))
58.0%
(atan2.f64 1 (+.f64 N (*.f64 N N)))
✓53.3%
(atan2.f64 1 (+.f64 N 1))
✓57.9%
(atan2.f64 1 (*.f64 N N))
✓52.4%
(atan2.f64 1 1)
92.9%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)))
56.0%
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
43.5%
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
Compiler

Compiled 404 to 293 computations (27.5% saved)

regimes67.0ms (0.9%)

Counts
24 → 1
Calls
Call 1
Inputs
(atan2.f64 1 1)
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (+.f64 N (*.f64 N N)))
(atan2.f64 1 (+.f64 (*.f64 (+.f64 1 N) N) 1))
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
(atan2.f64 1 (-.f64 (+.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1)) 1))
(atan2.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N)) 1))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (-.f64 (+.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1))
(atan2.f64 1 (+.f64 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N)) 1))
(atan2.f64 1 (+.f64 (/.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) N)) 1))
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 N 4) N) N) (+.f64 N -1)) 1))
(atan2.f64 1 (+.f64 (/.f64 (-.f64 (pow.f64 N 4) (*.f64 N N)) (-.f64 (*.f64 N N) N)) 1))
(exp.f64 (log.f64 (atan2.f64 1 (*.f64 N N))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (*.f64 N N)) 3))
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(exp.f64 (log.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))
(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)
(atan2.f64 1 (fma.f64 (cbrt.f64 (*.f64 N N)) (*.f64 (+.f64 1 N) (cbrt.f64 N)) 1))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)))
Outputs
(atan2.f64 1 (-.f64 (+.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1))
Calls

2 calls:

57.0ms
N
3.0ms
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Results
AccuracySegmentsBranch
99.3%1N
99.3%1(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 266 to 186 computations (30.1% saved)

regimes10.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
(atan2.f64 1 1)
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (+.f64 N (*.f64 N N)))
(atan2.f64 1 (+.f64 (*.f64 (+.f64 1 N) N) 1))
(atan2.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1))
(atan2.f64 1 (-.f64 (+.f64 1 (+.f64 (+.f64 N (*.f64 N N)) 1)) 1))
(atan2.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 N N)) N) (-.f64 1 N)) 1))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
Outputs
(atan2.f64 1 (+.f64 (*.f64 (+.f64 1 N) N) 1))
Calls

2 calls:

6.0ms
N
2.0ms
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Results
AccuracySegmentsBranch
99.3%1N
99.3%1(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 92 to 61 computations (33.7% saved)

regimes34.0ms (0.5%)

Counts
4 → 3
Calls
Call 1
Inputs
(atan2.f64 1 1)
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (+.f64 N (*.f64 N N)))
Outputs
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (+.f64 N (*.f64 N N)))
Calls

1 calls:

33.0ms
N
Results
AccuracySegmentsBranch
99.0%3N
Compiler

Compiled 23 to 15 computations (34.8% saved)

regimes12.0ms (0.2%)

Counts
3 → 3
Calls
Call 1
Inputs
(atan2.f64 1 1)
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
Outputs
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (*.f64 N N))
Calls

1 calls:

11.0ms
N
Results
AccuracySegmentsBranch
98.8%3N
Compiler

Compiled 16 to 12 computations (25% saved)

regimes9.0ms (0.1%)

Counts
2 → 3
Calls
Call 1
Inputs
(atan2.f64 1 1)
(atan2.f64 1 (*.f64 N N))
Outputs
(atan2.f64 1 (*.f64 N N))
(atan2.f64 1 1)
(atan2.f64 1 (*.f64 N N))
Calls

1 calls:

8.0ms
N
Results
AccuracySegmentsBranch
98.7%3N
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes37.0ms (0.5%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(atan2.f64 1 1)
Outputs
(atan2.f64 1 1)
Calls

1 calls:

37.0ms
N
Results
AccuracySegmentsBranch
52.4%1N
Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch47.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
0.17222333555867647
315429.4390399887
26.0ms
-2.535976747160347e+22
-3.709684261502658e-17
Results
42.0ms336×body256valid
Compiler

Compiled 324 to 249 computations (23.1% saved)

bsearch97.0ms (1.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
30.0ms
0.17222333555867647
315429.4390399887
67.0ms
-2.535976747160347e+22
-3.709684261502658e-17
Results
93.0ms336×body256valid
Compiler

Compiled 306 to 240 computations (21.6% saved)

bsearch72.0ms (1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
0.17222333555867647
315429.4390399887
52.0ms
-2.535976747160347e+22
-3.709684261502658e-17
Results
68.0ms336×body256valid
Compiler

Compiled 264 to 219 computations (17% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
10×+-commutative
4×sub-neg
4×if-if-or-not
4×*-commutative
2×*-rgt-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036224
154224
257224
361224
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(atan2.f64 1 (-.f64 (+.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1))
(atan2.f64 1 (+.f64 (*.f64 (+.f64 1 N) N) 1))
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (+.f64 N (*.f64 N N)))))
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 3602879701896397/2251799813685248) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (*.f64 N N))))
(if (<=.f64 N -1) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 1) (atan2.f64 1 1) (atan2.f64 1 (*.f64 N N))))
(atan2.f64 1 1)
Outputs
(atan2.f64 1 (-.f64 (+.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1))
(atan2.f64 1 (+.f64 (+.f64 1 (fma.f64 N (+.f64 1 N) 1)) -1))
(atan2.f64 1 (+.f64 (*.f64 (+.f64 1 N) N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (+.f64 N (*.f64 N N)))))
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 1) (atan2.f64 1 (+.f64 1 N)) (atan2.f64 1 (+.f64 N (*.f64 N N)))))
(if (<=.f64 N -5584463537939415/9007199254740992) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 3602879701896397/2251799813685248) (atan2.f64 1 (+.f64 N 1)) (atan2.f64 1 (*.f64 N N))))
(if (or (<=.f64 N -5584463537939415/9007199254740992) (not (<=.f64 N 3602879701896397/2251799813685248))) (atan2.f64 1 (*.f64 N N)) (atan2.f64 1 (+.f64 1 N)))
(if (<=.f64 N -1) (atan2.f64 1 (*.f64 N N)) (if (<=.f64 N 1) (atan2.f64 1 1) (atan2.f64 1 (*.f64 N N))))
(if (or (<=.f64 N -1) (not (<=.f64 N 1))) (atan2.f64 1 (*.f64 N N)) (atan2.f64 1 1))
(atan2.f64 1 1)
Compiler

Compiled 91 to 69 computations (24.2% saved)

soundness803.0ms (10.8%)

Rules
1868×pow1
1744×add-exp-log
1740×log1p-expm1-u
1740×expm1-log1p-u
1586×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0932
119432
2265632
03395661
17895017
227274993
0836
116136
2198136
0911211
12031083
28051079
333661079
0911211
12031083
28051079
333661079
0836
116136
2198136
0838
117630
2249130
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 284 to 208 computations (26.8% saved)

end141.0ms (1.9%)

Compiler

Compiled 210 to 154 computations (26.7% saved)

Profiling

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