2atan (example 3.5)

Time bar (total: 6.2s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%8.1%91.9%0%0%0%0
100%8.1%0%91.9%0%0%0%1
Compiler

Compiled 15 to 11 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-and, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival->, time spent: 0.0ms, 0.0% of total-time
Operation ival-<, time spent: 0.0ms, 0.0% of total-time
Operation ival-atan, time spent: 0.0ms, 0.0% of total-time

sample2.2s (35.8%)

Results
892.0ms3148×512valid
376.0ms2750×256valid
694.0ms2357×1024valid
0.0ms1×1024valid
Precisions
Click to see histograms. Total time spent on operations: 891.0ms
Operation ival-atan, time spent: 437.0ms, 49.0% of total-time
Operation ival-add, time spent: 142.0ms, 16.0% of total-time
Operation ival-sub, time spent: 103.0ms, 12.0% of total-time
Operation ival->, time spent: 84.0ms, 9.0% of total-time
Operation ival-<, time spent: 69.0ms, 8.0% of total-time
Operation const, time spent: 34.0ms, 4.0% of total-time
Operation ival-and, time spent: 22.0ms, 2.0% of total-time
Bogosity

preprocess265.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
168×fma-define
132×fma-neg
64×sub-neg
44×unsub-neg
40×associate--r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2530-0-(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
00-0-(atan.f64 N)
00-0-(atan.f64 (+.f64 N 1))
00-0-1
00-0-(+.f64 N 1)
00-0-N
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))cancellation253
Confusion
Predicted +Predicted -
+2530
-03
Precision
1.0
Recall
1.0
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017128
133120
261116
3107116
4173116
5266116
6344116
7402116
8453116
9488116
10514116
11516116
Stop Event
1×saturated
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 (neg.f64 N) 1)) (atan.f64 (neg.f64 N)))
(neg.f64 (-.f64 (atan.f64 (+.f64 (neg.f64 N) 1)) (atan.f64 (neg.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 (neg.f64 N) 1)) (atan.f64 (neg.f64 N)))
(-.f64 (atan.f64 (+.f64 1 (neg.f64 N))) (atan.f64 (neg.f64 N)))
(-.f64 (atan.f64 (-.f64 1 N)) (atan.f64 (neg.f64 N)))
(neg.f64 (-.f64 (atan.f64 (+.f64 (neg.f64 N) 1)) (atan.f64 (neg.f64 N))))
(neg.f64 (-.f64 (atan.f64 (+.f64 1 (neg.f64 N))) (atan.f64 (neg.f64 N))))
(neg.f64 (-.f64 (atan.f64 (-.f64 1 N)) (atan.f64 (neg.f64 N))))
(-.f64 (atan.f64 (neg.f64 N)) (atan.f64 (-.f64 1 N)))
Compiler

Compiled 56 to 38 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
Operation ival-atan, time spent: 41.0ms, 59.0% of total-time
Operation ival-add, time spent: 18.0ms, 26.0% of total-time
Operation ival-sub, time spent: 6.0ms, 9.0% of total-time
Operation const, time spent: 4.0ms, 6.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶7.8%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 8 to 6 computations (25% saved)

localize75.0ms (1.2%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓7.8%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 20 to 13 computations (35% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
Operation ival-atan, time spent: 21.0ms, 59.0% of total-time
Operation ival-add, time spent: 10.0ms, 28.0% of total-time
Operation ival-sub, time spent: 3.0ms, 8.0% of total-time
Operation const, time spent: 2.0ms, 6.0% of total-time

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite209.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
1376×prod-diff
1088×unpow-prod-down
708×log1p-expm1-u
708×expm1-log1p-u
644×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
113527
2189027
Stop Event
1×node limit
Counts
1 → 115
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Outputs
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (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 (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 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (log.f64 (exp.f64 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 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/3))
(*.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 (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 (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 (*.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 (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)) 2) 1/3) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (pow.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3) (pow.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 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 (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (pow.f64 (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 (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.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 (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 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 (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (*.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)))) (-.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)) 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 (exp.f64 (atan.f64 (+.f64 N 1))) (/.f64 1 (exp.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 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (neg.f64 (atan.f64 N)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (atan.f64 N))) (exp.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 (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 (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))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(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 (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))
(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 (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 (pow.f64 (cbrt.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))) (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 (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 (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))) (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 (-.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 (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 (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 (+.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)))

simplify197.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
788×log-prod
628×exp-prod
556×distribute-lft-in
520×div-sub
510×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02625061
16434907
219214811
361784771
Stop Event
1×node limit
Counts
127 → 134
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 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 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (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 (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 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (log.f64 (exp.f64 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 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/3))
(*.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 (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 (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 (*.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 (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)) 2) 1/3) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (pow.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3) (pow.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 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 (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (pow.f64 (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 (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.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 (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 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 (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (*.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)))) (-.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)) 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 (exp.f64 (atan.f64 (+.f64 N 1))) (/.f64 1 (exp.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 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 N 1)))) (exp.f64 (neg.f64 (atan.f64 N)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (atan.f64 N))) (exp.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 (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 (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))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(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 (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))
(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 (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 (pow.f64 (cbrt.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))) (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 (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 (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))) (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 (-.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 (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 (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 (+.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)))
Outputs
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 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 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 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 N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 1 (*.f64 -1 N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N 1)) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N 1)) (*.f64 (neg.f64 (atan.f64 N)) 1))
(-.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 N)) (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 1 N)) (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 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 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 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(+.f64 0 (-.f64 (atan.f64 (+.f64 N 1)) (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 N)) (atan.f64 N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 1 (-.f64 (atan.f64 (+.f64 N 1)) (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 N)) (atan.f64 N))
(*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (log.f64 (exp.f64 1)))
(-.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 N)) (atan.f64 N))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/3))
(-.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 N)) (atan.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 2))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (pow.f64 (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) 1))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (pow.f64 (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 1 1/3) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1) (pow.f64 (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) 1))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 3))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) 1/3) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3) (pow.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) 1/3))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3)) 1/3))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 2) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 2)) 1/3) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) 2) (pow.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) 7))))
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(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N 1)) 2))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (/.f64 1 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 3) (pow.f64 (atan.f64 N) 3)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))) (pow.f64 (atan.f64 (+.f64 1 N)) 2)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (/.f64 1 (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 1 N)) 2) (pow.f64 (atan.f64 N) 2)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 1 N))))
(fma.f64 (neg.f64 (sqrt.f64 (atan.f64 N))) (sqrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 -1 (atan.f64 N) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 1 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)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (sqrt.f64 (neg.f64 (atan.f64 N))) (sqrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N 1)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) 1 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) 2) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 1 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 (atan.f64 (+.f64 1 N)) (atan.f64 N))

eval49.0ms (0.8%)

Compiler

Compiled 2567 to 1629 computations (36.5% saved)

prune18.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1331134
Fresh000
Picked011
Done000
Total1332135
Accuracy
99.6%
Counts
135 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
✓7.8%
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 17 to 13 computations (23.5% saved)

localize45.0ms (0.7%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(fma.f64 N (+.f64 1 N) 1)
✓99.6%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
Compiler

Compiled 21 to 15 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
Operation composed, time spent: 8.0ms, 36.0% of total-time
Operation ival-add, time spent: 7.0ms, 31.0% of total-time
Operation ival-mult, time spent: 4.0ms, 18.0% of total-time
Operation ival-atan2, time spent: 3.0ms, 13.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

series7.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
N
@inf
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
1.0ms
N
@inf
(fma.f64 N (+.f64 1 N) 1)
1.0ms
N
@-inf
(fma.f64 N (+.f64 1 N) 1)
1.0ms
N
@-inf
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
1.0ms
N
@0
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))

rewrite78.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
664×unpow-prod-down
443×log1p-expm1-u
443×expm1-log1p-u
424×add-exp-log
414×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01048
110348
2121948
Stop Event
1×node limit
Counts
2 → 76
Calls
Call 1
Inputs
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(fma.f64 N (+.f64 1 N) 1)
Outputs
(+.f64 0 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (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 (fma.f64 N (+.f64 1 N) 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(-.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (log.f64 (E.f64)))
(*.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))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 5/2)) (cbrt.f64 (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)) 2) 1/2)
(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 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.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 (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)))))
(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))))
(log1p.f64 (expm1.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))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(+.f64 1 (fma.f64 N N N))
(+.f64 (fma.f64 N N N) 1)
(+.f64 (fma.f64 N N N) (log.f64 (E.f64)))
(+.f64 0 (fma.f64 N (+.f64 1 N) 1))
(+.f64 (*.f64 (fma.f64 N N N) 1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 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 (fma.f64 N (+.f64 1 N) 1) (log.f64 (E.f64)))
(*.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 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))
(*.f64 (pow.f64 1 1/3) (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 N (+.f64 1 N) 1) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2) 1/3) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 N (+.f64 1 N) 1) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 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 (pow.f64 (fma.f64 N N N) 2) 1) (fma.f64 N (+.f64 1 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) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3) 1/3)
(pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 2)
(pow.f64 (E.f64) (log1p.f64 (fma.f64 N N N)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 N N N))) 2)) (cbrt.f64 (log1p.f64 (fma.f64 N N N))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (fma.f64 N N N)))) (sqrt.f64 (log1p.f64 (fma.f64 N N N))))
(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)))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 1 N) 1)))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(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 (log.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 2))

simplify104.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1204×fma-define
1028×unswap-sqr
836×hypot-define
806×fma-neg
748×log-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02033527
14503245
212733186
360163062
Stop Event
1×node limit
Counts
100 → 103
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (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)))))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 0 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (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 (fma.f64 N (+.f64 1 N) 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(-.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (log.f64 (E.f64)))
(*.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))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 5/2)) (cbrt.f64 (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)) 2) 1/2)
(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 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.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 (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)))))
(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))))
(log1p.f64 (expm1.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))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(+.f64 1 (fma.f64 N N N))
(+.f64 (fma.f64 N N N) 1)
(+.f64 (fma.f64 N N N) (log.f64 (E.f64)))
(+.f64 0 (fma.f64 N (+.f64 1 N) 1))
(+.f64 (*.f64 (fma.f64 N N N) 1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 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 (fma.f64 N (+.f64 1 N) 1) (log.f64 (E.f64)))
(*.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 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))
(*.f64 (pow.f64 1 1/3) (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 N (+.f64 1 N) 1) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2) 1/3) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 N (+.f64 1 N) 1) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 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 (pow.f64 (fma.f64 N N N) 2) 1) (fma.f64 N (+.f64 1 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) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3) 1/3)
(pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 2)
(pow.f64 (E.f64) (log1p.f64 (fma.f64 N N N)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 N N N))) 2)) (cbrt.f64 (log1p.f64 (fma.f64 N N N))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (fma.f64 N N N)))) (sqrt.f64 (log1p.f64 (fma.f64 N N N))))
(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)))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 1 N) 1)))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(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 (log.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 2))
Outputs
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(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 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 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 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 0 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(-.f64 (+.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 1 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(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 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (log.f64 (E.f64)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 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))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.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))
(*.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))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))))
(*.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)))
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2) 1/6) 4)
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 4) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 8)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 5/2)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))))
(*.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)))
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2) 1/6) 4)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 4) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 8)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 5/2)) (cbrt.f64 (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)
(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 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2) 1/2)
(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 (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 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (exp.f64 (cbrt.f64 (pow.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 (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)))))
(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 (fma.f64 N (+.f64 1 N) 1))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(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))
(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))))
(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 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1/3))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 (fma.f64 N N N) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 (fma.f64 N N N) (log.f64 (E.f64)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 0 (fma.f64 N (+.f64 1 N) 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 (*.f64 (fma.f64 N N N) 1) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(-.f64 (+.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 1 (fma.f64 N (+.f64 1 N) 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (fma.f64 N (+.f64 1 N) 1) (log.f64 (E.f64)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 2) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (pow.f64 1 1/3) (fma.f64 N (+.f64 1 N) 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 3))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))))
(*.f64 (cbrt.f64 (fabs.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3/2))) (cbrt.f64 (fabs.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3/2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3/2)) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3/2)))
(pow.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3/2) 1/6) 4)
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 N (+.f64 1 N) 1) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 N (+.f64 1 N) 1) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2) 1/3) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))))
(*.f64 (cbrt.f64 (fabs.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3/2))) (cbrt.f64 (fabs.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3/2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3/2)) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3/2)))
(pow.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3/2) 1/6) 4)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 N (+.f64 1 N) 1) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 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) 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 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) 2) 1) (fma.f64 N (+.f64 1 N) -1))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) 2) -1) (fma.f64 N (+.f64 1 N) -1))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 N N N) 2)) (fma.f64 N (+.f64 1 N) -1))
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 2) 1/2)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3) 1/3)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 2)
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 (E.f64) (log1p.f64 (fma.f64 N N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 N N N))) 2)) (cbrt.f64 (log1p.f64 (fma.f64 N N N))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (fma.f64 N N N)))) (sqrt.f64 (log1p.f64 (fma.f64 N N N))))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 2))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(log.f64 (exp.f64 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 3))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 1 N) 1)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (fma.f64 N N N))) 3))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (fma.f64 N N N))) 1/3))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 2))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)

eval37.0ms (0.6%)

Compiler

Compiled 1566 to 1196 computations (23.6% saved)

prune36.0ms (0.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New8320103
Fresh000
Picked101
Done101
Total8520105
Accuracy
99.9%
Counts
105 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
▶97.8%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
▶97.2%
(atan2.f64 1 (fma.f64 N N N))
97.9%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
94.2%
(atan2.f64 1 (pow.f64 N 2))
77.4%
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) 2) 1) (fma.f64 N (+.f64 1 N) -1)))
97.2%
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
▶99.6%
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
99.6%
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
7.8%
(atan2.f64 1 (+.f64 1 N))
▶62.9%
(atan2.f64 1 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))))
57.8%
(atan2.f64 1 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)))))
▶6.3%
(atan2.f64 1 1)
97.5%
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
99.2%
(*.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))))
64.8%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 5/2)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
98.1%
(*.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)))
60.3%
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
60.0%
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 8)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
53.5%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
Compiler

Compiled 618 to 502 computations (18.8% saved)

localize348.0ms (5.7%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
✓99.4%
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))))
✓99.4%
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)
✓99.3%
(cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))
✓62.9%
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2))
100.0%
(fma.f64 N (+.f64 1 N) 1)
99.6%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
✓99.1%
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
✓98.9%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
✓99.6%
(atan2.f64 1 (fma.f64 N N N))
✓100.0%
(pow.f64 N 2)
✓100.0%
(+.f64 N (pow.f64 N 2))
✓99.6%
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
Compiler

Compiled 169 to 111 computations (34.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 291.0ms
Operation composed, time spent: 92.0ms, 32.0% of total-time
Operation ival-add, time spent: 52.0ms, 18.0% of total-time
Operation ival-mult, time spent: 44.0ms, 15.0% of total-time
Operation ival-pow, time spent: 43.0ms, 15.0% of total-time
Operation ival-sqrt, time spent: 20.0ms, 7.0% of total-time
Operation ival-atan2, time spent: 17.0ms, 6.0% of total-time
Operation ival-cbrt, time spent: 16.0ms, 6.0% of total-time
Operation const, time spent: 8.0ms, 3.0% of total-time

series124.0ms (2%)

Counts
10 → 91
Calls

30 calls:

TimeVariablePointExpression
81.0ms
N
@inf
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
5.0ms
N
@0
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))))
4.0ms
N
@inf
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
4.0ms
N
@-inf
(cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))
3.0ms
N
@-inf
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))))

rewrite236.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
941×log1p-expm1-u
941×expm1-log1p-u
644×fma-neg
244×associate-*r*
160×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029287
1428277
24830277
Stop Event
1×node limit
Counts
10 → 244
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(atan2.f64 1 (fma.f64 N N N))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2))
(cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (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 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (*.f64 (cbrt.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 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)))
(*.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))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) 3) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) 3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) 1) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))) 1)
(*.f64 1 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))
(*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) 1)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)))
(*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6))
(*.f64 (pow.f64 1 1/3) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 1/3) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 1/3) (pow.f64 (sqrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 1/3))
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)
(pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) 1)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)) 3)
(pow.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6) 2)
(sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2))) 1)
(*.f64 1 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2))
(*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2) 1)
(*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5)) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6))
(*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/4) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/4))
(*.f64 (pow.f64 1 5/2) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 2)) 5/2) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 5/2))
(*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 5/2) (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 5/2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5)) 1) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5)))) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5)) (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6))) (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5))
(log.f64 (exp.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)))
(exp.f64 (*.f64 5/2 (log1p.f64 (fma.f64 N N N))))
(exp.f64 (*.f64 (*.f64 5/2 (log1p.f64 (fma.f64 N N N))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)))) 1)
(pow.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)) 1)
(pow.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))) 3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))) 2)
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5)) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))) 1))

simplify169.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
1200×times-frac
814×log-prod
704×associate-*r*
668×exp-prod
656×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063311932
1152110747
2524210747
Stop Event
1×node limit
Counts
335 → 362
Calls
Call 1
Inputs
(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
(pow.f64 N 2)
(pow.f64 N 2)
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (-.f64 (pow.f64 N 2) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (pow.f64 N 2) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (pow.f64 N 2) (*.f64 -1 N)))
(atan2.f64 1 (-.f64 (pow.f64 N 2) (*.f64 -1 N)))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) 1/3)
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) 1/3)
1
(+.f64 1 (*.f64 5/6 N))
(+.f64 1 (+.f64 (*.f64 55/72 (pow.f64 N 2)) (*.f64 5/6 N)))
(+.f64 1 (+.f64 (*.f64 -145/1296 (pow.f64 N 3)) (+.f64 (*.f64 55/72 (pow.f64 N 2)) (*.f64 5/6 N))))
(pow.f64 (pow.f64 N 5) 1/3)
(+.f64 (*.f64 5/6 (pow.f64 (*.f64 1 (pow.f64 N 2)) 1/3)) (pow.f64 (pow.f64 N 5) 1/3))
(+.f64 (*.f64 55/72 (pow.f64 (/.f64 1 N) 1/3)) (+.f64 (*.f64 5/6 (pow.f64 (*.f64 1 (pow.f64 N 2)) 1/3)) (pow.f64 (pow.f64 N 5) 1/3)))
(+.f64 (*.f64 -145/1296 (pow.f64 (/.f64 1 (pow.f64 N 4)) 1/3)) (+.f64 (*.f64 55/72 (pow.f64 (/.f64 1 N) 1/3)) (+.f64 (*.f64 5/6 (pow.f64 (*.f64 1 (pow.f64 N 2)) 1/3)) (pow.f64 (pow.f64 N 5) 1/3))))
(pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3)
(+.f64 (*.f64 5/6 (pow.f64 (*.f64 -1 (pow.f64 N 2)) 1/3)) (pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3))
(+.f64 (*.f64 55/72 (pow.f64 (/.f64 -1 N) 1/3)) (+.f64 (*.f64 5/6 (pow.f64 (*.f64 -1 (pow.f64 N 2)) 1/3)) (pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3)))
(+.f64 (*.f64 -145/1296 (pow.f64 (/.f64 -1 (pow.f64 N 4)) 1/3)) (+.f64 (*.f64 55/72 (pow.f64 (/.f64 -1 N) 1/3)) (+.f64 (*.f64 5/6 (pow.f64 (*.f64 -1 (pow.f64 N 2)) 1/3)) (pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3))))
1
(+.f64 1 (*.f64 1/6 N))
(+.f64 1 (+.f64 (*.f64 7/72 (pow.f64 N 2)) (*.f64 1/6 N)))
(+.f64 1 (+.f64 (*.f64 -125/1296 (pow.f64 N 3)) (+.f64 (*.f64 7/72 (pow.f64 N 2)) (*.f64 1/6 N))))
(pow.f64 N 1/3)
(+.f64 (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 N 2)) 1/3)) (pow.f64 N 1/3))
(+.f64 (*.f64 7/72 (pow.f64 (/.f64 1 (pow.f64 N 5)) 1/3)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 N 2)) 1/3)) (pow.f64 N 1/3)))
(+.f64 (*.f64 -125/1296 (pow.f64 (/.f64 1 (pow.f64 N 8)) 1/3)) (+.f64 (*.f64 7/72 (pow.f64 (/.f64 1 (pow.f64 N 5)) 1/3)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 N 2)) 1/3)) (pow.f64 N 1/3))))
(pow.f64 (*.f64 -1 N) 1/3)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 N 2)) 1/3) (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 (*.f64 -1 N) 1/3))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 N 2)) 1/3) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 N 5)) 1/3) (+.f64 (*.f64 1/72 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 1/12 (+.f64 2 (*.f64 -1 (pow.f64 (sqrt.f64 -1) 4)))))) (pow.f64 (*.f64 -1 N) 1/3)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 N 8)) 1/3) (+.f64 (*.f64 1/1296 (pow.f64 (sqrt.f64 -1) 6)) (+.f64 (*.f64 1/72 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 2 (*.f64 -1 (pow.f64 (sqrt.f64 -1) 4))))) (*.f64 1/36 (+.f64 (*.f64 -6 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 2 (pow.f64 (sqrt.f64 -1) 6)))))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 N 2)) 1/3) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 N 5)) 1/3) (+.f64 (*.f64 1/72 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 1/12 (+.f64 2 (*.f64 -1 (pow.f64 (sqrt.f64 -1) 4)))))) (pow.f64 (*.f64 -1 N) 1/3))))
1
(+.f64 1 (*.f64 5/2 N))
(+.f64 1 (+.f64 (*.f64 5/2 N) (*.f64 35/8 (pow.f64 N 2))))
(+.f64 1 (+.f64 (*.f64 5/2 N) (+.f64 (*.f64 65/16 (pow.f64 N 3)) (*.f64 35/8 (pow.f64 N 2)))))
(pow.f64 N 5)
(+.f64 (*.f64 5/2 (pow.f64 N 4)) (pow.f64 N 5))
(+.f64 (*.f64 5/2 (pow.f64 N 4)) (+.f64 (*.f64 35/8 (pow.f64 N 3)) (pow.f64 N 5)))
(+.f64 (*.f64 5/2 (pow.f64 N 4)) (+.f64 (*.f64 65/16 (pow.f64 N 2)) (+.f64 (*.f64 35/8 (pow.f64 N 3)) (pow.f64 N 5))))
(*.f64 -1 (pow.f64 N 5))
(+.f64 (*.f64 -5/2 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 5)))
(+.f64 (*.f64 -35/8 (pow.f64 N 3)) (+.f64 (*.f64 -5/2 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 5))))
(+.f64 (*.f64 -35/8 (pow.f64 N 3)) (+.f64 (*.f64 -65/16 (pow.f64 N 2)) (+.f64 (*.f64 -5/2 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 5)))))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(pow.f64 N 2)
(+.f64 (*.f64 -1/6 (*.f64 N (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5))) (pow.f64 N 2))
(+.f64 (*.f64 -1/6 (*.f64 N (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5))) (+.f64 (*.f64 1/72 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5) 2)) (+.f64 (*.f64 1/12 (+.f64 (*.f64 -1 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5) 2)) (*.f64 2 (+.f64 16 (*.f64 -5 (pow.f64 (sqrt.f64 -1) 2)))))) (pow.f64 N 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/1296 (*.f64 (pow.f64 N 2) (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5) 3))) (+.f64 (*.f64 1/72 (*.f64 (pow.f64 N 2) (*.f64 (+.f64 (*.f64 -1 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5) 2)) (*.f64 2 (+.f64 16 (*.f64 -5 (pow.f64 (sqrt.f64 -1) 2))))) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5)))) (*.f64 1/36 (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -6 (*.f64 (+.f64 16 (*.f64 -5 (pow.f64 (sqrt.f64 -1) 2))) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5))) (+.f64 (*.f64 2 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5) 3)) (*.f64 6 (-.f64 (*.f64 15 (pow.f64 (sqrt.f64 -1) 2)) 35)))))))) (pow.f64 N 3))) (+.f64 (*.f64 -1/6 (*.f64 N (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5))) (+.f64 (*.f64 1/72 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5) 2)) (+.f64 (*.f64 1/12 (+.f64 (*.f64 -1 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5) 2)) (*.f64 2 (+.f64 16 (*.f64 -5 (pow.f64 (sqrt.f64 -1) 2)))))) (pow.f64 N 2)))))
(-.f64 (exp.f64 (log1p.f64 (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 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (*.f64 (cbrt.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 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)))
(*.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))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) 3) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) 3))
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(exp.f64 (*.f64 (*.f64 5/2 (log1p.f64 (fma.f64 N N N))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))) 1)
(*.f64 1 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))
(*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) 1)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)))
(*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6) (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6))
(*.f64 (pow.f64 1 1/3) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 1/3) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 1/3) (pow.f64 (sqrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 1/3))
(pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)
(pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) 1)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)) 3)
(pow.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 1/6) 2)
(sqrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2))) 1)
(*.f64 1 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2))
(*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2) 1)
(*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5)) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6))
(*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/4) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/4))
(*.f64 (pow.f64 1 5/2) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 2)) 5/2) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 5/2))
(*.f64 (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 5/2) (pow.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) 5/2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5)) 1) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5)))) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5)) (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6))) (sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5))
(log.f64 (exp.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)))
(exp.f64 (*.f64 5/2 (log1p.f64 (fma.f64 N N N))))
(exp.f64 (*.f64 (*.f64 5/2 (log1p.f64 (fma.f64 N N N))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)))) 1)
(pow.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)) 1)
(pow.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))) 3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))) 2)
(sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5)) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6)) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6)))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))) 1))
Outputs
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
N
(pow.f64 N 2)
(pow.f64 N 2)
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (-.f64 (pow.f64 N 2) (*.f64 -1 N)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (-.f64 (pow.f64 N 2) (*.f64 -1 N)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (-.f64 (pow.f64 N 2) (*.f64 -1 N)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (-.f64 (pow.f64 N 2) (*.f64 -1 N)))
(atan2.f64 1 (fma.f64 N N N))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) 1/3)
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
1
(+.f64 1 (*.f64 5/6 N))
(+.f64 1 (*.f64 N 5/6))
(fma.f64 N 5/6 1)
(+.f64 1 (+.f64 (*.f64 55/72 (pow.f64 N 2)) (*.f64 5/6 N)))
(+.f64 1 (fma.f64 55/72 (pow.f64 N 2) (*.f64 N 5/6)))
(+.f64 (fma.f64 N 5/6 1) (*.f64 (pow.f64 N 2) 55/72))
(+.f64 1 (+.f64 (*.f64 -145/1296 (pow.f64 N 3)) (+.f64 (*.f64 55/72 (pow.f64 N 2)) (*.f64 5/6 N))))
(+.f64 1 (fma.f64 -145/1296 (pow.f64 N 3) (fma.f64 55/72 (pow.f64 N 2) (*.f64 N 5/6))))
(+.f64 1 (fma.f64 -145/1296 (pow.f64 N 3) (fma.f64 N 5/6 (*.f64 (pow.f64 N 2) 55/72))))
(pow.f64 (pow.f64 N 5) 1/3)
(cbrt.f64 (pow.f64 N 5))
(+.f64 (*.f64 5/6 (pow.f64 (*.f64 1 (pow.f64 N 2)) 1/3)) (pow.f64 (pow.f64 N 5) 1/3))
(fma.f64 5/6 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 (pow.f64 N 5)))
(+.f64 (*.f64 55/72 (pow.f64 (/.f64 1 N) 1/3)) (+.f64 (*.f64 5/6 (pow.f64 (*.f64 1 (pow.f64 N 2)) 1/3)) (pow.f64 (pow.f64 N 5) 1/3)))
(fma.f64 55/72 (cbrt.f64 (/.f64 1 N)) (fma.f64 5/6 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 (pow.f64 N 5))))
(+.f64 (*.f64 -145/1296 (pow.f64 (/.f64 1 (pow.f64 N 4)) 1/3)) (+.f64 (*.f64 55/72 (pow.f64 (/.f64 1 N) 1/3)) (+.f64 (*.f64 5/6 (pow.f64 (*.f64 1 (pow.f64 N 2)) 1/3)) (pow.f64 (pow.f64 N 5) 1/3))))
(fma.f64 -145/1296 (cbrt.f64 (/.f64 1 (pow.f64 N 4))) (fma.f64 55/72 (cbrt.f64 (/.f64 1 N)) (fma.f64 5/6 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 (pow.f64 N 5)))))
(pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3)
(cbrt.f64 (neg.f64 (pow.f64 N 5)))
(+.f64 (*.f64 5/6 (pow.f64 (*.f64 -1 (pow.f64 N 2)) 1/3)) (pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3))
(fma.f64 5/6 (cbrt.f64 (neg.f64 (pow.f64 N 2))) (cbrt.f64 (neg.f64 (pow.f64 N 5))))
(+.f64 (*.f64 55/72 (pow.f64 (/.f64 -1 N) 1/3)) (+.f64 (*.f64 5/6 (pow.f64 (*.f64 -1 (pow.f64 N 2)) 1/3)) (pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3)))
(fma.f64 55/72 (cbrt.f64 (/.f64 -1 N)) (fma.f64 5/6 (cbrt.f64 (neg.f64 (pow.f64 N 2))) (cbrt.f64 (neg.f64 (pow.f64 N 5)))))
(+.f64 (*.f64 -145/1296 (pow.f64 (/.f64 -1 (pow.f64 N 4)) 1/3)) (+.f64 (*.f64 55/72 (pow.f64 (/.f64 -1 N) 1/3)) (+.f64 (*.f64 5/6 (pow.f64 (*.f64 -1 (pow.f64 N 2)) 1/3)) (pow.f64 (*.f64 -1 (pow.f64 N 5)) 1/3))))
(fma.f64 -145/1296 (cbrt.f64 (/.f64 -1 (pow.f64 N 4))) (fma.f64 55/72 (cbrt.f64 (/.f64 -1 N)) (fma.f64 5/6 (cbrt.f64 (neg.f64 (pow.f64 N 2))) (cbrt.f64 (neg.f64 (pow.f64 N 5))))))
1
(+.f64 1 (*.f64 1/6 N))
(+.f64 1 (*.f64 N 1/6))
(fma.f64 N 1/6 1)
(+.f64 1 (+.f64 (*.f64 7/72 (pow.f64 N 2)) (*.f64 1/6 N)))
(+.f64 1 (fma.f64 7/72 (pow.f64 N 2) (*.f64 N 1/6)))
(+.f64 (fma.f64 N 1/6 1) (*.f64 (pow.f64 N 2) 7/72))
(+.f64 1 (+.f64 (*.f64 -125/1296 (pow.f64 N 3)) (+.f64 (*.f64 7/72 (pow.f64 N 2)) (*.f64 1/6 N))))
(+.f64 1 (fma.f64 -125/1296 (pow.f64 N 3) (fma.f64 7/72 (pow.f64 N 2) (*.f64 N 1/6))))
(+.f64 (fma.f64 (pow.f64 N 3) -125/1296 (*.f64 (pow.f64 N 2) 7/72)) (fma.f64 N 1/6 1))
(pow.f64 N 1/3)
(cbrt.f64 N)
(+.f64 (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 N 2)) 1/3)) (pow.f64 N 1/3))
(fma.f64 1/6 (cbrt.f64 (/.f64 1 (pow.f64 N 2))) (cbrt.f64 N))
(+.f64 (*.f64 7/72 (pow.f64 (/.f64 1 (pow.f64 N 5)) 1/3)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 N 2)) 1/3)) (pow.f64 N 1/3)))
(fma.f64 7/72 (cbrt.f64 (/.f64 1 (pow.f64 N 5))) (fma.f64 1/6 (cbrt.f64 (/.f64 1 (pow.f64 N 2))) (cbrt.f64 N)))
(+.f64 (*.f64 -125/1296 (pow.f64 (/.f64 1 (pow.f64 N 8)) 1/3)) (+.f64 (*.f64 7/72 (pow.f64 (/.f64 1 (pow.f64 N 5)) 1/3)) (+.f64 (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 N 2)) 1/3)) (pow.f64 N 1/3))))
(fma.f64 -125/1296 (cbrt.f64 (/.f64 1 (pow.f64 N 8))) (fma.f64 7/72 (cbrt.f64 (/.f64 1 (pow.f64 N 5))) (fma.f64 1/6 (cbrt.f64 (/.f64 1 (pow.f64 N 2))) (cbrt.f64 N))))
(pow.f64 (*.f64 -1 N) 1/3)
(cbrt.f64 (neg.f64 N))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 N 2)) 1/3) (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 (*.f64 -1 N) 1/3))
(fma.f64 -1/6 (*.f64 (cbrt.f64 (/.f64 -1 (pow.f64 N 2))) (pow.f64 (sqrt.f64 -1) 2)) (cbrt.f64 (neg.f64 N)))
(+.f64 (cbrt.f64 (neg.f64 N)) (*.f64 1/6 (cbrt.f64 (/.f64 -1 (pow.f64 N 2)))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 N 2)) 1/3) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 N 5)) 1/3) (+.f64 (*.f64 1/72 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 1/12 (+.f64 2 (*.f64 -1 (pow.f64 (sqrt.f64 -1) 4)))))) (pow.f64 (*.f64 -1 N) 1/3)))
(fma.f64 -1/6 (*.f64 (cbrt.f64 (/.f64 -1 (pow.f64 N 2))) (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 (cbrt.f64 (/.f64 -1 (pow.f64 N 5))) (fma.f64 1/72 (pow.f64 (sqrt.f64 -1) 4) (+.f64 1/6 (*.f64 1/12 (neg.f64 (pow.f64 (sqrt.f64 -1) 4))))) (cbrt.f64 (neg.f64 N))))
(+.f64 (*.f64 1/6 (cbrt.f64 (/.f64 -1 (pow.f64 N 2)))) (fma.f64 7/72 (cbrt.f64 (/.f64 -1 (pow.f64 N 5))) (cbrt.f64 (neg.f64 N))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 N 8)) 1/3) (+.f64 (*.f64 1/1296 (pow.f64 (sqrt.f64 -1) 6)) (+.f64 (*.f64 1/72 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 2 (*.f64 -1 (pow.f64 (sqrt.f64 -1) 4))))) (*.f64 1/36 (+.f64 (*.f64 -6 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 2 (pow.f64 (sqrt.f64 -1) 6)))))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 N 2)) 1/3) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 N 5)) 1/3) (+.f64 (*.f64 1/72 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 1/12 (+.f64 2 (*.f64 -1 (pow.f64 (sqrt.f64 -1) 4)))))) (pow.f64 (*.f64 -1 N) 1/3))))
(fma.f64 -1 (*.f64 (cbrt.f64 (/.f64 -1 (pow.f64 N 8))) (fma.f64 1/1296 (pow.f64 (sqrt.f64 -1) 6) (fma.f64 1/72 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 2 (neg.f64 (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 1/36 (fma.f64 -6 (pow.f64 (sqrt.f64 -1) 2) (*.f64 2 (pow.f64 (sqrt.f64 -1) 6))))))) (fma.f64 -1/6 (*.f64 (cbrt.f64 (/.f64 -1 (pow.f64 N 2))) (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 (cbrt.f64 (/.f64 -1 (pow.f64 N 5))) (fma.f64 1/72 (pow.f64 (sqrt.f64 -1) 4) (+.f64 1/6 (*.f64 1/12 (neg.f64 (pow.f64 (sqrt.f64 -1) 4))))) (cbrt.f64 (neg.f64 N)))))
(+.f64 (fma.f64 7/72 (cbrt.f64 (/.f64 -1 (pow.f64 N 5))) (cbrt.f64 (neg.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1 (pow.f64 N 8)))) (fma.f64 1/1296 (pow.f64 (sqrt.f64 -1) 6) (+.f64 11/72 (*.f64 (pow.f64 (sqrt.f64 -1) 6) 1/18))) (*.f64 1/6 (cbrt.f64 (/.f64 -1 (pow.f64 N 2))))))
1
(+.f64 1 (*.f64 5/2 N))
(+.f64 1 (*.f64 N 5/2))
(fma.f64 N 5/2 1)
(+.f64 1 (+.f64 (*.f64 5/2 N) (*.f64 35/8 (pow.f64 N 2))))
(+.f64 1 (fma.f64 5/2 N (*.f64 (pow.f64 N 2) 35/8)))
(+.f64 (fma.f64 N 5/2 1) (*.f64 (pow.f64 N 2) 35/8))
(+.f64 1 (+.f64 (*.f64 5/2 N) (+.f64 (*.f64 65/16 (pow.f64 N 3)) (*.f64 35/8 (pow.f64 N 2)))))
(+.f64 1 (fma.f64 5/2 N (fma.f64 65/16 (pow.f64 N 3) (*.f64 (pow.f64 N 2) 35/8))))
(+.f64 (fma.f64 N 5/2 1) (fma.f64 (pow.f64 N 3) 65/16 (*.f64 (pow.f64 N 2) 35/8)))
(pow.f64 N 5)
(+.f64 (*.f64 5/2 (pow.f64 N 4)) (pow.f64 N 5))
(fma.f64 5/2 (pow.f64 N 4) (pow.f64 N 5))
(fma.f64 (pow.f64 N 4) 5/2 (pow.f64 N 5))
(+.f64 (*.f64 5/2 (pow.f64 N 4)) (+.f64 (*.f64 35/8 (pow.f64 N 3)) (pow.f64 N 5)))
(fma.f64 5/2 (pow.f64 N 4) (fma.f64 35/8 (pow.f64 N 3) (pow.f64 N 5)))
(fma.f64 (pow.f64 N 4) 5/2 (fma.f64 (pow.f64 N 3) 35/8 (pow.f64 N 5)))
(+.f64 (*.f64 5/2 (pow.f64 N 4)) (+.f64 (*.f64 65/16 (pow.f64 N 2)) (+.f64 (*.f64 35/8 (pow.f64 N 3)) (pow.f64 N 5))))
(fma.f64 5/2 (pow.f64 N 4) (fma.f64 65/16 (pow.f64 N 2) (fma.f64 35/8 (pow.f64 N 3) (pow.f64 N 5))))
(fma.f64 (pow.f64 N 4) 5/2 (fma.f64 (pow.f64 N 2) 65/16 (fma.f64 (pow.f64 N 3) 35/8 (pow.f64 N 5))))
(*.f64 -1 (pow.f64 N 5))
(neg.f64 (pow.f64 N 5))
(+.f64 (*.f64 -5/2 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 5)))
(fma.f64 -5/2 (pow.f64 N 4) (neg.f64 (pow.f64 N 5)))
(-.f64 (*.f64 (pow.f64 N 4) -5/2) (pow.f64 N 5))
(+.f64 (*.f64 -35/8 (pow.f64 N 3)) (+.f64 (*.f64 -5/2 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 5))))
(fma.f64 -35/8 (pow.f64 N 3) (fma.f64 -5/2 (pow.f64 N 4) (neg.f64 (pow.f64 N 5))))
(-.f64 (fma.f64 (pow.f64 N 3) -35/8 (*.f64 (pow.f64 N 4) -5/2)) (pow.f64 N 5))
(+.f64 (*.f64 -35/8 (pow.f64 N 3)) (+.f64 (*.f64 -65/16 (pow.f64 N 2)) (+.f64 (*.f64 -5/2 (pow.f64 N 4)) (*.f64 -1 (pow.f64 N 5)))))
(fma.f64 -35/8 (pow.f64 N 3) (fma.f64 -65/16 (pow.f64 N 2) (fma.f64 -5/2 (pow.f64 N 4) (neg.f64 (pow.f64 N 5)))))
(fma.f64 (pow.f64 N 3) -35/8 (-.f64 (fma.f64 (pow.f64 N 2) -65/16 (*.f64 (pow.f64 N 4) -5/2)) (pow.f64 N 5)))
1
(+.f64 1 N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 1 (+.f64 N (pow.f64 N 2)))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(pow.f64 N 2)
(+.f64 (*.f64 -1/6 (*.f64 N (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5))) (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 (*.f64 -1/6 (*.f64 N (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5))) (+.f64 (*.f64 1/72 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5) 2)) (+.f64 (*.f64 1/12 (+.f64 (*.f64 -1 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5) 2)) (*.f64 2 (+.f64 16 (*.f64 -5 (pow.f64 (sqrt.f64 -1) 2)))))) (pow.f64 N 2))))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/1296 (*.f64 (pow.f64 N 2) (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5) 3))) (+.f64 (*.f64 1/72 (*.f64 (pow.f64 N 2) (*.f64 (+.f64 (*.f64 -1 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5) 2)) (*.f64 2 (+.f64 16 (*.f64 -5 (pow.f64 (sqrt.f64 -1) 2))))) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5)))) (*.f64 1/36 (*.f64 (pow.f64 N 2) (+.f64 (*.f64 -6 (*.f64 (+.f64 16 (*.f64 -5 (pow.f64 (sqrt.f64 -1) 2))) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5))) (+.f64 (*.f64 2 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5) 3)) (*.f64 6 (-.f64 (*.f64 15 (pow.f64 (sqrt.f64 -1) 2)) 35)))))))) (pow.f64 N 3))) (+.f64 (*.f64 -1/6 (*.f64 N (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5))) (+.f64 (*.f64 1/72 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5) 2)) (+.f64 (*.f64 1/12 (+.f64 (*.f64 -1 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 5) 2)) (*.f64 2 (+.f64 16 (*.f64 -5 (pow.f64 (sqrt.f64 -1) 2)))))) (pow.f64 N 2)))))
(fma.f64 -1 (/.f64 (fma.f64 1/1296 (*.f64 (pow.f64 N 2) (pow.f64 (+.f64 (pow.f64 (sqrt.f64 -1) 2) -5) 3)) (fma.f64 1/72 (*.f64 (pow.f64 N 2) (*.f64 (+.f64 (pow.f64 (sqrt.f64 -1) 2) -5) (fma.f64 -1 (pow.f64 (+.f64 (pow.f64 (sqrt.f64 -1) 2) -5) 2) (+.f64 32 (*.f64 2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) -5)))))) (*.f64 (*.f64 1/36 (pow.f64 N 2)) (fma.f64 -6 (*.f64 (+.f64 (pow.f64 (sqrt.f64 -1) 2) -5) (+.f64 16 (*.f64 (pow.f64 (sqrt.f64 -1) 2) -5))) (fma.f64 2 (pow.f64 (+.f64 (pow.f64 (sqrt.f64 -1) 2) -5) 3) (*.f64 6 (fma.f64 15 (pow.f64 (sqrt.f64 -1) 2) -35))))))) (pow.f64 N 3)) (fma.f64 -1/6 (*.f64 N (+.f64 (pow.f64 (sqrt.f64 -1) 2) -5)) (fma.f64 1/72 (pow.f64 (+.f64 (pow.f64 (sqrt.f64 -1) 2) -5) 2) (fma.f64 1/12 (fma.f64 -1 (pow.f64 (+.f64 (pow.f64 (sqrt.f64 -1) 2) -5) 2) (+.f64 32 (*.f64 2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) -5)))) (pow.f64 N 2)))))
(-.f64 (fma.f64 N (+.f64 1 N) 1) (/.f64 (+.f64 (*.f64 (pow.f64 N 2) -1/6) (+.f64 (*.f64 (pow.f64 N 2) -1/2) (*.f64 (pow.f64 N 2) 2/3))) (pow.f64 N 3)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(expm1.f64 (log1p.f64 (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 (-.f64 (pow.f64 N 2) (neg.f64 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 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 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))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.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 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (*.f64 (cbrt.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 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 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 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) 3) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6) 3))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) 1) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6)) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 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 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) 3/2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 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 (-.f64 (pow.f64 N 2) (neg.f64 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 (-.f64 (pow.f64 N 2) (neg.f64 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 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 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 (-.f64 (pow.f64 N 2) (neg.f64 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))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 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 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1))
(atan2.f64 1 (+.f64 1 (-.f64 (pow.f64 N 2) (neg.f64 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(-.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(+.f64 (fma.f64 N (+.f64 1 N) 1) -1)
(+.f64 (fma.f64 N N N) 0)
(-.f64 (/.f64 (pow.f64 N 2) (*.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 4) (*.f64 N (-.f64 1 N))))
(/.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4)) (*.f64 N (-.f64 1 N)))
(*.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 (+.f64 1 N) N)
(fma.f64 N N N)
(*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.f64 1 N)))
(fma.f64 N N N)
(*.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)))
(fma.f64 N N N)
(*.f64 (cbrt.f64 (pow.f64 N 2)) (*.f64 (cbrt.f64 N) (+.f64 1 N)))
(*.f64 (cbrt.f64 (pow.f64 N 2)) (*.f64 (+.f64 1 N) (cbrt.f64 N)))
(*.f64 (+.f64 1 N) (*.f64 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 N)))
(*.f64 (cbrt.f64 (fma.f64 N N N)) (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)))
(*.f64 (cbrt.f64 (fma.f64 N N N)) (*.f64 (cbrt.f64 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 N (sqrt.f64 N))))
(*.f64 (cbrt.f64 (fma.f64 N N N)) (*.f64 (hypot.f64 N (sqrt.f64 N)) (cbrt.f64 (hypot.f64 N (sqrt.f64 N)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) (cbrt.f64 (fma.f64 N N N)))
(*.f64 (cbrt.f64 (fma.f64 N N N)) (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)))
(*.f64 (sqrt.f64 (hypot.f64 N (sqrt.f64 N))) (*.f64 (sqrt.f64 (hypot.f64 N (sqrt.f64 N))) (hypot.f64 N (sqrt.f64 N))))
(fma.f64 N N N)
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(cbrt.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2) (hypot.f64 1 (hypot.f64 N (sqrt.f64 N)))))
(cbrt.f64 (*.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6))))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 1 N) 1)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(exp.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/6) (pow.f64 (fma.f64 N (+.f64 1 N) 1) 1/6))) 1))
(+.f64 1 (fma.f64 N N N))
(fma.f64 N (+.f64 1 N) 1)

eval265.0ms (4.3%)

Compiler

Compiled 10846 to 8190 computations (24.5% saved)

prune100.0ms (1.6%)

Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New51013523
Fresh7815
Picked325
Done000
Total52023543
Accuracy
100.0%
Counts
543 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
96.8%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2)
97.8%
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))) 3)
✓97.2%
(atan2.f64 1 (fma.f64 N N N))
97.9%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
94.2%
(atan2.f64 1 (pow.f64 N 2))
77.3%
(atan2.f64 1 (+.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (-.f64 (fma.f64 N N 1) N))))
99.5%
(atan2.f64 1 (+.f64 1 (/.f64 (+.f64 N (neg.f64 (pow.f64 N 3))) (-.f64 1 N))))
99.3%
(atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 (pow.f64 N 3/2) (sqrt.f64 N)))))
99.6%
(atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))
▶77.5%
(atan2.f64 1 (+.f64 1 (+.f64 N (sqrt.f64 (pow.f64 N 4)))))
50.4%
(atan2.f64 1 (+.f64 1 (+.f64 N (cbrt.f64 (pow.f64 N 6)))))
▶99.6%
(atan2.f64 1 (+.f64 1 (*.f64 (+.f64 1 N) N)))
99.1%
(atan2.f64 1 (+.f64 1 (*.f64 (*.f64 N (sqrt.f64 (+.f64 1 N))) (sqrt.f64 (+.f64 1 N)))))
▶7.8%
(atan2.f64 1 (+.f64 1 N))
✓6.3%
(atan2.f64 1 1)
96.4%
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
97.5%
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
96.8%
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))))
▶98.1%
(*.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)))
60.3%
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
60.0%
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 8)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
▶51.2%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3))
Compiler

Compiled 651 to 516 computations (20.7% saved)

localize320.0ms (5.2%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
99.6%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
✓99.4%
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)
✓99.3%
(*.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)))
✓99.0%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2))
99.6%
(atan2.f64 1 (fma.f64 N N N))
✓99.4%
(pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3)
✓53.5%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3))
✓100.0%
(+.f64 N (sqrt.f64 (pow.f64 N 4)))
✓99.6%
(atan2.f64 1 (+.f64 1 (+.f64 N (sqrt.f64 (pow.f64 N 4)))))
✓77.6%
(sqrt.f64 (pow.f64 N 4))
✓100.0%
(atan2.f64 1 (+.f64 1 N))
✓100.0%
(*.f64 (+.f64 1 N) N)
✓99.6%
(atan2.f64 1 (+.f64 1 (*.f64 (+.f64 1 N) N)))
Compiler

Compiled 166 to 116 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 199.0ms
Operation ival-pow, time spent: 45.0ms, 23.0% of total-time
Operation ival-add, time spent: 41.0ms, 21.0% of total-time
Operation ival-atan2, time spent: 33.0ms, 17.0% of total-time
Operation composed, time spent: 28.0ms, 14.0% of total-time
Operation ival-mult, time spent: 19.0ms, 10.0% of total-time
Operation ival-sqrt, time spent: 14.0ms, 7.0% of total-time
Operation ival-cbrt, time spent: 10.0ms, 5.0% of total-time
Operation const, time spent: 8.0ms, 4.0% of total-time

series107.0ms (1.7%)

Counts
11 → 124
Calls

33 calls:

TimeVariablePointExpression
43.0ms
N
@0
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)
21.0ms
N
@-inf
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)
20.0ms
N
@inf
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)
3.0ms
N
@0
(pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3)
1.0ms
N
@-inf
(pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3)

rewrite173.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
851×log1p-expm1-u
851×expm1-log1p-u
222×associate-*r*
174×pow1
170×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030269
1457261
25372261
Stop Event
1×node limit
Counts
11 → 280
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 1 (*.f64 (+.f64 1 N) N)))
(*.f64 (+.f64 1 N) N)
(atan2.f64 1 (+.f64 1 N))
(sqrt.f64 (pow.f64 N 4))
(atan2.f64 1 (+.f64 1 (+.f64 N (sqrt.f64 (pow.f64 N 4)))))
(+.f64 N (sqrt.f64 (pow.f64 N 4)))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3))
(pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2))
(*.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)))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)
Outputs
(-.f64 (exp.f64 (log1p.f64 (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 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.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 (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 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (*.f64 (cbrt.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)))))
(*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (*.f64 (sqrt.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)))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/4) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (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 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2) 2/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(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))))
(log.f64 (+.f64 1 (expm1.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))))
(log1p.f64 (expm1.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))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1))
(+.f64 N (pow.f64 N 2))
(+.f64 (pow.f64 N 2) N)
(-.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(-.f64 (/.f64 (pow.f64 N 2) (-.f64 N (pow.f64 N 2))) (/.f64 (pow.f64 N 4) (-.f64 N (pow.f64 N 2))))
(/.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 (pow.f64 N 2)) (-.f64 (pow.f64 N 2) (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 (pow.f64 N 2) (pow.f64 N 3))))
(/.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4)) (-.f64 N (pow.f64 N 2)))
(/.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 (pow.f64 N 2) (pow.f64 N 4))) (neg.f64 (-.f64 N (pow.f64 N 2))))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 N 2)) (-.f64 (pow.f64 N 2) N))
(/.f64 (*.f64 N (+.f64 1 (pow.f64 N 3))) (-.f64 (+.f64 1 (pow.f64 N 2)) N))
(/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (-.f64 1 N))
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) N) (-.f64 (+.f64 1 (pow.f64 N 2)) N))
(/.f64 (*.f64 (-.f64 1 (pow.f64 N 2)) N) (-.f64 1 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)))
(log.f64 (+.f64 1 (expm1.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)))
(log1p.f64 (expm1.f64 (fma.f64 N N N)))
(exp.f64 (+.f64 (log.f64 N) (log1p.f64 N)))
(exp.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 1))
(fma.f64 1 N (pow.f64 N 2))
(fma.f64 1 (pow.f64 N 2) 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 N) (pow.f64 N 2))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (pow.f64 N 2))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 N)))) 1)
(*.f64 1 (atan2.f64 1 (+.f64 1 N)))
(*.f64 (atan2.f64 1 (+.f64 1 N)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 N))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 1 N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 N))) (sqrt.f64 (atan2.f64 1 (+.f64 1 N))))
(pow.f64 (atan2.f64 1 (+.f64 1 N)) 1)
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 N))) 3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 N))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (+.f64 1 N))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (+.f64 1 N)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (atan2.f64 1 (+.f64 1 N))))
(log1p.f64 (expm1.f64 (atan2.f64 1 (+.f64 1 N))))
(exp.f64 (log.f64 (atan2.f64 1 (+.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (+.f64 1 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 N 2))) 1)
(*.f64 1 (pow.f64 N 2))
(*.f64 N N)
(*.f64 (pow.f64 N 2) 1)
(*.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) N))
(*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) N))
(*.f64 (pow.f64 1 1/2) (pow.f64 N 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 N 8)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 N 4)) 1/2))
(*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N 8))) (sqrt.f64 (cbrt.f64 (pow.f64 N 4))))
(*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))
(pow.f64 N 2)
(pow.f64 (pow.f64 N 4) 1/2)
(pow.f64 (pow.f64 N 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 N) 2) 3)
(pow.f64 (pow.f64 N 6) 1/3)
(fabs.f64 (pow.f64 N 2))
(log.f64 (exp.f64 (pow.f64 N 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 N 2))))
(cbrt.f64 (pow.f64 N 6))
(expm1.f64 (log1p.f64 (pow.f64 N 2)))
(log1p.f64 (expm1.f64 (pow.f64 N 2)))
(exp.f64 (*.f64 2 (log.f64 N)))
(exp.f64 (*.f64 (log.f64 N) 2))
(exp.f64 (*.f64 (*.f64 4 (log.f64 N)) 1/2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 N)) 1))
(-.f64 (exp.f64 (log1p.f64 (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 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.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 (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 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (*.f64 (cbrt.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)))))
(*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (*.f64 (sqrt.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)))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/4) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (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 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2) 2/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(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))))
(log.f64 (+.f64 1 (expm1.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))))
(log1p.f64 (expm1.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))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1))
(-.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(-.f64 (/.f64 (pow.f64 N 2) (-.f64 N (pow.f64 N 2))) (/.f64 (pow.f64 N 4) (-.f64 N (pow.f64 N 2))))
(*.f64 1 (fma.f64 N N N))
(*.f64 N (+.f64 1 N))
(*.f64 (+.f64 1 N) N)
(*.f64 (fma.f64 N N N) 1)
(*.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 (+.f64 1 N)) 2) (*.f64 (cbrt.f64 (+.f64 1 N)) N))
(*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) (+.f64 1 N)))
(*.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)))
(*.f64 (sqrt.f64 (+.f64 1 N)) (*.f64 (sqrt.f64 (+.f64 1 N)) N))
(*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.f64 1 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 2) (pow.f64 N 4)) (/.f64 1 (-.f64 N (pow.f64 N 2))))
(*.f64 (*.f64 N (pow.f64 (cbrt.f64 (+.f64 1 N)) 2)) (cbrt.f64 (+.f64 1 N)))
(*.f64 (*.f64 N (sqrt.f64 (+.f64 1 N))) (sqrt.f64 (+.f64 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 (pow.f64 N 2)) (-.f64 (pow.f64 N 2) (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 (pow.f64 N 2) (pow.f64 N 3))))
(/.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4)) (-.f64 N (pow.f64 N 2)))
(/.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 (pow.f64 N 2) (pow.f64 N 4))) (neg.f64 (-.f64 N (pow.f64 N 2))))
(/.f64 (-.f64 (pow.f64 N 4) (pow.f64 N 2)) (-.f64 (pow.f64 N 2) N))
(/.f64 (*.f64 N (+.f64 1 (pow.f64 N 3))) (-.f64 (+.f64 1 (pow.f64 N 2)) N))
(/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (-.f64 1 N))
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) N) (-.f64 (+.f64 1 (pow.f64 N 2)) N))
(/.f64 (*.f64 (-.f64 1 (pow.f64 N 2)) N) (-.f64 1 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)))
(log.f64 (+.f64 1 (expm1.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)))
(log1p.f64 (expm1.f64 (fma.f64 N N N)))
(exp.f64 (+.f64 (log.f64 N) (log1p.f64 N)))
(exp.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 1))
(fma.f64 1 N (pow.f64 N 2))
(fma.f64 1 (pow.f64 N 2) 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 N) (pow.f64 N 2))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (pow.f64 N 2))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N N)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (fma.f64 N N N)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2) 1/3) (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3/2) 1/3) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3/2) 1/3))
(pow.f64 (atan2.f64 1 (fma.f64 N N N)) 1)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N N))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N N)))))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (fma.f64 N N N))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N N))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N N))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N N))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (fma.f64 N N N)))) 1/3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3))) 1)
(*.f64 1 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3))
(*.f64 (atan2.f64 1 (fma.f64 N N N)) (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3) 1)
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2) (atan2.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2) (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2)))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3/2) (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2) 3) (atan2.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 3) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 3))
(*.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2) 1) (atan2.f64 1 (fma.f64 N N N)))
(*.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))))
(*.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2) (sqrt.f64 (atan2.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 6))
(log.f64 (exp.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3)))
(exp.f64 (*.f64 3 (log.f64 (atan2.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (fma.f64 N N N)))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) 1)
(*.f64 1 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (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 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/4) 1/3) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/4) 1/3))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(fabs.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2) 2/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(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))))
(log.f64 (+.f64 1 (expm1.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))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2))) 1)
(*.f64 1 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/4) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/4))
(*.f64 (pow.f64 1 3/2) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3/2) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3/2))
(*.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (sqrt.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)) 3))
(log.f64 (exp.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2))))
(cbrt.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)))
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)))
(exp.f64 (*.f64 3/2 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1))

simplify157.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
1460×fma-define
700×exp-prod
570×fma-neg
564×cube-prod
530×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042711632
189311310
2268611129
Stop Event
1×node limit
Counts
404 → 251
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (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))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (+.f64 N (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))
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(/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (-.f64 1 N))
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) N) (-.f64 (+.f64 1 (pow.f64 N 2)) N))
(/.f64 (*.f64 (-.f64 1 (pow.f64 N 2)) N) (-.f64 1 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)))
(log.f64 (+.f64 1 (expm1.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)))
(log1p.f64 (expm1.f64 (fma.f64 N N N)))
(exp.f64 (+.f64 (log.f64 N) (log1p.f64 N)))
(exp.f64 (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 1))
(fma.f64 1 N (pow.f64 N 2))
(fma.f64 1 (pow.f64 N 2) 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 N) (pow.f64 N 2))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (pow.f64 N 2))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N N)))) 1)
(*.f64 1 (atan2.f64 1 (fma.f64 N N N)))
(*.f64 (atan2.f64 1 (fma.f64 N N N)) 1)
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2))
(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2) 1/3) (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3/2) 1/3) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3/2) 1/3))
(pow.f64 (atan2.f64 1 (fma.f64 N N N)) 1)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N N N))))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N N N)))))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (fma.f64 N N N))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N N N))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N N N))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N N N))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (fma.f64 N N N)))) 1/3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3))) 1)
(*.f64 1 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3))
(*.f64 (atan2.f64 1 (fma.f64 N N N)) (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3) 1)
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2) (atan2.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2) (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2)))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3/2) (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2) 3) (atan2.f64 1 (fma.f64 N N N)))
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 3) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 3))
(*.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2) 1) (atan2.f64 1 (fma.f64 N N N)))
(*.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))))
(*.f64 (*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 2) (sqrt.f64 (atan2.f64 1 (fma.f64 N N N)))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 6))
(log.f64 (exp.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3)))
(exp.f64 (*.f64 3 (log.f64 (atan2.f64 1 (fma.f64 N N N)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 1 (fma.f64 N N N)))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) 1)
(*.f64 1 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (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 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/4) 1/3) (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/4) 1/3))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)) (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2) 1/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)
(sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(fabs.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log.f64 (exp.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2) 2/3)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(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))))
(log.f64 (+.f64 1 (expm1.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))))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2))) 1)
(*.f64 1 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2) 1)
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/4) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/4))
(*.f64 (pow.f64 1 3/2) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) 3/2) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3/2) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3/2))
(*.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (sqrt.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)) 3))
(log.f64 (exp.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2))))
(cbrt.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)))
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)))
(exp.f64 (*.f64 3/2 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1))
Outputs
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(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 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 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 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 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 (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 (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)
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 1 N))
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 N 2)
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 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 (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 (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)
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (-.f64 (pow.f64 N 2) (*.f64 -1 N)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (-.f64 (pow.f64 N 2) (*.f64 -1 N)))
(atan2.f64 1 (fma.f64 N N N))
(atan2.f64 1 (-.f64 (pow.f64 N 2) (*.f64 -1 N)))
(atan2.f64 1 (fma.f64 N N N))
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(sqrt.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)) 3/2)
(*.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (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 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(*.f64 (cbrt.f64 (sqrt.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))) 4))
(*.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (sqrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (sqrt.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)) 3))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)
(sqrt.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)) 3/2)
(log.f64 (exp.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)))
(sqrt.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)) 3/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2))))
(sqrt.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)) 3/2)
(cbrt.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2) 3))
(sqrt.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)) 3/2)
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)))
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)))
(sqrt.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)) 3/2)
(exp.f64 (*.f64 3/2 (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)) 3))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1))
(sqrt.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)) 3/2)

eval275.0ms (4.5%)

Compiler

Compiled 8849 to 7037 computations (20.5% saved)

prune125.0ms (2%)

Pruning

26 alts after pruning (20 fresh and 6 done)

PrunedKeptTotal
New4099418
Fresh51116
Picked145
Done022
Total41526441
Accuracy
100.0%
Counts
441 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
96.8%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2)
97.8%
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))) 3)
✓97.2%
(atan2.f64 1 (fma.f64 N N N))
97.9%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
94.2%
(atan2.f64 1 (pow.f64 N 2))
99.5%
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
77.3%
(atan2.f64 1 (+.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N (+.f64 N -1) 1))))
99.3%
(atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 (pow.f64 N 3/2) (sqrt.f64 N)))))
99.6%
(atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))
✓77.5%
(atan2.f64 1 (+.f64 1 (+.f64 N (sqrt.f64 (pow.f64 N 4)))))
50.4%
(atan2.f64 1 (+.f64 1 (+.f64 N (cbrt.f64 (pow.f64 N 6)))))
✓99.6%
(atan2.f64 1 (+.f64 1 (*.f64 (+.f64 1 N) N)))
99.1%
(atan2.f64 1 (+.f64 1 (*.f64 (*.f64 N (sqrt.f64 (+.f64 1 N))) (sqrt.f64 (+.f64 1 N)))))
✓7.8%
(atan2.f64 1 (+.f64 1 N))
✓6.3%
(atan2.f64 1 1)
99.3%
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/4))
98.5%
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
96.8%
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))))
98.8%
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)))
98.1%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) 3/2)))
97.9%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)) (cbrt.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) 3/2))))
60.3%
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
97.8%
(*.f64 (cbrt.f64 (sqrt.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))) 5/2))
✓51.2%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3))
50.8%
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2) 3) (atan2.f64 1 (fma.f64 N N N))))
Compiler

Compiled 1084 to 845 computations (22% saved)

regimes30.0ms (0.5%)

Counts
44 → 1
Calls
Call 1
Inputs
(atan2.f64 1 1)
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 (+.f64 1 N) N)))
(atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (fma.f64 N N N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (+.f64 N (neg.f64 (pow.f64 N 3))) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (+.f64 N (cbrt.f64 (pow.f64 N 6)))))
(atan2.f64 1 (+.f64 1 (+.f64 N (sqrt.f64 (pow.f64 N 4)))))
(atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 (pow.f64 N 3/2) (sqrt.f64 N)))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))) 3)
(atan2.f64 1 (+.f64 1 (*.f64 (*.f64 N (sqrt.f64 (+.f64 1 N))) (sqrt.f64 (+.f64 1 N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (-.f64 (fma.f64 N N 1) N))))
(atan2.f64 1 (+.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N (+.f64 N -1) 1))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N N N)) 3))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (pow.f64 (cbrt.f64 (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 (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) 2) 1) (fma.f64 N (+.f64 1 N) -1)))
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N N N))) (sqrt.f64 (atan2.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))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/4) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/4))
(*.f64 (sqrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N N N))) 2) 3) (atan2.f64 1 (fma.f64 N N N))))
(atan2.f64 1 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 5/2)) (cbrt.f64 (hypot.f64 1 (hypot.f64 N (sqrt.f64 N))))))
(atan2.f64 1 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (sqrt.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))) 5/2))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 5/2)) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 8)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) 3) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3/2)) (cbrt.f64 (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) 3/2))))
Outputs
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
Calls

2 calls:

24.0ms
N
4.0ms
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Results
AccuracySegmentsBranch
99.6%1N
99.6%1(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
(atan2.f64 1 1)
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 (+.f64 1 N) N)))
(atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))
(atan2.f64 1 (pow.f64 N 2))
(atan2.f64 1 (fma.f64 N N N))
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
Outputs
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
Calls

2 calls:

6.0ms
N
2.0ms
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Results
AccuracySegmentsBranch
99.6%1N
99.6%1(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

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

1 calls:

5.0ms
N
Results
AccuracySegmentsBranch
7.8%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

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:

3.0ms
N
Results
AccuracySegmentsBranch
6.3%1N
Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×+-commutative
3×1-exp
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01785
12885
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 1)
Outputs
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 1)
Compiler

Compiled 30 to 25 computations (16.7% saved)

soundness294.0ms (4.8%)

Rules
1376×prod-diff
1088×unpow-prod-down
788×log-prod
708×log1p-expm1-u
708×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
113527
2189027
02625061
16434907
219214811
361784771
Stop Event
1×node limit
1×node limit
Compiler

Compiled 135 to 95 computations (29.6% saved)

end0.0ms (0%)

preprocess86.0ms (1.4%)

Compiler

Compiled 92 to 74 computations (19.6% saved)

Profiling

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