2atan (example 3.5)

Time bar (total: 8.2s)

analyze0.0ms (0%)

Algorithm
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

sample3.6s (44.2%)

Results
2.0s4010×3valid
865.0ms2676×2valid
323.0ms1217×1valid
57.0ms352×0valid
3.0ms6exit
0.0ms3valid
Precisions
Click to see histograms. Total time spent on operations: 2.2s
Operation ival-atan, time spent: 771.0ms, 35.0% of total-time
Operation ival-add, time spent: 587.0ms, 27.0% of total-time
Operation ival-sub, time spent: 351.0ms, 16.0% of total-time
Operation ival->, time spent: 209.0ms, 10.0% of total-time
Operation ival-<, time spent: 124.0ms, 6.0% of total-time
Operation const, time spent: 90.0ms, 4.0% of total-time
Operation ival-and, time spent: 53.0ms, 2.0% of total-time
Bogosity

preprocess350.0ms (4.3%)

Algorithm
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
2550-0-(-.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
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017128
133120
261116
3107116
4173116
5266116
6344116
7402116
8453116
9488116
10514116
11516116
Stop Event
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 48 to 32 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 170.0ms
Operation ival-add, time spent: 70.0ms, 41.0% of total-time
Operation ival-atan, time spent: 65.0ms, 38.0% of total-time
Operation ival-sub, time spent: 26.0ms, 15.0% of total-time
Operation const, time spent: 9.0ms, 5.0% 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)

localize135.0ms (1.7%)

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: 78.0ms
Operation ival-atan, time spent: 36.0ms, 46.0% of total-time
Operation ival-add, time spent: 27.0ms, 35.0% of total-time
Operation ival-sub, time spent: 10.0ms, 13.0% of total-time
Operation const, time spent: 5.0ms, 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))

rewrite205.0ms (2.5%)

Algorithm
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
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)))

simplify127.0ms (1.6%)

Algorithm
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
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))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 1 N)) (atan.f64 N))) 8)))
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(/.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))

eval51.0ms (0.6%)

Compiler

Compiled 2567 to 1629 computations (36.5% saved)

prune17.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1331134
Fresh000
Picked011
Done000
Total1332135
Accuracy
99.7%
Counts
135 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(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)

localize52.0ms (0.6%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 N (+.f64 1 N) 1)
99.7%
(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: 35.0ms
Operation ival-add, time spent: 15.0ms, 43.0% of total-time
Operation composed, time spent: 11.0ms, 31.0% of total-time
Operation ival-mult, time spent: 4.0ms, 11.0% of total-time
Operation ival-atan2, time spent: 2.0ms, 6.0% of total-time
Operation const, time spent: 2.0ms, 6.0% of total-time

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite76.0ms (0.9%)

Algorithm
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
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))

simplify86.0ms (1.1%)

Algorithm
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
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)

eval43.0ms (0.5%)

Compiler

Compiled 1566 to 1196 computations (23.6% saved)

prune31.0ms (0.4%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New8419103
Fresh000
Picked101
Done101
Total8619105
Accuracy
99.9%
Counts
105 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
97.6%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
91.2%
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
98.1%
(atan2.f64 1 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) 3))
94.2%
(atan2.f64 1 (pow.f64 N 2))
75.2%
(atan2.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 N N N) 2) 1) (fma.f64 N (+.f64 1 N) -1)))
97.3%
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
99.7%
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
99.7%
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
7.7%
(atan2.f64 1 (+.f64 1 N))
61.4%
(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))))))
57.9%
(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)))))
91.9%
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
6.1%
(atan2.f64 1 1)
97.6%
(*.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))))
61.9%
(*.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)))
58.8%
(*.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)))))
52.7%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
Compiler

Compiled 550 to 446 computations (18.9% saved)

localize341.0ms (4.2%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
99.7%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
99.5%
(*.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))))
99.3%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
98.9%
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
100.0%
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
99.7%
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
99.2%
(E.f64)
91.3%
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
100.0%
(+.f64 N (pow.f64 N 2))
99.7%
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
100.0%
(*.f64 N (+.f64 1 N))
99.7%
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
Compiler

Compiled 160 to 119 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 263.0ms
Operation ival-add, time spent: 92.0ms, 35.0% of total-time
Operation composed, time spent: 57.0ms, 22.0% of total-time
Operation ival-mult, time spent: 31.0ms, 12.0% of total-time
Operation ival-atan2, time spent: 27.0ms, 10.0% of total-time
Operation ival-pow, time spent: 21.0ms, 8.0% of total-time
Operation const, time spent: 14.0ms, 5.0% of total-time
Operation ival-log, time spent: 11.0ms, 4.0% of total-time
Operation ival-cbrt, time spent: 8.0ms, 3.0% of total-time
Operation ival-e, time spent: 3.0ms, 1.0% of total-time

series150.0ms (1.8%)

Counts
10 → 87
Calls

27 calls:

TimeVariablePointExpression
51.0ms
N
@0
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
20.0ms
N
@-inf
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
19.0ms
N
@inf
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
19.0ms
N
@0
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
17.0ms
N
@inf
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)

rewrite186.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
1374×fma-define
1107×log1p-expm1-u
1107×expm1-log1p-u
660×fma-neg
154×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025248
1393246
23554246
Stop Event
node limit
Counts
10 → 329
Calls
Call 1
Inputs
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(*.f64 N (+.f64 1 N))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(+.f64 N (pow.f64 N 2))
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(E.f64)
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 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))))
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))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (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)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 4)) (*.f64 (pow.f64 (cbrt.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 (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) (cbrt.f64 (pow.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 (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 (pow.f64 1 (log.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 (exp.f64 2)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
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(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) N)
(-.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))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (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)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 4)) (*.f64 (pow.f64 (cbrt.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 (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) (cbrt.f64 (pow.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 (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 (pow.f64 1 (log.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 (exp.f64 2)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(*.f64 (*.f64 (cbrt.f64 (pow.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)))))
(*.f64 (*.f64 (cbrt.f64 (pow.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))
(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 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
(-.f64 (exp.f64 (log1p.f64 (E.f64))) 1)
(*.f64 1 (E.f64))
(*.f64 (E.f64) 1)
(*.f64 (cbrt.f64 (E.f64)) (cbrt.f64 (exp.f64 2)))
(*.f64 (cbrt.f64 (exp.f64 2)) (cbrt.f64 (E.f64)))
(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))
(pow.f64 (E.f64) 1)
(pow.f64 (cbrt.f64 (E.f64)) 3)
(pow.f64 (pow.f64 (E.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (E.f64)) 2)
(sqrt.f64 (exp.f64 2))
(log.f64 (exp.f64 (E.f64)))
(log.f64 (+.f64 1 (expm1.f64 (E.f64))))
(cbrt.f64 (pow.f64 (E.f64) 3))
(expm1.f64 (log1p.f64 (E.f64)))
(log1p.f64 (expm1.f64 (E.f64)))
(exp.f64 1)
(+.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(+.f64 0 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))) (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(+.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) 1)
(*.f64 1 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(*.f64 3 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
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(*.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3)
(pow.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
(cbrt.f64 (pow.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3))
(expm1.f64 (log1p.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log1p.f64 (-.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1))
(exp.f64 (log.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1))
(fma.f64 1 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(fma.f64 1 (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))) (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(fma.f64 1 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(fma.f64 2 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(fma.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/2 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(fma.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(fma.f64 1/3 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (/.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(fma.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (/.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (cbrt.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))) (cbrt.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))) (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))) (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))) (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (cbrt.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))) (cbrt.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(fma.f64 (sqrt.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(fma.f64 (sqrt.f64 (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))) (sqrt.f64 (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))) (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) 1)
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(*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
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(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.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) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3))
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(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) 1/2)
(pow.f64 (cbrt.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)) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(fabs.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (log.f64 (cbrt.f64 (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))) 1/3))
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(sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 4))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))) 1))
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(pow.f64 (E.f64) (*.f64 2 (log.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)) 3) 1/3)
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(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))))
(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 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))

simplify169.0ms (2.1%)

Algorithm
egg-herbie
Rules
1080×times-frac
534×distribute-lft-in
492×distribute-rgt-in
470×sqr-pow
466×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041113822
189513348
2264612822
Stop Event
node limit
Counts
416 → 245
Calls
Call 1
Inputs
(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 (+.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)
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(log.f64 (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)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) 2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) 2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) 2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) 2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) 2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) 2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) 2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) 2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) 2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) 2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) 2) 1/3)
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) 2) 1/3)
(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)))))
(-.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))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (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)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 4)) (*.f64 (pow.f64 (cbrt.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 (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) (cbrt.f64 (pow.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 (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 (pow.f64 1 (log.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 (exp.f64 2)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(*.f64 (*.f64 (cbrt.f64 (pow.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)))))
(*.f64 (*.f64 (cbrt.f64 (pow.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))
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(pow.f64 (E.f64) (*.f64 2 (log.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)) 3) 1/3)
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(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))))
(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 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
(+.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 (-.f64 1 N))) (/.f64 (pow.f64 N 4) (*.f64 N (-.f64 1 N))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3)) (+.f64 (pow.f64 N 6) (pow.f64 N 3))))
(/.f64 1 (/.f64 (*.f64 N (-.f64 1 N)) (-.f64 (pow.f64 N 2) (pow.f64 N 4))))
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (-.f64 (fma.f64 N N (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 (-.f64 1 N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 6) (pow.f64 N 3))) (neg.f64 (-.f64 (fma.f64 N N (pow.f64 N 4)) (pow.f64 N 3))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4))) (neg.f64 (*.f64 N (-.f64 1 N))))
(/.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))) (fma.f64 N (-.f64 N 1) 1))
(/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (-.f64 1 N))
(/.f64 (*.f64 (+.f64 1 (pow.f64 N 3)) N) (fma.f64 N (-.f64 N 1) 1))
(/.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 (fma.f64 N (+.f64 1 N) 1) -1)
(fma.f64 1 (pow.f64 N 2) N)
(fma.f64 N 1 (pow.f64 N 2))
(fma.f64 N N N)
(fma.f64 (fma.f64 N (+.f64 1 N) 1) 1 -1)
(fma.f64 (pow.f64 N 2) 1 N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (pow.f64 N 4)) N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (pow.f64 N 2))
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) N) N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) 1) (pow.f64 N 2))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) N)
(fma.f64 (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 1 N) 1) 2)) (cbrt.f64 (fma.f64 N (+.f64 1 N) 1)) -1)
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2) (pow.f64 N 2))
(fma.f64 (hypot.f64 (sqrt.f64 (+.f64 1 N)) N) (hypot.f64 (sqrt.f64 (+.f64 1 N)) N) -1)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (pow.f64 N 2))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) N) N)
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) 1) (pow.f64 N 2))
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 N N N) 3)) (/.f64 1 (fma.f64 (fma.f64 N N N) (fma.f64 N (+.f64 1 N) -1) 1)) -1)
(fma.f64 (-.f64 1 (pow.f64 (fma.f64 N N N) 2)) (/.f64 1 (-.f64 1 (fma.f64 N N N))) -1)
(fma.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N) N)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N 4))) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)) (pow.f64 N 2))
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N) N)
(-.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))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (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)))) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 4)) (*.f64 (pow.f64 (cbrt.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)))))
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(fma.f64 2 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(fma.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/2 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(fma.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(fma.f64 1/3 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (/.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(fma.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (/.f64 (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (cbrt.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))) (cbrt.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))) (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))) (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))) (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (cbrt.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))) (cbrt.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(fma.f64 (sqrt.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(fma.f64 (sqrt.f64 (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))) (sqrt.f64 (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))) (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) 1)
(*.f64 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))) 1)
(*.f64 (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)))))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (pow.f64 (cbrt.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) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3) (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 4))) (sqrt.f64 (pow.f64 (cbrt.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)) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1)
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) 1/2)
(pow.f64 (cbrt.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)) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(fabs.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (log.f64 (cbrt.f64 (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))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))) 1)
(*.f64 1 (cbrt.f64 (pow.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))) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 4)))
(*.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)))) (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))) 4)) (pow.f64 (cbrt.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) (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))) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6))
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (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)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 4))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1)
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(pow.f64 (E.f64) (*.f64 2 (log.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)) 3) 1/3)
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(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))))
(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 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
Outputs
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
N
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(+.f64 N (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 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (-.f64 (+.f64 1 (pow.f64 N 2)) (*.f64 -1 N)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
N
(pow.f64 N 2)
(pow.f64 N 2)
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))) (log.f64 (E.f64)))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(log.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)))
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(*.f64 (cbrt.f64 (E.f64)) (cbrt.f64 (exp.f64 2)))
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(log.f64 (+.f64 1 (expm1.f64 (E.f64))))
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(cbrt.f64 (pow.f64 (E.f64) 3))
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(expm1.f64 (log1p.f64 (E.f64)))
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(exp.f64 1)
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(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 4))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(+.f64 0 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))) 1))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(-.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 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 0)
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (E.f64) (*.f64 2 (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))) (sqrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2)) (cbrt.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(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 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(+.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 0)
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 3))
(atan2.f64 1 (+.f64 1 (fma.f64 N N N)))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))

eval295.0ms (3.6%)

Compiler

Compiled 12537 to 10128 computations (19.2% saved)

prune81.0ms (1%)

Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New53314547
Fresh6814
Picked235
Done000
Total54125566
Accuracy
100.0%
Counts
566 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
91.5%
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
92.0%
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
97.6%
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
91.2%
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))))
94.2%
(atan2.f64 1 (pow.f64 N 2))
97.3%
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
99.5%
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
75.1%
(atan2.f64 1 (+.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N (+.f64 N -1) 1))))
99.6%
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 (-.f64 1 (pow.f64 N 2)) N) (-.f64 1 N))))
99.7%
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
75.0%
(atan2.f64 1 (+.f64 1 (*.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4)) (/.f64 1 (*.f64 N (-.f64 1 N))))))
99.1%
(atan2.f64 1 (+.f64 1 (*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N))))
99.4%
(atan2.f64 1 (+.f64 1 (*.f64 N (/.f64 (+.f64 1 (pow.f64 N 3)) (fma.f64 N (+.f64 N -1) 1)))))
99.7%
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
7.7%
(atan2.f64 1 (+.f64 1 N))
6.1%
(atan2.f64 1 1)
76.5%
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))) 2) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
93.2%
(*.f64 (pow.f64 (cbrt.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))) 1/3)))
97.7%
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)))
97.6%
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))))
61.9%
(*.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)))))
76.7%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
98.1%
(*.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)))
52.7%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
Compiler

Compiled 754 to 618 computations (18% saved)

localize458.0ms (5.6%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.5%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
99.4%
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)
98.9%
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
77.0%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
100.0%
(fma.f64 N (+.f64 1 N) 1)
99.7%
(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)
98.9%
(cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
99.7%
(atan2.f64 1 (+.f64 1 (*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N))))
99.6%
(*.f64 (+.f64 1 N) (sqrt.f64 N))
99.5%
(*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N))
100.0%
(atan2.f64 1 (+.f64 1 N))
100.0%
(-.f64 1 (pow.f64 N 2))
99.7%
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 (-.f64 1 (pow.f64 N 2)) N) (-.f64 1 N))))
99.7%
(*.f64 (-.f64 1 (pow.f64 N 2)) N)
99.6%
(/.f64 (*.f64 (-.f64 1 (pow.f64 N 2)) N) (-.f64 1 N))
Compiler

Compiled 229 to 164 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 343.0ms
Operation ival-add, time spent: 105.0ms, 31.0% of total-time
Operation composed, time spent: 72.0ms, 21.0% of total-time
Operation ival-mult, time spent: 51.0ms, 15.0% of total-time
Operation ival-atan2, time spent: 26.0ms, 8.0% of total-time
Operation ival-sub, time spent: 25.0ms, 7.0% of total-time
Operation ival-pow, time spent: 21.0ms, 6.0% of total-time
Operation const, time spent: 18.0ms, 5.0% of total-time
Operation ival-cbrt, time spent: 13.0ms, 4.0% of total-time
Operation ival-div, time spent: 7.0ms, 2.0% of total-time
Operation ival-sqrt, time spent: 5.0ms, 1.0% of total-time

series44.0ms (0.5%)

Counts
12 → 124
Calls

36 calls:

TimeVariablePointExpression
7.0ms
N
@inf
(*.f64 (-.f64 1 (pow.f64 N 2)) N)
6.0ms
N
@inf
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
3.0ms
N
@0
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
3.0ms
N
@-inf
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
2.0ms
N
@0
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))

rewrite207.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1018×log1p-expm1-u
326×associate-*r*
214×associate-*l*
209×expm1-log1p-u
204×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031438
1495294
26575294
Stop Event
node limit
Counts
12 → 347
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1 (pow.f64 N 2)) N) (-.f64 1 N))
(*.f64 (-.f64 1 (pow.f64 N 2)) N)
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 (-.f64 1 (pow.f64 N 2)) N) (-.f64 1 N))))
(-.f64 1 (pow.f64 N 2))
(atan2.f64 1 (+.f64 1 N))
(*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N))
(*.f64 (+.f64 1 N) (sqrt.f64 N))
(atan2.f64 1 (+.f64 1 (*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
Outputs
(+.f64 N (pow.f64 N 2))
(+.f64 (pow.f64 N 2) N)
(-.f64 (fma.f64 N (+.f64 1 N) 1) 1)
(*.f64 1 (fma.f64 N N N))
(*.f64 N (+.f64 1 N))
(*.f64 (-.f64 1 (pow.f64 N 2)) (/.f64 N (-.f64 1 N)))
(*.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (/.f64 1 (-.f64 1 N)))
(*.f64 (+.f64 1 N) N)
(*.f64 (sqrt.f64 N) (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)))
(*.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2)) (sqrt.f64 N))
(*.f64 (fma.f64 N N N) 1)
(*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 (cbrt.f64 N) (+.f64 1 N)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 N 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 N 2))) (/.f64 N (-.f64 1 N))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (*.f64 (cbrt.f64 (+.f64 1 N)) N))
(*.f64 (cbrt.f64 (*.f64 N (pow.f64 (+.f64 1 N) 2))) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))) (sqrt.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 N (-.f64 1 (pow.f64 N 2)))) 2) (/.f64 (cbrt.f64 (*.f64 N (-.f64 1 (pow.f64 N 2)))) (-.f64 1 N)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 N (-.f64 1 (pow.f64 N 2)))) 2) (*.f64 (cbrt.f64 (*.f64 N (-.f64 1 (pow.f64 N 2)))) (/.f64 1 (-.f64 1 N))))
(*.f64 (cbrt.f64 (fma.f64 N N N)) (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 N N N) 2)) (cbrt.f64 (fma.f64 N N N)))
(*.f64 (cbrt.f64 N) (*.f64 (cbrt.f64 (sqrt.f64 N)) (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))))
(*.f64 (pow.f64 N 1/4) (*.f64 (pow.f64 N 1/4) (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 N 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 N 2))) (/.f64 N (-.f64 1 N))))
(*.f64 (sqrt.f64 (+.f64 1 N)) (*.f64 (sqrt.f64 (+.f64 1 N)) N))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))) (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))) (sqrt.f64 N)))
(*.f64 (sqrt.f64 (*.f64 N (-.f64 1 (pow.f64 N 2)))) (/.f64 (sqrt.f64 (*.f64 N (-.f64 1 (pow.f64 N 2)))) (-.f64 1 N)))
(*.f64 (sqrt.f64 (*.f64 N (-.f64 1 (pow.f64 N 2)))) (*.f64 (sqrt.f64 (*.f64 N (-.f64 1 (pow.f64 N 2)))) (/.f64 1 (-.f64 1 N))))
(*.f64 (sqrt.f64 (fma.f64 N N N)) (sqrt.f64 (fma.f64 N N N)))
(*.f64 (*.f64 (-.f64 1 (pow.f64 N 2)) (neg.f64 N)) (/.f64 1 (neg.f64 (-.f64 1 N))))
(*.f64 (/.f64 1 (-.f64 1 N)) (*.f64 N (-.f64 1 (pow.f64 N 2))))
(*.f64 (/.f64 N (-.f64 1 N)) (-.f64 1 (pow.f64 N 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 N) 2))) (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (cbrt.f64 (-.f64 1 N))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 N))) (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (sqrt.f64 (-.f64 1 N))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 N 2)) (sqrt.f64 (-.f64 1 N))) (/.f64 N (sqrt.f64 (-.f64 1 N))))
(*.f64 (/.f64 N 1) (+.f64 1 N))
(*.f64 (/.f64 N (cbrt.f64 (pow.f64 (-.f64 1 N) 2))) (/.f64 (-.f64 1 (pow.f64 N 2)) (cbrt.f64 (-.f64 1 N))))
(*.f64 (/.f64 N (sqrt.f64 (-.f64 1 N))) (/.f64 (-.f64 1 (pow.f64 N 2)) (sqrt.f64 (-.f64 1 N))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 N 2)) 1) (/.f64 N (-.f64 1 N)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 N 2)) (cbrt.f64 (pow.f64 (-.f64 1 N) 2))) (/.f64 N (cbrt.f64 (-.f64 1 N))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 N (-.f64 1 (pow.f64 N 2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 N (-.f64 1 (pow.f64 N 2)))) (-.f64 1 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 N (-.f64 1 (pow.f64 N 2)))) 2) (cbrt.f64 (pow.f64 (-.f64 1 N) 2))) (cbrt.f64 (fma.f64 N N N)))
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(*.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 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 4))) (*.f64 (pow.f64 (cbrt.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 (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 (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 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(*.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)))))
(*.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))
(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 (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)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(fabs.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(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 (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)
(*.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 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 4))) (*.f64 (pow.f64 (cbrt.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 (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 (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 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(*.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)))))
(*.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))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(fabs.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(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 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))) 1)
(*.f64 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))) (cbrt.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) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 4))))
(*.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)))) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 4))) (pow.f64 (cbrt.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) (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))) (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1/6))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (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)))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2/3)
(pow.f64 (cbrt.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)) 2) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 4)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))) 1)
(*.f64 1 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (cbrt.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) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 4)) (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))) (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (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 (*.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)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 4)) 1) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 4)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.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)) 4))
(log.f64 (exp.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(exp.f64 (*.f64 2 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (*.f64 (*.f64 2 (log.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 (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 (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)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(fabs.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(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 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1))

simplify241.0ms (3%)

Algorithm
egg-herbie
Rules
1114×fma-neg
764×exp-prod
746×associate-*l*
744×log-prod
734×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057115044
1133614502
2518214284
Stop Event
node limit
Counts
471 → 359
Calls
Call 1
Inputs
N
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
(+.f64 N (pow.f64 N 2))
N
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(*.f64 -1 (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(*.f64 -1 (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (+.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (+.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (+.f64 1 (*.f64 -1 N)))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (+.f64 1 (*.f64 -1 N)))))
1
(+.f64 1 (*.f64 -1 (pow.f64 N 2)))
(+.f64 1 (*.f64 -1 (pow.f64 N 2)))
(+.f64 1 (*.f64 -1 (pow.f64 N 2)))
(*.f64 -1 (pow.f64 N 2))
(+.f64 1 (*.f64 -1 (pow.f64 N 2)))
(+.f64 1 (*.f64 -1 (pow.f64 N 2)))
(+.f64 1 (*.f64 -1 (pow.f64 N 2)))
(*.f64 -1 (pow.f64 N 2))
(+.f64 1 (*.f64 -1 (pow.f64 N 2)))
(+.f64 1 (*.f64 -1 (pow.f64 N 2)))
(+.f64 1 (*.f64 -1 (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)))
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))
(*.f64 -1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))
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(pow.f64 (cbrt.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)) 2) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 4)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))) 1)
(*.f64 1 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(*.f64 (cbrt.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) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 4)) (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))) (*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (*.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) (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 (*.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)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 4)) 1) (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 4)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) (cbrt.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)) 4))
(log.f64 (exp.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(exp.f64 (*.f64 2 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(exp.f64 (*.f64 (*.f64 2 (log.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 (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 (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)
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(fabs.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(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 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1))
Outputs
N
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(+.f64 N (pow.f64 N 2))
(fma.f64 N N N)
(pow.f64 N 2)
(+.f64 N (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)
N
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (neg.f64 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (neg.f64 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (neg.f64 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(*.f64 -1 (pow.f64 N 3))
(neg.f64 (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (neg.f64 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (neg.f64 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (neg.f64 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(*.f64 -1 (pow.f64 N 3))
(neg.f64 (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (neg.f64 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (neg.f64 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(+.f64 N (*.f64 -1 (pow.f64 N 3)))
(+.f64 N (neg.f64 (pow.f64 N 3)))
(-.f64 N (pow.f64 N 3))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (-.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 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (-.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 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (-.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 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (-.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 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (-.f64 (/.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 3) (-.f64 1 N)))))
(atan2.f64 1 (+.f64 1 (+.f64 (/.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 3) (+.f64 N -1)))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (-.f64 (/.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 3) (-.f64 1 N)))))
(atan2.f64 1 (+.f64 1 (+.f64 (/.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 3) (+.f64 N -1)))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (-.f64 (/.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 3) (-.f64 1 N)))))
(atan2.f64 1 (+.f64 1 (+.f64 (/.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 3) (+.f64 N -1)))))
(atan2.f64 1 (-.f64 (+.f64 1 (/.f64 N (-.f64 1 N))) (/.f64 (pow.f64 N 3) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (-.f64 (/.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 3) (-.f64 1 N)))))
(atan2.f64 1 (+.f64 1 (+.f64 (/.f64 N (-.f64 1 N)) (/.f64 (pow.f64 N 3) (+.f64 N -1)))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (+.f64 1 (*.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 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (+.f64 1 (*.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 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (+.f64 1 (*.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 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 N (-.f64 1 (pow.f64 N 2))) (+.f64 1 (*.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 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
1
(+.f64 1 (*.f64 -1 (pow.f64 N 2)))
(-.f64 1 (pow.f64 N 2))
(+.f64 1 (*.f64 -1 (pow.f64 N 2)))
(-.f64 1 (pow.f64 N 2))
(+.f64 1 (*.f64 -1 (pow.f64 N 2)))
(-.f64 1 (pow.f64 N 2))
(*.f64 -1 (pow.f64 N 2))
(neg.f64 (pow.f64 N 2))
(+.f64 1 (*.f64 -1 (pow.f64 N 2)))
(-.f64 1 (pow.f64 N 2))
(+.f64 1 (*.f64 -1 (pow.f64 N 2)))
(-.f64 1 (pow.f64 N 2))
(+.f64 1 (*.f64 -1 (pow.f64 N 2)))
(-.f64 1 (pow.f64 N 2))
(*.f64 -1 (pow.f64 N 2))
(neg.f64 (pow.f64 N 2))
(+.f64 1 (*.f64 -1 (pow.f64 N 2)))
(-.f64 1 (pow.f64 N 2))
(+.f64 1 (*.f64 -1 (pow.f64 N 2)))
(-.f64 1 (pow.f64 N 2))
(+.f64 1 (*.f64 -1 (pow.f64 N 2)))
(-.f64 1 (pow.f64 N 2))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 N 1))
(atan2.f64 1 (-.f64 1 (*.f64 -1 N)))
(atan2.f64 1 (-.f64 1 (neg.f64 N)))
(atan2.f64 1 (+.f64 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)
(*.f64 -1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))
(pow.f64 N 2)
(+.f64 (*.f64 -1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 N N N)
(+.f64 (*.f64 -1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 N N N)
(+.f64 (*.f64 -1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))) (*.f64 -1 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 N N N)
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (*.f64 -1 (*.f64 N (*.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 1 (*.f64 -1 N)))))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (*.f64 -1 (*.f64 N (*.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 1 (*.f64 -1 N)))))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (*.f64 -1 (*.f64 N (*.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 1 (*.f64 -1 N)))))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(atan2.f64 1 (+.f64 1 (*.f64 -1 (*.f64 N (*.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 1 (*.f64 -1 N)))))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(*.f64 (pow.f64 1 1/3) (atan2.f64 1 (+.f64 1 (*.f64 N (-.f64 1 (*.f64 -1 N))))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) 2) 1/3)
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2))
(pow.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2)))) 2) 1/3)
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(fma.f64 N N N)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N N N))))
(fma.f64 N N N)
(log.f64 (*.f64 (exp.f64 (pow.f64 N 2)) (exp.f64 N)))
(fma.f64 N N N)
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(fma.f64 N N N)
(cbrt.f64 (*.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 N) 3)))
(fma.f64 N N N)
(expm1.f64 (log1p.f64 (fma.f64 N N N)))
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(+.f64 (fma.f64 N N N) 0)
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(fma.f64 N N N)
(exp.f64 (+.f64 (log1p.f64 N) (log.f64 N)))
(fma.f64 N N N)
(exp.f64 (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1))
(fma.f64 N N N)
(exp.f64 (+.f64 (log.f64 N) (log1p.f64 N)))
(fma.f64 N N N)
(fma.f64 1 (pow.f64 N 2) N)
(fma.f64 N N N)
(fma.f64 N N N)
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) N)
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(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 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 N 1) 1))
(pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) 3/2)
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(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2)) 3/2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
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(log.f64 (exp.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2) 3))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2)
(exp.f64 (*.f64 2 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))) 1))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2)
(-.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 N 1) 1))))
(pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 1)
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 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 N 1) 1))
(pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2) 3/2)
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2)) 3/2)
(pow.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3) 1/3)
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(sqrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(fabs.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(log.f64 (exp.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(log.f64 (+.f64 1 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(expm1.f64 (log1p.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(log1p.f64 (expm1.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(exp.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))
(exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1))
(atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))

eval611.0ms (7.5%)

Compiler

Compiled 17290 to 13835 computations (20% saved)

prune207.0ms (2.5%)

Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New78511796
Fresh51217
Picked415
Done033
Total79427821
Accuracy
100.0%
Counts
821 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2) 3/2)
99.0%
(pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)
76.6%
(pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))) 3)
91.5%
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
90.9%
(pow.f64 (exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3)) 3)
92.0%
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
76.8%
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2)) 3/2)
97.6%
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))) 3)
91.2%
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))))
94.2%
(atan2.f64 1 (pow.f64 N 2))
97.3%
(atan2.f64 1 (+.f64 N (pow.f64 N 2)))
99.5%
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
75.1%
(atan2.f64 1 (+.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N (+.f64 N -1) 1))))
97.2%
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 (neg.f64 (pow.f64 N 2)) N) (-.f64 1 N))))
97.1%
(atan2.f64 1 (+.f64 1 (/.f64 (neg.f64 (pow.f64 N 3)) (-.f64 1 N))))
99.7%
(atan2.f64 1 (+.f64 1 (+.f64 N (pow.f64 N 2))))
99.4%
(atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 (sqrt.f64 N) (pow.f64 N 3/2)))))
99.2%
(atan2.f64 1 (+.f64 1 (*.f64 (pow.f64 N 1/4) (*.f64 (pow.f64 N 1/4) (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))))))
99.4%
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 1 (-.f64 1 N)) (*.f64 N (-.f64 1 (pow.f64 N 2))))))
99.7%
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
7.7%
(atan2.f64 1 (+.f64 1 N))
6.1%
(atan2.f64 1 1)
97.7%
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)))
61.9%
(*.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)))))
76.7%
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 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)))
52.7%
(cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 3))
Compiler

Compiled 1066 to 861 computations (19.2% saved)

regimes29.0ms (0.4%)

Counts
46 → 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 (pow.f64 N 2))
(-.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 (neg.f64 (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (-.f64 N (pow.f64 N 3)) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 (neg.f64 (pow.f64 N 2)) N) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (*.f64 (-.f64 1 (pow.f64 N 2)) N) (-.f64 1 N))))
(atan2.f64 1 (+.f64 1 (*.f64 (/.f64 1 (-.f64 1 N)) (*.f64 N (-.f64 1 (pow.f64 N 2))))))
(atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 (sqrt.f64 N) (pow.f64 N 3/2)))))
(pow.f64 (E.f64) (log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))) 3)
(atan2.f64 1 (+.f64 1 (*.f64 (*.f64 (+.f64 1 N) (sqrt.f64 N)) (sqrt.f64 N))))
(atan2.f64 1 (+.f64 1 (/.f64 (+.f64 N (pow.f64 N 4)) (fma.f64 N (+.f64 N -1) 1))))
(atan2.f64 1 (+.f64 1 (*.f64 N (/.f64 (+.f64 1 (pow.f64 N 3)) (fma.f64 N (+.f64 N -1) 1)))))
(atan2.f64 1 (+.f64 1 (*.f64 (-.f64 (pow.f64 N 2) (pow.f64 N 4)) (/.f64 1 (*.f64 N (-.f64 1 N))))))
(atan2.f64 1 (exp.f64 (log1p.f64 (fma.f64 N N N))))
(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 (E.f64) (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 3)
(pow.f64 (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)))
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1)) 2)) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 N 1) 1))) 2) 3/2)
(pow.f64 (exp.f64 (*.f64 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 1/3)) 3)
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(atan2.f64 1 (+.f64 1 (*.f64 (pow.f64 N 1/4) (*.f64 (pow.f64 N 1/4) (+.f64 (sqrt.f64 N) (pow.f64 N 3/2))))))
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)))))
(pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))) 3)
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2)) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
(*.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 (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 (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 (pow.f64 (cbrt.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))) 1/3)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2) (cbrt.f64 (pow.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) 2)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1)) 2))) 2) (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)))))
Outputs
(atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))
Calls

2 calls:

24.0ms
N
4.0ms
(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Results
AccuracySegmentsBranch
99.7%1N
99.7%1(-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

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:

3.0ms
N
Results
AccuracySegmentsBranch
7.7%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
6.1%1N
Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative
1-exp
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01254
12154
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(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 (+.f64 1 N))))
(atan2.f64 1 (+.f64 1 N))
(atan2.f64 1 1)
Compiler

Compiled 20 to 17 computations (15% saved)

soundness296.0ms (3.6%)

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
node limit
node limit
Compiler

Compiled 135 to 95 computations (29.6% saved)

end0.0ms (0%)

preprocess48.0ms (0.6%)

Compiler

Compiled 74 to 60 computations (18.9% saved)

Profiling

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