2atan (example 3.5)

Time bar (total: 6.1s)

analyze2.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%8.1%91.9%0%0%0%0
0%0%8.1%91.9%0%0%0%1
50%4.1%4.1%91.9%0%0%0%2
75%6.1%2%91.9%0%0%0%3
87.5%7.1%1%91.9%0%0%0%4
93.8%7.6%0.5%91.9%0%0%0%5
96.9%7.9%0.3%91.9%0%0%0%6
98.4%8%0.1%91.9%0%0%0%7
99.2%8%0.1%91.9%0%0%0%8
99.6%8.1%0%91.9%0%0%0%9
99.8%8.1%0%91.9%0%0%0%10
99.9%8.1%0%91.9%0%0%0%11
100%8.1%0%91.9%0%0%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-add: 0.0ms (0% of total)
ival-atan: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
...c/correct-round.rkt:119:19: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival->: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)

sample1.8s (30.2%)

Results
1.4s7356×1valid
135.0ms607×2valid
29.0ms293×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-atan: 424.0ms (39.1% of total)
...c/correct-round.rkt:119:19: 135.0ms (12.5% of total)
backward-pass: 129.0ms (11.9% of total)
ival-add: 122.0ms (11.3% of total)
ival-sub: 112.0ms (10.3% of total)
ival->: 88.0ms (8.1% of total)
ival-<: 38.0ms (3.5% of total)
ival-and: 22.0ms (2% of total)
const: 14.0ms (1.3% of total)
Bogosity

preprocess85.0ms (1.4%)

Algorithm
egg-herbie
Rules
84×fma-define
66×fma-neg
32×sub-neg
22×unsub-neg
20×associate--r+
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 #s(literal 1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64))) (atan.f64 (neg.f64 N)))
(neg.f64 (-.f64 (atan.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64))) (atan.f64 (neg.f64 N))))
Outputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64))) (atan.f64 (neg.f64 N)))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (neg.f64 N))) (atan.f64 (neg.f64 N)))
(-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) N)) (atan.f64 (neg.f64 N)))
(neg.f64 (-.f64 (atan.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64))) (atan.f64 (neg.f64 N))))
(neg.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) (neg.f64 N))) (atan.f64 (neg.f64 N))))
(neg.f64 (-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) N)) (atan.f64 (neg.f64 N))))
(-.f64 (atan.f64 (neg.f64 N)) (atan.f64 (-.f64 #s(literal 1 binary64) N)))

explain107.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2520-0-(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
00-0-(atan.f64 (+.f64 N #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(atan.f64 N)
00-0-(+.f64 N #s(literal 1 binary64))
00-0-N
Results
66.0ms454×1valid
8.0ms32×2valid
2.0ms26×0valid
Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-atan: 22.0ms (49.5% of total)
backward-pass: 9.0ms (20.3% of total)
ival-add: 7.0ms (15.8% of total)
ival-sub: 6.0ms (13.5% of total)
const: 1.0ms (2.3% of total)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
9.5%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify15.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(atan.f64 N)
cost-diff0
(+.f64 N #s(literal 1 binary64))
cost-diff0
(atan.f64 (+.f64 N #s(literal 1 binary64)))
cost-diff0
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Rules
39×fma-define
32×fma-neg
12×sub-neg
10×distribute-rgt-in
10×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01164
11964
22364
33164
44064
55764
69464
713064
818064
921564
1024164
1124364
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)
Outputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)

localize53.0ms (0.9%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 N #s(literal 1 binary64))
accuracy100.0%
(atan.f64 (+.f64 N #s(literal 1 binary64)))
accuracy100.0%
(atan.f64 N)
accuracy9.5%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
37.0ms227×1valid
3.0ms16×2valid
1.0ms13×0valid
Compiler

Compiled 20 to 7 computations (65% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-atan: 15.0ms (56.9% of total)
backward-pass: 4.0ms (15.2% of total)
ival-sub: 3.0ms (11.4% of total)
ival-add: 3.0ms (11.4% of total)
const: 1.0ms (3.8% of total)

series4.0ms (0.1%)

Counts
4 → 36
Calls
Call 1
Inputs
#<alt (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))>
#<alt (atan.f64 (+.f64 N #s(literal 1 binary64)))>
#<alt (+.f64 N #s(literal 1 binary64))>
#<alt (atan.f64 N)>
Outputs
#<alt (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))>
#<alt (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))>
#<alt (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))>
#<alt (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))>
#<alt (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))>
#<alt (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))>
#<alt (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))>
#<alt (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))>
#<alt (-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) (atan.f64 N))>
#<alt (-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) (atan.f64 N))>
#<alt (-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) (atan.f64 N))>
#<alt (-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) (atan.f64 N))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) N))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) N))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) N))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) N))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) N))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) N))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) N))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) N))>
#<alt (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt N>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt N>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
Calls

12 calls:

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

rewrite213.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
708×log1p-expm1-u
708×expm1-log1p-u
688×prod-diff
322×fma-define
303×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01159
113559
2189059
Stop Event
node limit
Counts
4 → 193
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
(atan.f64 N)
Outputs
(+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (*.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64)))
(+.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (fma.f64 #s(literal -1 binary64) (atan.f64 N) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64))) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 #s(literal 0 binary64) (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))))
(*.f64 #s(literal 1 binary64) (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))
(*.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 1 binary64))
(*.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 N))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))) (neg.f64 (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (atan.f64 N)) #s(literal 3 binary64))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (*.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)))) (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (neg.f64 (atan.f64 N))))
(pow.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))))
(log.f64 (*.f64 (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (exp.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) (exp.f64 (neg.f64 (atan.f64 N)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (atan.f64 N))) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))))
(log.f64 (/.f64 (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 N)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) (exp.f64 (atan.f64 N))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 N)))))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(atan2.f64 (+.f64 N (-.f64 #s(literal 1 binary64) N)) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
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(pow.f64 (atan.f64 N) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (atan.f64 N)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan.f64 N)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 N))))
(cbrt.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (atan.f64 N)))
(log1p.f64 (expm1.f64 (atan.f64 N)))
(exp.f64 (log.f64 (atan.f64 N)))
(exp.f64 (*.f64 (log.f64 (atan.f64 N)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 N))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (atan.f64 N))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 N))) #s(literal 2 binary64)))

simplify140.0ms (2.3%)

Algorithm
egg-herbie
Rules
369×distribute-lft-in
348×fma-neg
330×prod-exp
318×distribute-rgt-in
255×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03876237
17766093
221475909
377105909
Stop Event
node limit
Counts
229 → 220
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) (atan.f64 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) N)
N
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
N
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (neg.f64 (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (*.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64)))
(+.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (fma.f64 #s(literal -1 binary64) (atan.f64 N) (atan.f64 N)))
(+.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64))) (cbrt.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 #s(literal 0 binary64) (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))) (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))))
(*.f64 #s(literal 1 binary64) (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))
(*.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 1 binary64))
(*.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(*.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 N))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))) (neg.f64 (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (atan.f64 N)) #s(literal 3 binary64))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (*.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)))) (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (neg.f64 (atan.f64 N))))
(pow.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))))
(log.f64 (*.f64 (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (exp.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) (exp.f64 (neg.f64 (atan.f64 N)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (atan.f64 N))) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (atan.f64 N))) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))))
(log.f64 (/.f64 (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 N)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) (exp.f64 (atan.f64 N))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 N)))))
(cbrt.f64 (pow.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(atan2.f64 (+.f64 N (-.f64 #s(literal 1 binary64) N)) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(exp.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (atan.f64 (+.f64 N #s(literal 1 binary64))) (neg.f64 (atan.f64 N)))
(fma.f64 #s(literal 1 binary64) (atan.f64 (+.f64 N #s(literal 1 binary64))) (*.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64) (atan.f64 N)))
(fma.f64 #s(literal 1 binary64) (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (atan.f64 N)))
(fma.f64 #s(literal 1 binary64) (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(fma.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (atan.f64 N)))
(fma.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 1 binary64) (fma.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64) (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (atan.f64 N)))
(fma.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 1 binary64) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (neg.f64 (atan.f64 N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (neg.f64 (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (*.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64) (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (atan.f64 N)))
(fma.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64)) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (atan.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (neg.f64 (atan.f64 N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (*.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (atan.f64 N)) (neg.f64 (sqrt.f64 (atan.f64 N))) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64) (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (atan.f64 N)))
(fma.f64 (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (atan.f64 N)))
(fma.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (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 #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(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 #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 (atan.f64 N))) (sqrt.f64 (neg.f64 (atan.f64 N))) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64) (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (atan.f64 N))) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (atan.f64 N)))
(fma.f64 (+.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (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)) #s(literal 2 binary64))) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(*.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))
(pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))
(exp.f64 (log.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 N #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(*.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 N #s(literal 1 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 N #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 N #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) (sqrt.f64 (+.f64 N #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 N #s(literal 2 binary64)) N)))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (+.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) N))
(pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 N #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 N #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 N #s(literal 1 binary64))))
(hypot.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) (sqrt.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(hypot.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) (*.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) (sqrt.f64 N)))
(hypot.f64 (sqrt.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (+.f64 N #s(literal 1 binary64))))
(hypot.f64 (*.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) (sqrt.f64 N)) (sqrt.f64 (+.f64 N #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 N #s(literal 1 binary64))))
(exp.f64 (log1p.f64 N))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 N)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 N)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 N)) #s(literal 2 binary64)))
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (cbrt.f64 N) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (*.f64 (cbrt.f64 N) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (atan.f64 N))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 N))) (cbrt.f64 (exp.f64 (atan.f64 N))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 N)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 N)))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 N)))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 N))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan.f64 N))
(*.f64 (atan.f64 N) #s(literal 1 binary64))
(*.f64 (atan.f64 N) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (atan.f64 N)) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 N)))
(*.f64 (sqrt.f64 (atan.f64 N)) (sqrt.f64 (atan.f64 N)))
(pow.f64 (atan.f64 N) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (atan.f64 N)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan.f64 N)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 N))))
(cbrt.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (atan.f64 N)))
(log1p.f64 (expm1.f64 (atan.f64 N)))
(exp.f64 (log.f64 (atan.f64 N)))
(exp.f64 (*.f64 (log.f64 (atan.f64 N)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 N))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (atan.f64 N))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 N))) #s(literal 2 binary64)))
Outputs
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) N)
N
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 #s(literal 1 binary64) N)
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 #s(literal 1 binary64) N)
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 #s(literal 1 binary64) N)
N
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 #s(literal 1 binary64) N)
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 #s(literal 1 binary64) N)
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 #s(literal 1 binary64) N)
(+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (neg.f64 (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (*.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64)))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(+.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 N)) #s(literal 1 binary64) (atan.f64 N)))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
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(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (+.f64 N #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))
(pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(pow.f64 (cbrt.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64))
(+.f64 #s(literal 1 binary64) N)
(pow.f64 (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) N)
(pow.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) N)
(pow.f64 (/.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(pow.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (+.f64 N #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) N)
(log.f64 (exp.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) N)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 N #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) N)
(cbrt.f64 (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) N)
(expm1.f64 (log1p.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) N)
(hypot.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) (sqrt.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) N)
(hypot.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) (*.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) (sqrt.f64 N)))
(+.f64 #s(literal 1 binary64) N)
(hypot.f64 (sqrt.f64 (*.f64 N (+.f64 N #s(literal 1 binary64)))) (sqrt.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) N)
(hypot.f64 (*.f64 (sqrt.f64 (+.f64 N #s(literal 1 binary64))) (sqrt.f64 N)) (sqrt.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) N)
(log1p.f64 (expm1.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) N)
(exp.f64 (log1p.f64 N))
(+.f64 #s(literal 1 binary64) N)
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 N)) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) N)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 N)) #s(literal 1/3 binary64)))
(+.f64 #s(literal 1 binary64) N)
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 N)) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) N)
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(fma.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (cbrt.f64 N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(fma.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (*.f64 (cbrt.f64 N) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 0 binary64) (atan.f64 N))
(atan.f64 N)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 N))) (cbrt.f64 (exp.f64 (atan.f64 N))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 N)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 N)))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 N)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 N)))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 N))) #s(literal 1 binary64))
(atan.f64 N)
(*.f64 #s(literal 1 binary64) (atan.f64 N))
(atan.f64 N)
(*.f64 (atan.f64 N) #s(literal 1 binary64))
(atan.f64 N)
(*.f64 (atan.f64 N) (log.f64 (exp.f64 #s(literal 1 binary64))))
(atan.f64 N)
(*.f64 (cbrt.f64 (atan.f64 N)) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)))
(atan.f64 N)
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 N)))
(atan.f64 N)
(*.f64 (sqrt.f64 (atan.f64 N)) (sqrt.f64 (atan.f64 N)))
(atan.f64 N)
(pow.f64 (atan.f64 N) #s(literal 1 binary64))
(atan.f64 N)
(pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 3 binary64))
(atan.f64 N)
(pow.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(atan.f64 N)
(pow.f64 (sqrt.f64 (atan.f64 N)) #s(literal 2 binary64))
(atan.f64 N)
(sqrt.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)))
(atan.f64 N)
(log.f64 (exp.f64 (atan.f64 N)))
(atan.f64 N)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 N))))
(atan.f64 N)
(cbrt.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)))
(atan.f64 N)
(expm1.f64 (log1p.f64 (atan.f64 N)))
(atan.f64 N)
(log1p.f64 (expm1.f64 (atan.f64 N)))
(atan.f64 N)
(exp.f64 (log.f64 (atan.f64 N)))
(atan.f64 N)
(exp.f64 (*.f64 (log.f64 (atan.f64 N)) #s(literal 1 binary64)))
(atan.f64 N)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 N))) #s(literal 3 binary64)))
(atan.f64 N)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (atan.f64 N))) #s(literal 1/3 binary64)))
(atan.f64 N)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 N))) #s(literal 2 binary64)))
(atan.f64 N)

eval28.0ms (0.5%)

Compiler

Compiled 3282 to 584 computations (82.2% saved)

prune26.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2173220
Fresh000
Picked011
Done000
Total2174221
Accuracy
99.5%
Counts
221 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
9.5%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
4.1%
(-.f64 (atan.f64 N) (atan.f64 N))
6.4%
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify40.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) N)
cost-diff0
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
cost-diff0
(atan.f64 N)
cost-diff12928
(-.f64 (atan.f64 N) (atan.f64 N))
cost-diff0
(atan.f64 N)
cost-diff0
(+.f64 #s(literal 1 binary64) N)
cost-diff0
(atan.f64 (+.f64 #s(literal 1 binary64) N))
cost-diff0
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
Rules
42×fma-define
38×fma-neg
16×sub-neg
10×distribute-rgt-in
cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015140
126140
238140
354140
472140
589140
698140
7110140
8128140
9135140
10154140
11191140
12224140
13249140
14257140
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
(atan.f64 N)
(-.f64 (atan.f64 N) (atan.f64 N))
(atan.f64 N)
N
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
N
(+.f64 #s(literal 1 binary64) N)
Outputs
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
(atan.f64 N)
(-.f64 (atan.f64 N) (atan.f64 N))
#s(literal 0 binary64)
(atan.f64 N)
N
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
N
(+.f64 #s(literal 1 binary64) N)

localize126.0ms (2.1%)

Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) N)
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
accuracy100.0%
(-.f64 (atan.f64 N) (atan.f64 N))
accuracy100.0%
(atan.f64 N)
accuracy100.0%
(+.f64 #s(literal 1 binary64) N)
accuracy100.0%
(atan.f64 (+.f64 #s(literal 1 binary64) N))
accuracy100.0%
(atan.f64 N)
accuracy100.0%
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
Results
103.0ms256×2valid
Compiler

Compiled 47 to 10 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-atan: 22.0ms (33.8% of total)
backward-pass: 15.0ms (23% of total)
ival-add: 9.0ms (13.8% of total)
ival-sub: 9.0ms (13.8% of total)
ival-fma: 6.0ms (9.2% of total)
ival-atan2: 4.0ms (6.1% of total)
const: 1.0ms (1.5% of total)

series6.0ms (0.1%)

Counts
6 → 61
Calls
Call 1
Inputs
#<alt (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))>
#<alt (atan.f64 (+.f64 #s(literal 1 binary64) N))>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (-.f64 (atan.f64 N) (atan.f64 N))>
#<alt (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))>
#<alt (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))>
Outputs
#<alt (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))>
#<alt (+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))>
#<alt (+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))>
#<alt (+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))>
#<alt (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))>
#<alt #s(literal 1 binary64)>
#<alt N>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt N>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
Calls

18 calls:

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

rewrite118.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
961×log1p-expm1-u
961×expm1-log1p-u
415×log-prod
414×fma-define
212×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015100
1209100
22677100
Stop Event
node limit
Counts
6 → 155
Calls
Call 1
Inputs
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) N)
(-.f64 (atan.f64 N) (atan.f64 N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(*.f64 #s(literal 1 binary64) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(*.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) #s(literal 1 binary64))
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(*.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) #s(literal 1 binary64)))

simplify129.0ms (2.1%)

Algorithm
egg-herbie
Rules
435×distribute-lft-in
386×distribute-rgt-in
282×div-sub
266×sub-neg
259×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03426040
16565425
217995407
362705407
Stop Event
node limit
Counts
216 → 194
Calls
Call 1
Inputs
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))
(+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))
(+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))
(+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
#s(literal 1 binary64)
N
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
N
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(*.f64 #s(literal 1 binary64) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(*.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (pow.f64 (cbrt.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(*.f64 (sqrt.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (sqrt.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(*.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))) (neg.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(/.f64 (-.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(pow.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))))
(log.f64 (*.f64 (exp.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 N)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (exp.f64 (atan.f64 N))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 N)))))
(log.f64 (*.f64 (exp.f64 (atan.f64 N)) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 N))) (exp.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 N))) (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))))))
(cbrt.f64 (pow.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(log1p.f64 (expm1.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(exp.f64 (log.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(exp.f64 (*.f64 (log.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(fma.f64 #s(literal 1 binary64) (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64) (atan.f64 N))
(fma.f64 (atan.f64 N) #s(literal 1 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(fma.f64 (cbrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (atan.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N))
(fma.f64 (cbrt.f64 (atan.f64 N)) (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 N)) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 N)) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(fma.f64 (sqrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (sqrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan.f64 N))
(fma.f64 (sqrt.f64 (atan.f64 N)) (sqrt.f64 (atan.f64 N)) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 #s(literal 0 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (cbrt.f64 (exp.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (cbrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (sqrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(exp.f64 (log.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) N)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(*.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) N)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) (sqrt.f64 (+.f64 #s(literal 1 binary64) N)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) N))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (neg.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) N)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) N))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) N)))
(hypot.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) (hypot.f64 N (sqrt.f64 N)))
(hypot.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 #s(literal 1 binary64) N))))
(hypot.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) (sqrt.f64 N)))
(hypot.f64 (hypot.f64 N (sqrt.f64 N)) (sqrt.f64 (+.f64 #s(literal 1 binary64) N)))
(hypot.f64 (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 #s(literal 1 binary64) N))) (sqrt.f64 (+.f64 #s(literal 1 binary64) N)))
(hypot.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) (sqrt.f64 N)) (sqrt.f64 (+.f64 #s(literal 1 binary64) N)))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) N)))
(exp.f64 (log1p.f64 N))
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (cbrt.f64 N) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64))
#s(literal 0 binary64)
(+.f64 #s(literal 0 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (cbrt.f64 (exp.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+.f64 #s(literal 0 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(+.f64 (fma.f64 N N N) (log.f64 (exp.f64 #s(literal 1 binary64))))
(+.f64 (*.f64 (fma.f64 N N N) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (cbrt.f64 (exp.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(*.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) #s(literal 1 binary64)))
Outputs
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
#s(literal 1 binary64)
N
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 N #s(literal 1 binary64))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 N #s(literal 1 binary64))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 N #s(literal 1 binary64))
N
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 N #s(literal 1 binary64))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 N #s(literal 1 binary64))
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 N #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 2 binary64)))
(fma.f64 N N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 2 binary64)))
(fma.f64 N N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
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(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) #s(literal 2 binary64))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(log.f64 (exp.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) #s(literal 1 binary64)))
(fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))

eval43.0ms (0.7%)

Compiler

Compiled 4003 to 765 computations (80.9% saved)

prune94.0ms (1.5%)

Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New30021321
Fresh000
Picked303
Done101
Total30421325
Accuracy
99.8%
Counts
325 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64))
97.8%
(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 3 binary64))
99.0%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 1 binary64)))
98.1%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) #s(literal 1 binary64)))
99.4%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
99.2%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) #s(literal 1 binary64)))
93.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
99.1%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))) #s(literal 1 binary64)))
95.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
97.8%
(atan2.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
92.8%
(atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
54.8%
(atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))))))
78.8%
(atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
8.0%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
92.3%
(atan2.f64 #s(literal 1 binary64) (exp.f64 (log1p.f64 (fma.f64 N N N))))
56.0%
(atan2.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64))))
99.6%
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
57.4%
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
4.1%
#s(literal 0 binary64)
Compiler

Compiled 510 to 320 computations (37.3% saved)

simplify180.0ms (3%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) N)
cost-diff0
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
cost-diff12864
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64))
cost-diff0
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
cost-diff0
(cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
cost-diff12864
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64))
cost-diff12864
(atan2.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
cost-diff0
(pow.f64 N #s(literal 2 binary64))
cost-diff64
(+.f64 N (pow.f64 N #s(literal 2 binary64)))
cost-diff64
(+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))
cost-diff64
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
cost-diff0
(+.f64 #s(literal 1 binary64) N)
cost-diff0
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
cost-diff0
(log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
cost-diff12800
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
Rules
1103×unsub-neg
677×fma-neg
496×sub-neg
376×associate--r+
361×distribute-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025485
144484
264472
382436
4104436
5157436
6292436
7768436
81338436
91903436
103562436
115787436
126832436
137404436
147680436
157992436
Stop Event
node limit
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
N
(+.f64 #s(literal 1 binary64) N)
#s(literal 0 binary64)
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))
(+.f64 N (pow.f64 N #s(literal 2 binary64)))
N
(pow.f64 N #s(literal 2 binary64))
#s(literal 2 binary64)
(atan2.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64))
(cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
N
(+.f64 #s(literal 1 binary64) N)
#s(literal 3 binary64)
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
N
(+.f64 #s(literal 1 binary64) N)
#s(literal 2 binary64)
Outputs
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(+.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 0 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(+.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 0 binary64))
#s(literal 1 binary64)
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
N
(+.f64 #s(literal 1 binary64) N)
#s(literal 0 binary64)
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(+.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 0 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(+.f64 N (pow.f64 N #s(literal 2 binary64)))
(fma.f64 N N N)
N
(pow.f64 N #s(literal 2 binary64))
#s(literal 2 binary64)
(atan2.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(+.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 0 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
N
(+.f64 #s(literal 1 binary64) N)
#s(literal 3 binary64)
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(+.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 0 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(+.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 0 binary64))
#s(literal 1 binary64)
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
N
(+.f64 #s(literal 1 binary64) N)
#s(literal 2 binary64)

localize100.0ms (1.6%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1 binary64) N)
accuracy99.8%
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
accuracy99.1%
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) N)
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
accuracy99.1%
(cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
accuracy98.8%
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64))
accuracy100.0%
(pow.f64 N #s(literal 2 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))
accuracy100.0%
(+.f64 N (pow.f64 N #s(literal 2 binary64)))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) N)
accuracy100.0%
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
accuracy100.0%
(log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
Results
67.0ms256×0valid
Compiler

Compiled 147 to 20 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-pow: 14.0ms (34.4% of total)
ival-atan2: 7.0ms (17.2% of total)
ival-expm1: 6.0ms (14.7% of total)
ival-add: 4.0ms (9.8% of total)
ival-fma: 3.0ms (7.4% of total)
ival-cbrt: 2.0ms (4.9% of total)
ival-log1p: 2.0ms (4.9% of total)
ival-sqrt: 2.0ms (4.9% of total)
const: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

series97.0ms (1.6%)

Counts
11 → 112
Calls
Call 1
Inputs
#<alt (expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))>
#<alt (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))>
#<alt (+.f64 N (pow.f64 N #s(literal 2 binary64)))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (atan2.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))>
#<alt (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))>
#<alt (pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))>
Outputs
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt N>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) N))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/9 binary64) N))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 #s(literal 2/9 binary64) (*.f64 #s(literal -13/81 binary64) N))))))>
#<alt (*.f64 N (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (*.f64 N (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 2 binary64))))))))>
#<alt (*.f64 N (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 2 binary64)))))))))>
#<alt (*.f64 N (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 5/81 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 9 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 8 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 N (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 N (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 N (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 N #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 N #s(literal 3 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 N (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 5 binary64)))))) (*.f64 #s(literal -5/81 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 8 binary64))))))) (pow.f64 N #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 N #s(literal 3 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))>
Calls

33 calls:

TimeVariablePointExpression
32.0ms
N
@0
(log (+ 1 (atan2 1 (+ (* N (+ 1 N)) 1))))
28.0ms
N
@inf
(log (+ 1 (atan2 1 (+ (* N (+ 1 N)) 1))))
20.0ms
N
@-inf
(log (+ 1 (atan2 1 (+ (* N (+ 1 N)) 1))))
2.0ms
N
@inf
(cbrt (+ (* N (+ 1 N)) 1))
2.0ms
N
@-inf
(cbrt (+ (* N (+ 1 N)) 1))

rewrite175.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
1036×log1p-expm1-u
1035×expm1-log1p-u
607×fma-define
294×fma-neg
114×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024274
1316265
23579265
Stop Event
node limit
Counts
11 → 426
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))
(+.f64 N (pow.f64 N #s(literal 2 binary64)))
(pow.f64 N #s(literal 2 binary64))
(atan2.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64))
(cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal -1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (cbrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (pow.f64 (cbrt.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (sqrt.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(pow.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(exp.f64 (log.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal -1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (cbrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
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(*.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
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(log.f64 (exp.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 1 binary64)))

simplify337.0ms (5.6%)

Algorithm
egg-herbie
Rules
689×times-frac
431×distribute-lft-in
407×distribute-rgt-in
248×fma-neg
241×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058319255
1119518711
2315817575
Stop Event
node limit
Counts
538 → 373
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
N
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) N))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/9 binary64) N))))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 #s(literal 2/9 binary64) (*.f64 #s(literal -13/81 binary64) N))))))
(*.f64 N (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 N (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 2 binary64))))))))
(*.f64 N (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 2 binary64)))))))))
(*.f64 N (+.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 6 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 5/81 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 9 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 8 binary64)))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 2 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 N (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 N (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 N (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 N #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 N #s(literal 3 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 N (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 5 binary64)))))) (*.f64 #s(literal -5/81 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 8 binary64))))))) (pow.f64 N #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 N #s(literal 3 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))
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(fma.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (*.f64 (cbrt.f64 N) (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (*.f64 (cbrt.f64 N) N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (cbrt.f64 (pow.f64 N #s(literal 4 binary64))) (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (pow.f64 N #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (fma.f64 N N N)) (pow.f64 (cbrt.f64 (fma.f64 N N N)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 N N N)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 N)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 N)) (pow.f64 N #s(literal 2 binary64)))
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 N #s(literal 2 binary64)))
(fma.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N (pow.f64 N #s(literal 4 binary64))) (pow.f64 N #s(literal 3 binary64)))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 2 binary64)))
(fma.f64 (-.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N (pow.f64 N #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64))) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 N) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 N))) (*.f64 (sqrt.f64 N) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 N))) #s(literal 1 binary64))
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(fma.f64 (*.f64 N (hypot.f64 #s(literal 1 binary64) (sqrt.f64 N))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 N)) #s(literal 1 binary64))
(fma.f64 (*.f64 N (pow.f64 (cbrt.f64 N) #s(literal 2 binary64))) (cbrt.f64 N) (+.f64 #s(literal 1 binary64) N))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (hypot.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 N)) N)) (cbrt.f64 (hypot.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 N)) N)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (hypot.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 N)) N) #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 N)) N) #s(literal 1/3 binary64)))
(/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))) (cbrt.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64))))
(pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 N)) N)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(exp.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (fma.f64 N N N))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (fma.f64 N N N))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal -1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (cbrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (cbrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(log.f64 (exp.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 1 binary64)))
Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
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(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
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(log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
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(fma.f64 N N N)
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(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
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(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
N
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
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(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) N))
(+.f64 #s(literal 1 binary64) (*.f64 N #s(literal 1/3 binary64)))
(fma.f64 N #s(literal 1/3 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/9 binary64) N))))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N #s(literal 2/9 binary64)))))
(fma.f64 N (fma.f64 N #s(literal 2/9 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1/3 binary64) (*.f64 N (+.f64 #s(literal 2/9 binary64) (*.f64 #s(literal -13/81 binary64) N))))))
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(*.f64 N (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
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(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(fabs.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(exp.f64 (log.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))

eval117.0ms (1.9%)

Compiler

Compiled 12103 to 2185 computations (81.9% saved)

prune126.0ms (2.1%)

Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New66721688
Fresh11516
Picked415
Done000
Total68227709
Accuracy
99.9%
Counts
709 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
98.9%
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 2 binary64))
98.0%
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3/2 binary64))) #s(literal 2 binary64))
97.8%
(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 3 binary64))
95.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
97.8%
(atan2.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))
92.8%
(atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
78.7%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 N (pow.f64 N #s(literal 4 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
99.0%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)))))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (*.f64 N N))))
78.8%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (sqrt.f64 (pow.f64 N #s(literal 4 binary64))))))
92.2%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))))))
55.9%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (cbrt.f64 (pow.f64 N #s(literal 6 binary64))))))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) N) N)))
99.4%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))))
8.0%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
98.0%
(atan2.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) N)) #s(literal 2 binary64))))
6.5%
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
99.0%
(*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
98.4%
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (cbrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
98.3%
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (cbrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
98.9%
(expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 2 binary64)))
99.5%
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
57.5%
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 3 binary64))))
57.4%
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
4.1%
#s(literal 0 binary64)
Compiler

Compiled 754 to 438 computations (41.9% saved)

simplify129.0ms (2.1%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
cost-diff0
(pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64))
cost-diff6528
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff19392
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff6656
(+.f64 N (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)))
cost-diff6656
(+.f64 #s(literal 1 binary64) (+.f64 N (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N))))
cost-diff6656
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)))))
cost-diff12928
(*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N))
cost-diff0
(-.f64 N (pow.f64 N #s(literal 3 binary64)))
cost-diff320
(/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))
cost-diff320
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N)))
cost-diff320
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
cost-diff0
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
cost-diff-6272
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
cost-diff-6272
(log1p.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
cost-diff0
(+.f64 #s(literal 1 binary64) N)
cost-diff6528
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
Rules
966×fma-neg
390×associate-/r*
279×fma-define
265×sub-neg
263×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035599
172573
2129556
3312520
4786520
51826520
63553520
75965520
87778520
Stop Event
node limit
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(log1p.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
N
(+.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))
(-.f64 N (pow.f64 N #s(literal 3 binary64)))
N
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 N (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N))))
(+.f64 N (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)))
N
(*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N))
(*.f64 N (sqrt.f64 N))
(sqrt.f64 N)
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
N
(+.f64 #s(literal 1 binary64) N)
#s(literal 1/4 binary64)
#s(literal 2 binary64)
Outputs
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(+.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 0 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(log1p.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(+.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 0 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(fma.f64 N N N)
N
(+.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(+.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 0 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(fma.f64 N N N)
(-.f64 N (pow.f64 N #s(literal 3 binary64)))
N
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)))))
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(+.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 0 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 N (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(+.f64 N (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(fma.f64 N N N)
N
(*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N))
(*.f64 N (*.f64 (sqrt.f64 N) (sqrt.f64 N)))
(*.f64 N N)
(*.f64 N (sqrt.f64 N))
(pow.f64 (sqrt.f64 N) #s(literal 3 binary64))
(sqrt.f64 N)
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(+.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 0 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(+.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 0 binary64))
#s(literal 1 binary64)
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
N
(+.f64 #s(literal 1 binary64) N)
#s(literal 1/4 binary64)
#s(literal 2 binary64)

localize135.0ms (2.2%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
accuracy99.2%
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy99.1%
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy100.0%
(+.f64 N (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)))
accuracy99.6%
(*.f64 N (sqrt.f64 N))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)))))
accuracy99.4%
(*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N)))
accuracy100.0%
(-.f64 N (pow.f64 N #s(literal 3 binary64)))
accuracy99.6%
(/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
accuracy100.0%
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
accuracy100.0%
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
accuracy100.0%
(log1p.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
Results
90.0ms256×0valid
Compiler

Compiled 205 to 30 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-pow: 23.0ms (39.3% of total)
ival-atan2: 8.0ms (13.7% of total)
ival-add: 7.0ms (12% of total)
ival-mult: 7.0ms (12% of total)
ival-fma: 3.0ms (5.1% of total)
ival-sub: 3.0ms (5.1% of total)
ival-div: 2.0ms (3.4% of total)
ival-expm1: 2.0ms (3.4% of total)
ival-log1p: 2.0ms (3.4% of total)
ival-sqrt: 2.0ms (3.4% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series102.0ms (1.7%)

Counts
17 → 186
Calls
Call 1
Inputs
#<alt (expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))>
#<alt (log1p.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N)))>
#<alt (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))>
#<alt (-.f64 N (pow.f64 N #s(literal 3 binary64)))>
#<alt (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 N (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N))))>
#<alt (+.f64 N (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)))>
#<alt (pow.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))>
#<alt (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 N (sqrt.f64 N))>
Outputs
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))) (*.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))) (*.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))) (*.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))) (*.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt N>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt N>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 2 binary64)))))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 2 binary64)))))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) N)))>
#<alt (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) N)))>
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#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))>
#<alt (pow.f64 N #s(literal 2 binary64))>
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#<alt N>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
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#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) N)))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))>
#<alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))) #s(literal 1/4 binary64))>
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#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) N)>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (pow.f64 N #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (pow.f64 N #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 N #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 N #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 N #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 N #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 N #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 N #s(literal 3 binary64)))>
#<alt (sqrt.f64 (pow.f64 N #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 N #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 N #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 N #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 N #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

48 calls:

TimeVariablePointExpression
38.0ms
N
@0
(pow (atan2 1 (+ (* N (+ 1 N)) 1)) 1/4)
20.0ms
N
@-inf
(pow (atan2 1 (+ (* N (+ 1 N)) 1)) 1/4)
18.0ms
N
@inf
(pow (atan2 1 (+ (* N (+ 1 N)) 1)) 1/4)
3.0ms
N
@-inf
(+ 1 (+ N (* (* N (sqrt N)) (sqrt N))))
1.0ms
N
@-inf
(* (* N (sqrt N)) (sqrt N))

rewrite259.0ms (4.3%)

Algorithm
batch-egg-rewrite
Rules
937×log1p-expm1-u
210×expm1-log1p-u
201×pow1
194×add-exp-log
194×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035476
1607375
26733375
Stop Event
node limit
Counts
17 → 572
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(log1p.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))
(-.f64 N (pow.f64 N #s(literal 3 binary64)))
(*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)))))
(+.f64 #s(literal 1 binary64) (+.f64 N (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N))))
(+.f64 N (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)))
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(*.f64 N (sqrt.f64 N))
Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal -1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3/4 binary64)) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/8 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/8 binary64)) #s(literal 4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (cbrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64)))
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(exp.f64 (*.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
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(*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))))
(sqrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(fabs.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 N (-.f64 #s(literal 1 binary64) N)) (-.f64 (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N)))
(*.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(*.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
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(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N)))))
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(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal 2 binary64))))
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(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64)))
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(exp.f64 (log1p.f64 (fma.f64 N N N)))
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(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
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(fma.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 N #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(pow.f64 N #s(literal 3/2 binary64))
(pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 N) #s(literal 3 binary64))
(pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 N #s(literal 3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 N #s(literal 3 binary64)))
(fabs.f64 (pow.f64 N #s(literal 3/2 binary64)))
(log.f64 (exp.f64 (pow.f64 N #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 N #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 N #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 N #s(literal 3/2 binary64))))
(exp.f64 (log.f64 (pow.f64 N #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 N #s(literal 3/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 N) #s(literal 3/2 binary64)))

simplify295.0ms (4.9%)

Algorithm
egg-herbie
Rules
714×fma-neg
349×div-sub
303×distribute-lft-neg-in
262×sub-neg
262×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069426575
1149826115
2461824499
Stop Event
node limit
Counts
758 → 397
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))) (*.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))) (*.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))) (*.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))) (*.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
N
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
N
(*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 2 binary64)))))
(*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 2 binary64)))))
(*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))
(*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(pow.f64 N #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) N)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
N
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))) #s(literal 1/4 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(pow.f64 N #s(literal 2 binary64))
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(pow.f64 (hypot.f64 #s(literal 1 binary64) (hypot.f64 N (sqrt.f64 N))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(fma.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 N N N)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 N N N)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 2 binary64)))
(fma.f64 (hypot.f64 N (sqrt.f64 N)) (hypot.f64 N (sqrt.f64 N)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 N #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(pow.f64 N #s(literal 3/2 binary64))
(pow.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 N) #s(literal 3 binary64))
(pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 N #s(literal 3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 N #s(literal 3 binary64)))
(fabs.f64 (pow.f64 N #s(literal 3/2 binary64)))
(log.f64 (exp.f64 (pow.f64 N #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 N #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 N #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 N #s(literal 3/2 binary64))))
(exp.f64 (log.f64 (pow.f64 N #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 N #s(literal 3/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 N) #s(literal 3/2 binary64)))
Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))))
(log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))))
(log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))))
(log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))))
(log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))))
(log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))))
(log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))))
(log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))))
(log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (-.f64 #s(literal 1 binary64) N))) (/.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))) (*.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))) (*.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))) (*.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))) (*.f64 #s(literal -1 binary64) (/.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(pow.f64 N #s(literal 2 binary64))
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(fma.f64 N N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
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#s(literal 1 binary64)
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(pow.f64 N #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (pow.f64 N #s(literal 3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3/2 binary64))
(sqrt.f64 (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3/2 binary64))
(fabs.f64 (pow.f64 N #s(literal 3/2 binary64)))
(sqrt.f64 (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3/2 binary64))
(log.f64 (exp.f64 (pow.f64 N #s(literal 3/2 binary64))))
(sqrt.f64 (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 N #s(literal 3/2 binary64)))))
(sqrt.f64 (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3/2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3/2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 N #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 N #s(literal 3/2 binary64))))
(sqrt.f64 (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3/2 binary64))
(exp.f64 (log.f64 (pow.f64 N #s(literal 3/2 binary64))))
(sqrt.f64 (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3/2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 N #s(literal 3/2 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3/2 binary64))
(exp.f64 (*.f64 (log.f64 N) #s(literal 3/2 binary64)))
(sqrt.f64 (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3/2 binary64))

eval365.0ms (6%)

Compiler

Compiled 9863 to 2242 computations (77.3% saved)

prune81.0ms (1.3%)

Pruning

29 alts after pruning (25 fresh and 4 done)

PrunedKeptTotal
New5507557
Fresh31821
Picked235
Done011
Total55529584
Accuracy
100.0%
Counts
584 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
98.6%
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
98.9%
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 2 binary64))
98.0%
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3/2 binary64))) #s(literal 2 binary64))
97.8%
(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 3 binary64))
95.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
97.8%
(atan2.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))
92.8%
(atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
78.7%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 N (pow.f64 N #s(literal 4 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
95.3%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
99.2%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (*.f64 (pow.f64 N #s(literal 3/2 binary64)) (sqrt.f64 N)))))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (*.f64 N N))))
78.8%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (sqrt.f64 (pow.f64 N #s(literal 4 binary64))))))
92.2%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))))))
55.9%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (cbrt.f64 (pow.f64 N #s(literal 6 binary64))))))
99.3%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (-.f64 N (pow.f64 N #s(literal 3 binary64))))))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) N) N)))
8.0%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
6.5%
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
99.3%
(*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3/4 binary64)) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
99.0%
(*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
96.6%
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64))) #s(literal 4 binary64)))
98.4%
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (cbrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
98.3%
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (cbrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
98.9%
(expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 2 binary64)))
99.5%
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
57.4%
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
4.1%
#s(literal 0 binary64)
Compiler

Compiled 1101 to 427 computations (61.2% saved)

regimes28.0ms (0.5%)

Counts
53 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) N) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (*.f64 N N))))
(-.f64 (atan.f64 N) (atan.f64 N))
(atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (-.f64 N (pow.f64 N #s(literal 3 binary64))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (cbrt.f64 (pow.f64 N #s(literal 6 binary64))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (sqrt.f64 (pow.f64 N #s(literal 4 binary64))))))
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (*.f64 (pow.f64 N #s(literal 3/2 binary64)) (sqrt.f64 N)))))
(atan2.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 2 binary64))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 N (pow.f64 N #s(literal 4 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (exp.f64 (log1p.f64 (fma.f64 N N N))))
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
(atan2.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 3 binary64))))
(atan2.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 N (+.f64 N #s(literal 1 binary64)) #s(literal -1 binary64))))
(pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) #s(literal 3 binary64))))
(expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 3/4 binary64)) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 2 binary64))))))
(atan2.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) N)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/4 binary64))) #s(literal 4 binary64)))
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (cbrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (cbrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
Outputs
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
Calls

2 calls:

13.0ms
N
11.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
99.6%1N
99.6%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes16.0ms (0.3%)

Counts
27 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) N) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (*.f64 N N))))
(-.f64 (atan.f64 N) (atan.f64 N))
(atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (pow.f64 N #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (-.f64 N (pow.f64 N #s(literal 3 binary64))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (cbrt.f64 (pow.f64 N #s(literal 6 binary64))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (sqrt.f64 (pow.f64 N #s(literal 4 binary64))))))
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (*.f64 (pow.f64 N #s(literal 3/2 binary64)) (sqrt.f64 N)))))
(atan2.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 2 binary64))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 N (pow.f64 N #s(literal 4 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (exp.f64 (log1p.f64 (fma.f64 N N N))))
Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
Calls

2 calls:

8.0ms
N
7.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
99.5%1N
99.5%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) N) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (*.f64 N N))))
(-.f64 (atan.f64 N) (atan.f64 N))
(atan2.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
Calls

2 calls:

4.0ms
N
3.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
99.5%1N
99.5%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
Calls

1 calls:

2.0ms
N
Results
AccuracySegmentsBranch
8.0%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Outputs
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Calls

1 calls:

2.0ms
N
Results
AccuracySegmentsBranch
6.5%1N
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

1 calls:

2.0ms
N
Results
AccuracySegmentsBranch
4.1%1N
Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
019117
126117
Stop Event
saturated
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)
Outputs
(expm1.f64 (log1p.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)

soundness400.0ms (6.6%)

Rules
961×log1p-expm1-u
961×expm1-log1p-u
708×log1p-expm1-u
708×expm1-log1p-u
688×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03876237
17766093
221475909
377105909
015100
1209100
22677100
01159
113559
2189059
Stop Event
fuel
node limit
node limit
node limit
Compiler

Compiled 191 to 59 computations (69.1% saved)

preprocess47.0ms (0.8%)

Compiler

Compiled 112 to 52 computations (53.6% saved)

end0.0ms (0%)

Profiling

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