2atan (example 3.5)

Time bar (total: 5.6s)

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 (31.4%)

Results
1.3s7370×1valid
140.0ms625×2valid
21.0ms261×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-atan: 438.0ms (39.4% of total)
...c/correct-round.rkt:119:19: 162.0ms (14.6% of total)
ival-add: 130.0ms (11.7% of total)
backward-pass: 124.0ms (11.1% of total)
ival-sub: 94.0ms (8.5% of total)
ival->: 91.0ms (8.2% of total)
ival-<: 36.0ms (3.2% of total)
ival-and: 23.0ms (2.1% of total)
const: 14.0ms (1.3% of total)
Bogosity

preprocess100.0ms (1.8%)

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)))

explain108.0ms (1.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-0-(-.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
69.0ms464×1valid
6.0ms30×2valid
1.0ms18×0valid
Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-atan: 20.0ms (47.2% of total)
backward-pass: 9.0ms (21.2% of total)
ival-add: 7.0ms (16.5% of total)
ival-sub: 6.0ms (14.2% of total)
const: 1.0ms (2.4% 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)

localize66.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 8 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))
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))
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)
Results
37.0ms232×1valid
3.0ms15×2valid
1.0ms0valid
Compiler

Compiled 20 to 7 computations (65% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-atan: 10.0ms (47.9% of total)
backward-pass: 4.0ms (19.2% of total)
ival-add: 3.0ms (14.4% of total)
ival-sub: 3.0ms (14.4% of total)
const: 1.0ms (4.8% 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 N)>
#<alt (atan.f64 (+.f64 N #s(literal 1 binary64)))>
#<alt (+.f64 N #s(literal 1 binary64))>
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)

rewrite219.0ms (3.9%)

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 N)
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
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)))
(log1p.f64 (expm1.f64 (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))
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(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))

simplify160.0ms (2.9%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
03876237
17766093
221465909
377075909
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 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)))
(+.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))
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 (fma.f64 N N #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 (+.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)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N 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 N #s(literal -1 binary64))))
(/.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 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) (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 (+.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)))
(/.f64 (fma.f64 N N #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 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 (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 (+.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)))
(/.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 N #s(literal -1 binary64))))
(/.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 N #s(literal -1 binary64))))
(/.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 N #s(literal -1 binary64))))
(/.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)

eval28.0ms (0.5%)

Compiler

Compiled 3282 to 585 computations (82.2% saved)

prune28.0ms (0.5%)

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))
6.3%
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
Compiler

Compiled 31 to 20 computations (35.5% saved)

localize161.0ms (2.9%)

Algorithm
egg-herbie
Localize:

Found 18 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))
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))
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)
Results
113.0ms256×2valid
Compiler

Compiled 47 to 10 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-atan: 18.0ms (30.3% of total)
backward-pass: 14.0ms (23.5% of total)
ival-fma: 12.0ms (20.2% of total)
ival-add: 8.0ms (13.5% of total)
ival-sub: 4.0ms (6.7% of total)
ival-atan2: 4.0ms (6.7% of total)
const: 1.0ms (1.7% 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
(+ (atan (+ 1 N)) (atan N))

rewrite142.0ms (2.5%)

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)))

simplify132.0ms (2.4%)

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))

eval50.0ms (0.9%)

Compiler

Compiled 4003 to 765 computations (80.9% saved)

prune50.0ms (0.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New30615321
Fresh000
Picked303
Done101
Total31015325
Accuracy
99.8%
Counts
325 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(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)))
99.3%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.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)))
98.1%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (*.f64 (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)))
99.3%
(atan2.f64 #s(literal 1 binary64) (fma.f64 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)))) #s(literal 1 binary64)))
93.4%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (exp.f64 (log1p.f64 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)))
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))))
7.9%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
95.9%
(atan2.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
97.8%
(*.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)))))
54.3%
(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 370 to 224 computations (39.5% saved)

localize290.0ms (5.2%)

Algorithm
egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
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
(cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
cost-diff12864
(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))
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
(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))
cost-diff12864
(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)))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
cost-diff0
(pow.f64 N #s(literal 2 binary64))
cost-diff320
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
cost-diff320
(atan2.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
cost-diff-6272
(*.f64 N (+.f64 #s(literal 1 binary64) N))
cost-diff-6272
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
cost-diff-6272
(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)
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)))
accuracy98.9%
(cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
accuracy98.9%
(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))
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)))
accuracy99.5%
(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))
accuracy54.4%
(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)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) N)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
accuracy99.9%
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) N)
accuracy100.0%
(*.f64 N (+.f64 #s(literal 1 binary64) N))
accuracy100.0%
(+.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))))
Rules
711×cube-prod
604×distribute-lft-out
545×cube-div
534×*-commutative
513×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026427
152427
2101412
3207412
4322412
51413412
63418412
74655412
85472412
96256412
106529412
116691412
126832412
Stop Event
node limit
Calls
Call 1
Inputs
(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)
#s(literal 0 binary64)
(atan2.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(literal 1 binary64)
(*.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))
N
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
(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)))
(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)))
#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 (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))
(cbrt.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 3 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)))
#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))
(+.f64 N (pow.f64 N #s(literal 2 binary64)))
(fma.f64 N N N)
N
(+.f64 #s(literal 1 binary64) N)
#s(literal 0 binary64)
(atan2.f64 #s(literal 1 binary64) (*.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) (fma.f64 N N N))
#s(literal 1 binary64)
(*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(+.f64 N (pow.f64 N #s(literal 2 binary64)))
(fma.f64 N N N)
(pow.f64 N #s(literal 2 binary64))
N
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
(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)))
(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)))
#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 (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))
(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))))
(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 3 binary64)
Results
93.0ms256×0valid
Compiler

Compiled 144 to 21 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-pow: 38.0ms (60.3% of total)
ival-div: 5.0ms (7.9% of total)
ival-atan2: 5.0ms (7.9% of total)
ival-add: 4.0ms (6.3% of total)
ival-mult: 4.0ms (6.3% of total)
ival-fma: 3.0ms (4.8% of total)
ival-cbrt: 3.0ms (4.8% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series26.0ms (0.5%)

Counts
12 → 87
Calls
Call 1
Inputs
#<alt (atan2.f64 #s(literal 1 binary64) (+.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 (*.f64 N (+.f64 #s(literal 1 binary64) N))>
#<alt (atan2.f64 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) N))>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (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)))>
#<alt (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))>
#<alt (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))>
#<alt (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))>
#<alt (pow.f64 N #s(literal 2 binary64))>
Outputs
#<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 (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 (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) 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 (pow.f64 N #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) N)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) N) N)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) N) N)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) N) N)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 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 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))) #s(literal 3 binary64))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))) #s(literal 3 binary64))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))) #s(literal 3 binary64))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))) #s(literal 3 binary64))>
#<alt (pow.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))))) #s(literal 3 binary64))>
#<alt (pow.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))))) #s(literal 3 binary64))>
#<alt (pow.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))))) #s(literal 3 binary64))>
#<alt (pow.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))))) #s(literal 3 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 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))>
#<alt (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))>
#<alt (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))>
#<alt (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))>
#<alt (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))>
#<alt (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))>
#<alt (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))>
#<alt (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))>
#<alt (cbrt.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 (cbrt.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 (cbrt.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 (cbrt.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

36 calls:

TimeVariablePointExpression
7.0ms
N
@0
(cbrt (atan2 1 (+ (* N (+ 1 N)) 1)))
2.0ms
N
@inf
(cbrt (atan2 1 (+ (* N (+ 1 N)) 1)))
2.0ms
N
@-inf
(cbrt (atan2 1 (+ (* N (+ 1 N)) 1)))
1.0ms
N
@inf
(pow (atan2 1 (+ (* N (+ 1 N)) 1)) 3)
1.0ms
N
@-inf
(pow (atan2 1 (+ (* N (+ 1 N)) 1)) 3)

rewrite219.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
800×log1p-expm1-u
800×expm1-log1p-u
738×fma-define
338×fma-neg
198×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025277
1375262
24096262
Stop Event
node limit
Counts
12 → 452
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (+.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)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(atan2.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
(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)))
(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))
(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))
(cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))
(pow.f64 N #s(literal 2 binary64))
Outputs
(-.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 (pow.f64 (cbrt.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 (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 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 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 1/6 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 (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 #s(literal 1 binary64) #s(literal 1/3 binary64)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 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 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 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.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 3 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 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 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 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (*.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 binary64)) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (*.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)) (pow.f64 (cbrt.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 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(*.f64 (*.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)) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 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 (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 (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 (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 3/2 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 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)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 1/3 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 #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 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 N)) N) (hypot.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 N)) N))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.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 #s(literal 1 binary64) (/.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)) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))))
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(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)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.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 binary64))
(*.f64 #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)))) #s(literal 1 binary64))
(*.f64 (cbrt.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 (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 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (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 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.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 (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 1/6 binary64)) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 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 (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 1/3 binary64)) (cbrt.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(*.f64 (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 1/3 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 1/3 binary64)))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/3 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 1/9 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 binary64))
(pow.f64 (cbrt.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 1/6 binary64)) #s(literal 2 binary64))
(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)))
(log.f64 (exp.f64 (cbrt.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 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(exp.f64 (log.f64 (cbrt.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 1/3 binary64)))
(exp.f64 (*.f64 (log.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 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 N #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(*.f64 N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 N #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (*.f64 (cbrt.f64 N) N))
(*.f64 (cbrt.f64 (pow.f64 N #s(literal 4 binary64))) (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 N #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) N))
(*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N))
(*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) #s(literal 2 binary64))) (cbrt.f64 N))
(sqrt.f64 (pow.f64 N #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 N #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 N #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 N #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 N #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 N #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal 1 binary64)))

simplify218.0ms (3.9%)

Algorithm
egg-herbie
Rules
353×distribute-lft-in
340×distribute-rgt-in
286×cancel-sign-sub-inv
278×exp-prod
248×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06114294986234
112094294984403
230994294982170
Stop Event
node limit
Counts
539 → 401
Calls
Call 1
Inputs
(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)
(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
(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) N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(pow.f64 N #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) N)
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(/.f64 (+.f64 #s(literal 1 binary64) N) 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) (+.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)))))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.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))))) #s(literal 3 binary64))
(pow.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))))) #s(literal 3 binary64))
(pow.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))))) #s(literal 3 binary64))
(pow.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))))) #s(literal 3 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)))))
(cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
(cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))
(cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))
(cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))
(cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))
(cbrt.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))))))
(cbrt.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))))))
(cbrt.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))))))
(cbrt.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))))))
(-.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 (pow.f64 (cbrt.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 (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))))
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(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 6 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 3 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 3 binary64)))))
(cbrt.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 3 binary64)) #s(literal 3 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 3 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 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 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 3 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 (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 (pow.f64 (cbrt.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 (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 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 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 1/6 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 (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 #s(literal 1 binary64) #s(literal 1/3 binary64)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 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 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 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.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 3 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 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 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 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (*.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 binary64)) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
(*.f64 (*.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)) (pow.f64 (cbrt.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 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(*.f64 (*.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)) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 binary64))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 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)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.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 binary64))
(*.f64 #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)))) #s(literal 1 binary64))
(*.f64 (cbrt.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 (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 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))) (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 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.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 (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 1/6 binary64)) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 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 (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 1/3 binary64)) (cbrt.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(*.f64 (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 1/3 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 1/3 binary64)))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))) #s(literal 1/3 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 1/9 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 binary64))
(pow.f64 (cbrt.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 1/6 binary64)) #s(literal 2 binary64))
(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)))
(log.f64 (exp.f64 (cbrt.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 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
(exp.f64 (log.f64 (cbrt.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 1/3 binary64)))
(exp.f64 (*.f64 (log.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 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 N #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))
(*.f64 N N)
(*.f64 (pow.f64 N #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 N #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (*.f64 (cbrt.f64 N) N))
(*.f64 (cbrt.f64 (pow.f64 N #s(literal 4 binary64))) (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 N #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) N))
(*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N))
(*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) #s(literal 2 binary64))) (cbrt.f64 N))
(sqrt.f64 (pow.f64 N #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 N #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 N #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 N #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 N #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 N #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 N)) #s(literal 1 binary64)))
Outputs
(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) (fma.f64 N N 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) (fma.f64 N N 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) (fma.f64 N N 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) (fma.f64 N N 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) (+.f64 #s(literal 1 binary64) (fma.f64 N N 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) (+.f64 #s(literal 1 binary64) (fma.f64 N N 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) (+.f64 #s(literal 1 binary64) (fma.f64 N N 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) (+.f64 #s(literal 1 binary64) (fma.f64 N 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)
(+.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)))
(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))))))
(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))
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)
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eval106.0ms (1.9%)

Compiler

Compiled 10626 to 2018 computations (81% saved)

prune116.0ms (2.1%)

Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New65322675
Fresh8210
Picked325
Done000
Total66426690
Accuracy
99.9%
Counts
690 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(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 3/2 binary64))
99.0%
(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))
95.5%
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 2 binary64))
97.8%
(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 3 binary64))
99.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
77.2%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (cbrt.f64 (fma.f64 N N N)) (cbrt.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) #s(literal 4 binary64))) #s(literal 1 binary64)))
99.4%
(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))))
77.6%
(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)))))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) N)))
99.0%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
99.3%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.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 N (+.f64 #s(literal 1 binary64) N))))
99.1%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))))))
7.9%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
95.5%
(atan2.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
95.9%
(atan2.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
74.1%
(atan2.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (pow.f64 N #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
95.9%
(atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
6.3%
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
97.1%
(*.f64 (*.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)) (pow.f64 (cbrt.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 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
98.1%
(*.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))) (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))))
54.2%
(cbrt.f64 (pow.f64 (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))) #s(literal 3 binary64)))
54.2%
(cbrt.f64 (pow.f64 (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))) #s(literal 3 binary64)))
54.3%
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))
54.3%
(cbrt.f64 (*.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)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
4.1%
#s(literal 0 binary64)
Compiler

Compiled 734 to 428 computations (41.7% saved)

localize258.0ms (4.6%)

Algorithm
egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
cost-diff6400
(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))
cost-diff6400
(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)))
cost-diff6400
(pow.f64 (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))) #s(literal 3 binary64))
cost-diff19264
(cbrt.f64 (pow.f64 (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))) #s(literal 3 binary64)))
cost-diff0
(sqrt.f64 N)
cost-diff6592
(*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N))
cost-diff6912
(*.f64 (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
cost-diff6912
(atan2.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
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
(pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) N)
cost-diff6592
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))
cost-diff0
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
cost-diff0
(pow.f64 N #s(literal 2 binary64))
cost-diff64
(+.f64 (pow.f64 N #s(literal 2 binary64)) N)
cost-diff64
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) N))
cost-diff64
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) N)))
accuracy99.6%
(/.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)))
accuracy99.5%
(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)))
accuracy99.5%
(pow.f64 (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))) #s(literal 3 binary64))
accuracy54.4%
(cbrt.f64 (pow.f64 (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))) #s(literal 3 binary64)))
accuracy99.9%
(*.f64 (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
accuracy99.6%
(*.f64 N (sqrt.f64 N))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
accuracy99.4%
(*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N))
accuracy100.0%
(+.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))))
accuracy99.5%
(pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))
accuracy54.4%
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))
accuracy100.0%
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
accuracy100.0%
(pow.f64 N #s(literal 2 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) N))
accuracy99.9%
(+.f64 (pow.f64 N #s(literal 2 binary64)) N)
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) N)))
Rules
798×fma-define
514×times-frac
378×fma-neg
378×distribute-rgt-out
329×cube-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037741
184694
2167678
3476670
42492670
54927670
Stop Event
node limit
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) N)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) N))
(+.f64 (pow.f64 N #s(literal 2 binary64)) N)
(pow.f64 N #s(literal 2 binary64))
N
#s(literal 2 binary64)
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))
(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)
#s(literal 3 binary64)
(atan2.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N))
(*.f64 N (sqrt.f64 N))
N
(sqrt.f64 N)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
(cbrt.f64 (pow.f64 (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))) #s(literal 3 binary64)))
(pow.f64 (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))) #s(literal 3 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)))
#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))
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)))
(+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 N #s(literal 1 binary64))
Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 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) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) N))
(+.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 (pow.f64 N #s(literal 2 binary64)) N)
(+.f64 N (pow.f64 N #s(literal 2 binary64)))
(fma.f64 N N N)
(pow.f64 N #s(literal 2 binary64))
N
#s(literal 2 binary64)
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 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)))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 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 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 (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)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
(+.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 (+.f64 #s(literal 1 binary64) N))
(+.f64 N (pow.f64 N #s(literal 2 binary64)))
(fma.f64 N N N)
N
(+.f64 #s(literal 1 binary64) N)
#s(literal 3 binary64)
(atan2.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 N) (*.f64 N (sqrt.f64 N))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (*.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) (fma.f64 N N N))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 N (pow.f64 N #s(literal 2 binary64)))
(fma.f64 N N N)
(*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N))
(pow.f64 N #s(literal 2 binary64))
(*.f64 N (sqrt.f64 N))
(pow.f64 (sqrt.f64 N) #s(literal 3 binary64))
N
(sqrt.f64 N)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
(cbrt.f64 (pow.f64 (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))) #s(literal 3 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) (+.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)))))
(pow.f64 (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))) #s(literal 3 binary64))
(pow.f64 (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))) #s(literal 3 binary64))
(pow.f64 (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))))) #s(literal 3 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 (+.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) (+.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)))))
#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))
(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))
(+.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))))
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)))
(/.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 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))
(pow.f64 N #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 N #s(literal 1 binary64))
(+.f64 N #s(literal -1 binary64))
Results
91.0ms255×0valid
1.0ms1valid
Compiler

Compiled 237 to 32 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-pow: 20.0ms (33.9% of total)
ival-add: 8.0ms (13.6% of total)
ival-atan2: 8.0ms (13.6% of total)
ival-mult: 7.0ms (11.9% of total)
ival-fma: 6.0ms (10.2% of total)
ival-div: 4.0ms (6.8% of total)
ival-cbrt: 3.0ms (5.1% of total)
ival-sqrt: 2.0ms (3.4% of total)
const: 1.0ms (1.7% of total)
ival-sub: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series63.0ms (1.1%)

Counts
16 → 168
Calls
Call 1
Inputs
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) N)))>
#<alt (+.f64 (pow.f64 N #s(literal 2 binary64)) N)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) N))>
#<alt (atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))>
#<alt (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N))>
#<alt (atan2.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))>
#<alt (*.f64 N (sqrt.f64 N))>
#<alt (*.f64 (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))>
#<alt (cbrt.f64 (pow.f64 (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))) #s(literal 3 binary64)))>
#<alt (pow.f64 (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))) #s(literal 3 binary64))>
#<alt (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)))>
#<alt (/.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)))>
#<alt (sqrt.f64 N)>
#<alt (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))>
Outputs
#<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) (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 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 #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 (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 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))) #s(literal 3 binary64))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))) #s(literal 3 binary64))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))) #s(literal 3 binary64))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))) #s(literal 3 binary64))>
#<alt (pow.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))))) #s(literal 3 binary64))>
#<alt (pow.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))))) #s(literal 3 binary64))>
#<alt (pow.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))))) #s(literal 3 binary64))>
#<alt (pow.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))))) #s(literal 3 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 (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 (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 (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 (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 (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 (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 (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 (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 (pow.f64 N #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (pow.f64 N #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (pow.f64 N #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (pow.f64 N #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))))>
#<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))))>
#<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))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) N)) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) N)) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) N)) (*.f64 #s(literal -1 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 (*.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64)))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64)))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64)))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64)))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (-.f64 #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) (pow.f64 N #s(literal 2 binary64)))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (-.f64 #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) (pow.f64 N #s(literal 2 binary64)))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (-.f64 #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) (pow.f64 N #s(literal 2 binary64)))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (-.f64 #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) (pow.f64 N #s(literal 2 binary64)))))))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64))))))) #s(literal 3 binary64))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64))))))) #s(literal 3 binary64))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64))))))) #s(literal 3 binary64))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64))))))) #s(literal 3 binary64))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N))))) #s(literal 3 binary64))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N))))) #s(literal 3 binary64))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N))))) #s(literal 3 binary64))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N))))) #s(literal 3 binary64))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (-.f64 #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) (pow.f64 N #s(literal 2 binary64))))))) #s(literal 3 binary64))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (-.f64 #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) (pow.f64 N #s(literal 2 binary64))))))) #s(literal 3 binary64))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (-.f64 #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) (pow.f64 N #s(literal 2 binary64))))))) #s(literal 3 binary64))>
#<alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (-.f64 #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) (pow.f64 N #s(literal 2 binary64))))))) #s(literal 3 binary64))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64)))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64)))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64)))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64)))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 N (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)) (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (-.f64 #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) (pow.f64 N #s(literal 2 binary64)))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (-.f64 #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) (pow.f64 N #s(literal 2 binary64)))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (-.f64 #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) (pow.f64 N #s(literal 2 binary64)))))))>
#<alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (-.f64 #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) (pow.f64 N #s(literal 2 binary64)))))))>
#<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)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 N) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 N) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 N) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 N) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<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

45 calls:

TimeVariablePointExpression
37.0ms
N
@-inf
(* (* (* N (sqrt N)) (sqrt N)) (+ 1 (/ 1 N)))
2.0ms
N
@-inf
(atan2 1 (* (* (* N (sqrt N)) (sqrt N)) (+ 1 (/ 1 N))))
1.0ms
N
@-inf
(* (* N (sqrt N)) (sqrt N))
1.0ms
N
@inf
(pow (atan2 1 (+ (* N (/ (+ 1 (pow N 3)) (+ (* N (- N 1)) 1))) 1)) 3)
1.0ms
N
@-inf
(pow (atan2 1 (+ (* N (/ (+ 1 (pow N 3)) (+ (* N (- N 1)) 1))) 1)) 3)

rewrite216.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
434×log1p-expm1-u
241×expm1-log1p-u
237×pow1
234×add-exp-log
232×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037407
1672321
27690321
Stop Event
node limit
Counts
16 → 476
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) N)))
(+.f64 (pow.f64 N #s(literal 2 binary64)) N)
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 N #s(literal 2 binary64)) N))
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64))
(*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N))
(atan2.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
(*.f64 N (sqrt.f64 N))
(*.f64 (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(cbrt.f64 (pow.f64 (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))) #s(literal 3 binary64)))
(pow.f64 (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))) #s(literal 3 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)))
(/.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)))
(sqrt.f64 N)
(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))
Outputs
(-.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)))) (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 2 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 (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 1/3 binary64)))
(*.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 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)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 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 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 3/2 binary64)) #s(literal 1/3 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 2 binary64)) #s(literal 1/3 binary64)) (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 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 (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))
(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 (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)))
(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 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 N #s(literal 2 binary64)) N)) (/.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 2 binary64)) N)))
(*.f64 #s(literal 1 binary64) (fma.f64 N N N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 N (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
(*.f64 N (*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.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 (fma.f64 N N N) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) N) N)
(*.f64 (sqrt.f64 N) (+.f64 (sqrt.f64 N) (pow.f64 N #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 N) (+.f64 (pow.f64 N #s(literal 3/2 binary64)) (sqrt.f64 N)))
(*.f64 (sqrt.f64 N) (*.f64 (pow.f64 N #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
(*.f64 (sqrt.f64 N) (*.f64 N (*.f64 (sqrt.f64 N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))))
(*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.f64 #s(literal 1 binary64) N)))
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(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) N)))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) N)))
(exp.f64 (log1p.f64 N))
(exp.f64 (*.f64 (log1p.f64 N) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (cbrt.f64 N) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 N))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 N))
(*.f64 (sqrt.f64 N) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 N))
(*.f64 (cbrt.f64 N) (cbrt.f64 (sqrt.f64 N)))
(*.f64 (pow.f64 N #s(literal 1/4 binary64)) (pow.f64 N #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 N))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 N) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 N)))
(pow.f64 N #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 N) #s(literal 1 binary64))
(pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 N)) #s(literal 3 binary64))
(pow.f64 (pow.f64 N #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 N))
(log.f64 (exp.f64 (sqrt.f64 N)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 N))))
(cbrt.f64 (pow.f64 N #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 N)))
(log1p.f64 (expm1.f64 (sqrt.f64 N)))
(exp.f64 (log.f64 (sqrt.f64 N)))
(exp.f64 (*.f64 (log.f64 N) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 N)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+.f64 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) N))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 1 binary64)) N)
(-.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 #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 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 (-.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 #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 #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 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N))))
(/.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 (-.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)))
(/.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)))))
(/.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 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (+.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 N #s(literal 2 binary64))) N))))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))) (-.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) (pow.f64 N #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))
(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)))

simplify447.0ms (8%)

Algorithm
egg-herbie
Rules
557×fma-neg
266×associate-*r*
240×exp-prod
237×associate-*l*
229×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065921864
1136919833
2405319615
Stop Event
node limit
Counts
644 → 382
Calls
Call 1
Inputs
(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) (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)))
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)))
#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))))))
(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)))))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.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))))) #s(literal 3 binary64))
(pow.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))))) #s(literal 3 binary64))
(pow.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))))) #s(literal 3 binary64))
(pow.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))))) #s(literal 3 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 (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 (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 (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 (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 (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 (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 (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 (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 (pow.f64 N #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (pow.f64 N #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (pow.f64 N #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (pow.f64 N #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))))
(sqrt.f64 (pow.f64 N #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 N #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 N #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 N #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 N #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 N #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 N #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 N #s(literal 3 binary64)))
(*.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))))
(*.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))))
(*.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))))
(*.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))))
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))
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#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)))
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(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 N) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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)))
(+.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))))))
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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)))
(*.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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(-.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))
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(*.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)))))
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(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 (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)))
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(-.f64 (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 N #s(literal 2 binary64)) N)) (/.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (pow.f64 N #s(literal 2 binary64)) N)))
(*.f64 #s(literal 1 binary64) (fma.f64 N N N))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(*.f64 N (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
(*.f64 N (*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (+.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 (fma.f64 N N N) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) N) N)
(*.f64 (sqrt.f64 N) (+.f64 (sqrt.f64 N) (pow.f64 N #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 N) (+.f64 (pow.f64 N #s(literal 3/2 binary64)) (sqrt.f64 N)))
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(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)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) N)))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) N)))
(exp.f64 (log1p.f64 N))
(exp.f64 (*.f64 (log1p.f64 N) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) (cbrt.f64 N) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 N))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 N))
(*.f64 (sqrt.f64 N) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 N))
(*.f64 (cbrt.f64 N) (cbrt.f64 (sqrt.f64 N)))
(*.f64 (pow.f64 N #s(literal 1/4 binary64)) (pow.f64 N #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 N))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 N) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 N) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 N)))
(pow.f64 N #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 N) #s(literal 1 binary64))
(pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 N)) #s(literal 3 binary64))
(pow.f64 (pow.f64 N #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 N))
(log.f64 (exp.f64 (sqrt.f64 N)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 N))))
(cbrt.f64 (pow.f64 N #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 N)))
(log1p.f64 (expm1.f64 (sqrt.f64 N)))
(exp.f64 (log.f64 (sqrt.f64 N)))
(exp.f64 (*.f64 (log.f64 N) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 N)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+.f64 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) N))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N)
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 1 binary64)) N)
(-.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 #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 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 (-.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 #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 #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 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) (fma.f64 N N N))))
(/.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 (-.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)))
(/.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)))))
(/.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 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (+.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 N #s(literal 2 binary64))) N))))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))) (-.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) (pow.f64 N #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))
(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
(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) (fma.f64 N N 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) (fma.f64 N N 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) (fma.f64 N N 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) (fma.f64 N N 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) (fma.f64 N N 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) (fma.f64 N N 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) (fma.f64 N N 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) (fma.f64 N N 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) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N 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) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N 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) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N 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) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
N
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(fma.f64 N N N)
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(fma.f64 N N N)
(*.f64 N (+.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)))
(*.f64 N (+.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)))
(*.f64 N (+.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)))
(*.f64 N (+.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)))
(*.f64 N (+.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)))
(*.f64 N (+.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)))
(*.f64 N (+.f64 #s(literal 1 binary64) N))
(fma.f64 N N N)
#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)))
(*.f64 N (+.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)))
(*.f64 N (+.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))
(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) (fma.f64 N N 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) (+.f64 #s(literal 1 binary64) (fma.f64 N N 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) (+.f64 #s(literal 1 binary64) (fma.f64 N N 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) (+.f64 #s(literal 1 binary64) (fma.f64 N N 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) (fma.f64 N N 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) (fma.f64 N N 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) (fma.f64 N N 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) (fma.f64 N N 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) (+.f64 #s(literal 1 binary64) (fma.f64 N N 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) (+.f64 #s(literal 1 binary64) (fma.f64 N N 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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(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)
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(+.f64 #s(literal 1 binary64) N)
N
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(+.f64 #s(literal 1 binary64) N)
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(+.f64 #s(literal 1 binary64) N)
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(/.f64 (+.f64 (pow.f64 N #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))) (+.f64 (pow.f64 N #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 (+.f64 #s(literal 1 binary64) N) (pow.f64 N #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (+.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 N #s(literal 2 binary64))) N))))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (-.f64 (pow.f64 N #s(literal 2 binary64)) (*.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)) (*.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))) (-.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N))
(/.f64 (-.f64 (pow.f64 N #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 2 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 2 binary64)) #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 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 N (sqrt.f64 N)) #s(literal 4 binary64))) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) (pow.f64 N #s(literal 2 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.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))) (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 #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 3 binary64))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #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 #s(literal 1 binary64) N) #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 #s(literal 1 binary64) N) #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 #s(literal 1 binary64) N) #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 #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)))))
(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)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 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))))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) #s(literal 1 binary64)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))

eval90.0ms (1.6%)

Compiler

Compiled 10083 to 2285 computations (77.3% saved)

prune128.0ms (2.3%)

Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New59811609
Fresh71219
Picked415
Done022
Total60926635
Accuracy
99.9%
Counts
635 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(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 3/2 binary64))
99.0%
(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))
95.5%
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 2 binary64))
97.8%
(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 3 binary64))
99.4%
(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))))
77.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64)))))))
99.4%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 N (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)))))
99.1%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)) N)))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) N)))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))))
99.0%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) 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))))
99.1%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))))))
7.9%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
95.9%
(atan2.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
48.3%
(atan2.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (pow.f64 N #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
95.9%
(atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
6.3%
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
97.1%
(*.f64 (*.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)) (pow.f64 (cbrt.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 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
79.8%
(*.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 2 binary64))) (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))))
98.1%
(*.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))) (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))))
54.2%
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (sqrt.f64 N)) (sqrt.f64 N) #s(literal 1 binary64))) #s(literal 3 binary64)))
54.2%
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64))))))) #s(literal 3 binary64)))
54.2%
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.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 3 binary64)))
47.4%
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 3 binary64)))
4.1%
#s(literal 0 binary64)
Compiler

Compiled 1057 to 400 computations (62.2% saved)

regimes29.0ms (0.5%)

Counts
52 → 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 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 (*.f64 N N) N)))
(atan2.f64 #s(literal 1 binary64) (*.f64 (*.f64 N 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)))))
(-.f64 (atan.f64 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))) (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 (pow.f64 N #s(literal 2 binary64)) N)))
(atan2.f64 #s(literal 1 binary64) (*.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 (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 (-.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 N (/.f64 #s(literal 1 binary64) (/.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 (*.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))) #s(literal 3 binary64)))
(atan2.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (pow.f64 N #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (pow.f64 N #s(literal 4 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 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(pow.f64 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))) #s(literal 3 binary64))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.f64 N)) N)))
(atan2.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N (sqrt.f64 N)) (sqrt.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 4 binary64))) (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.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)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (exp.f64 (log1p.f64 N)) #s(literal 1 binary64)))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 2 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 (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 (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))
(atan2.f64 #s(literal 1 binary64) (fma.f64 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)))) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64))))))) #s(literal 3 binary64)))
(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 3/2 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (*.f64 (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)))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.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 3 binary64)))
(cbrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (sqrt.f64 N)) (sqrt.f64 N) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.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)) (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 (+.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))) #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (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))) #s(literal 3 binary64)))
(*.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 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 (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)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (cbrt.f64 (fma.f64 N N N)) (cbrt.f64 (pow.f64 (hypot.f64 N (sqrt.f64 N)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.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))) (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))))
(*.f64 (*.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)) (pow.f64 (cbrt.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 (cbrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))))
Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
Calls

2 calls:

15.0ms
N
11.0ms
(-.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)

regimes3.0ms (0%)

Counts
4 → 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 N (+.f64 #s(literal 1 binary64) N)))
Outputs
(atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
Calls

1 calls:

2.0ms
N
Results
AccuracySegmentsBranch
95.9%1N
Compiler

Compiled 2 to 1 computations (50% 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
7.9%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
6.3%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:

1.0ms
N
Results
AccuracySegmentsBranch
4.1%1N
Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01480
12280
Stop Event
saturated
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 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
(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 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)

soundness305.0ms (5.4%)

Rules
708×log1p-expm1-u
708×expm1-log1p-u
688×prod-diff
369×distribute-lft-in
348×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03876237
17766093
221465909
377075909
01159
113559
2189059
Stop Event
fuel
node limit
node limit
Compiler

Compiled 161 to 49 computations (69.6% saved)

preprocess71.0ms (1.3%)

Compiler

Compiled 90 to 46 computations (48.9% saved)

end0.0ms (0%)

Profiling

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