exp2 (problem 3.3.7)

Time bar (total: 11.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50.4%49.6%0%0%0%0
100%50.4%0%49.6%0%0%0%1
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample3.9s (33.8%)

Memory
70.8MiB live, 3 461.1MiB allocated
Samples
3.0s5 705×2valid
516.0ms2 322×1valid
16.0ms229×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.1s
ival-exp: 2.0s (65% of total)
ival-<=: 332.0ms (10.6% of total)
adjust: 256.0ms (8.1% of total)
ival-add: 197.0ms (6.3% of total)
ival-sub: 123.0ms (3.9% of total)
ival-fabs: 96.0ms (3.1% of total)
ival-neg: 85.0ms (2.7% of total)
exact: 9.0ms (0.3% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

explain465.0ms (4%)

Memory
13.6MiB live, 174.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
140111(-7.664951451410965e-218)0-(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
00-0-(-.f64 (exp.f64 x) #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(exp.f64 x)
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))cancellation2511
Confusion
Predicted +Predicted -
+1401
-1114
Precision
0.5577689243027888
Recall
0.9929078014184397
Confusion?
Predicted +Predicted MaybePredicted -
+14010
-11113
Precision?
0.5573122529644269
Recall?
1.0
Freqs
test
numberfreq
05
1251
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
240.0ms340×2valid
166.0ms150×1valid
1.0ms22×0valid
Compiler

Compiled 75 to 35 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 180.0ms
ival-exp: 148.0ms (82.4% of total)
adjust: 14.0ms (7.8% of total)
ival-sub: 7.0ms (3.9% of total)
ival-add: 6.0ms (3.3% of total)
ival-neg: 2.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess156.0ms (1.3%)

Memory
-25.4MiB live, 17.1MiB allocated
Algorithm
egg-herbie
Rules
244×lower-fma.f64
244×lower-fma.f32
104×lower-+.f32
102×lower-+.f64
102×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
13117
28116
318316
430816
538916
641616
078
0128
1248
2408
3638
41028
51688
62738
73298
83828
93848
03848
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Outputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
Symmetry

(abs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.1%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify13.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (neg.f64 x))
cost-diff0
(exp.f64 x)
cost-diff0
(-.f64 (exp.f64 x) #s(literal 2 binary64))
cost-diff0
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Rules
244×lower-fma.f64
244×lower-fma.f32
104×lower-+.f32
102×lower-+.f64
102×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
01221
12421
24021
36321
410221
516821
627321
732921
838221
938421
038421
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize294.0ms (2.5%)

Memory
13.8MiB live, 86.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 (neg.f64 x))
accuracy0
(exp.f64 x)
accuracy0.03515625
(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy30.630022483649505
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Samples
273.0ms170×2valid
10.0ms75×1valid
1.0ms11×0valid
Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 168.0ms
ival-exp: 151.0ms (89.9% of total)
adjust: 7.0ms (4.2% of total)
ival-add: 5.0ms (3% of total)
ival-sub: 4.0ms (2.4% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())
Outputs
#s(alt (pow x 2) (taylor 0 x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) 1) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* 1/2 x) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (neg x))) 2) (taylor inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (neg x))) 2) (taylor inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (neg x))) 2) (taylor inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (neg x))) 2) (taylor inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))
0.0ms
x
@inf
((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))
0.0ms
x
@-inf
((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))

simplify177.0ms (1.5%)

Memory
-5.7MiB live, 183.9MiB allocated
Algorithm
egg-herbie
Rules
17 068×lower-fma.f64
17 068×lower-fma.f32
3 466×lower-+.f64
3 466×lower-+.f32
3 160×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060269
1168268
2397262
31060262
41759262
53027262
63849262
75284262
86683262
08227241
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(exp x)
(exp x)
(exp x)
(exp x)
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(exp x)
(exp x)
(exp x)
(exp x)
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))

rewrite169.0ms (1.4%)

Memory
5.2MiB live, 254.0MiB allocated
Rules
3 586×lower-*.f64
3 586×lower-*.f32
3 204×lower-/.f64
3 204×lower-/.f32
2 998×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
01217
15117
239417
3686615
0804714
Stop Event
iter limit
node limit
iter limit
Counts
4 → 245
Calls
Call 1
Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
(exp.f64 (neg.f64 x))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (exp.f64 x) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64)))) (*.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)))) (*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 6 binary64)))) (fma.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) (-.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(*.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (pow.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x)) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x)) (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -2 binary64)))
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 x)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)))
(/.f64 (/.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x))
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 x))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 6 binary64))) (pow.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 9 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 6 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))) (+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))
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(exp.f64 x)
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(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(pow.f64 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
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eval81.0ms (0.7%)

Memory
-6.5MiB live, 69.9MiB allocated
Compiler

Compiled 6 709 to 794 computations (88.2% saved)

prune101.0ms (0.9%)

Memory
-3.3MiB live, 79.9MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2858293
Fresh000
Picked011
Done000
Total2859294
Accuracy
100.0%
Counts
294 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.0%
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
52.0%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
52.1%
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
52.1%
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
52.1%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
98.9%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
98.6%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
98.0%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
97.1%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 196 to 139 computations (29.1% saved)

simplify118.0ms (1%)

Memory
24.0MiB live, 142.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
cost-diff128
(-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
cost-diff320
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
cost-diff7040
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
cost-diff0
(/.f64 #s(literal -1 binary64) (exp.f64 x))
cost-diff0
(exp.f64 x)
cost-diff0
(-.f64 (exp.f64 x) #s(literal 2 binary64))
cost-diff7104
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
cost-diff0
(*.f64 x x)
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
cost-diff0
(pow.f64 x #s(literal 6 binary64))
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
Rules
4 620×lower-fma.f32
4 612×lower-fma.f64
3 714×lower-*.f32
3 708×lower-*.f64
1 932×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036228
058226
1115217
2242211
3612203
42094201
08031192
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
#s(literal 1/360 binary64)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/12 binary64)
(*.f64 x x)
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(/.f64 #s(literal -1 binary64) (exp.f64 x))
#s(literal -1 binary64)
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
(-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
#s(literal 2 binary64)
(cosh.f64 x)
x
#s(literal 3 binary64)
#s(literal 8 binary64)
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
#s(literal 4 binary64)
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
#s(literal 1/360 binary64)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/12 binary64)
(*.f64 x x)
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(/.f64 #s(literal -1 binary64) (exp.f64 x))
#s(literal -1 binary64)
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (cosh.f64 x) #s(literal 1 binary64))))
(-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(cosh.f64 x)
x
#s(literal 3 binary64)
#s(literal 8 binary64)
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) (cosh.f64 x) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 (cosh.f64 x) #s(literal 4 binary64))

localize486.0ms (4.2%)

Memory
-21.1MiB live, 373.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
accuracy0.03191376953688403
(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64))
accuracy0.14453125
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
accuracy30.800214270233386
(-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
accuracy0
(exp.f64 x)
accuracy0.03515625
(/.f64 #s(literal -1 binary64) (exp.f64 x))
accuracy0.03515625
(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy30.630022483649505
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
accuracy0
(pow.f64 x #s(literal 4 binary64))
accuracy0
(*.f64 x x)
accuracy0.01953125
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy1.3052504285448372
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
accuracy0
(*.f64 x x)
accuracy1.8372035425200017
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
accuracy0.0078125
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
accuracy0.01171875
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
accuracy0.01953125
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy0.7143140527415356
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
Samples
354.0ms170×2valid
43.0ms75×1valid
3.0ms11×0valid
Compiler

Compiled 206 to 37 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 281.0ms
ival-cosh: 80.0ms (28.4% of total)
adjust: 58.0ms (20.6% of total)
ival-exp: 54.0ms (19.2% of total)
ival-mult: 21.0ms (7.5% of total)
ival-pow: 16.0ms (5.7% of total)
ival-add: 15.0ms (5.3% of total)
const: 13.0ms (4.6% of total)
ival-sub: 12.0ms (4.3% of total)
ival-div: 9.0ms (3.2% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory
9.9MiB live, 47.8MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 6 binary64)) (patch (pow.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (patch (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) (patch (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (patch (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (exp.f64 x)) (patch (/.f64 #s(literal -1 binary64) (exp.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (patch (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (patch (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (patch (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) (patch (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) (patch (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 6) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 6 binary64)) (patch (pow.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 6) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 6 binary64)) (patch (pow.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 6) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 6 binary64)) (patch (pow.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 6) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 6 binary64)) (patch (pow.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/360 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (patch (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/360 (* 1/20160 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (patch (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/360 (* 1/20160 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (patch (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/360 (* 1/20160 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (patch (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) (patch (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) (patch (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) (patch (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) (patch (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (patch (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (patch (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (patch (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (patch (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) 1) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (exp.f64 x)) (patch (/.f64 #s(literal -1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (exp.f64 x)) (patch (/.f64 #s(literal -1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* -1/2 x))) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (exp.f64 x)) (patch (/.f64 #s(literal -1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (- (* 1/6 x) 1/2)))) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (exp.f64 x)) (patch (/.f64 #s(literal -1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ())
#s(alt 12 (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 12 (* 6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2))))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt 4 (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (patch (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* 2 (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (patch (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 12 (* 7 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (patch (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* (pow x 2) (+ 61/30 (* 547/1680 (pow x 2)))))))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (patch (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt 8 (taylor 0 x) (#s(alt (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (patch (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@inf
((+ (- (exp x) 2) (exp (neg x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (- (- (exp x) 2) (/ -1 (exp x))) (- (exp x) 2) (exp x) (/ -1 (exp x)) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2))) (* (* 2 (cosh x)) 2) (- (pow (* 2 (cosh x)) 3) 8) (+ 4 (* (* 2 (cosh x)) 2)) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* (pow x 4) 1/12) (* x x))) (/ (- (pow (* 2 (cosh x)) 3) 8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) (pow (* 2 (cosh x)) 3))
5.0ms
x
@-inf
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3.0ms
x
@0
((+ (- (exp x) 2) (exp (neg x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (- (- (exp x) 2) (/ -1 (exp x))) (- (exp x) 2) (exp x) (/ -1 (exp x)) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2))) (* (* 2 (cosh x)) 2) (- (pow (* 2 (cosh x)) 3) 8) (+ 4 (* (* 2 (cosh x)) 2)) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* (pow x 4) 1/12) (* x x))) (/ (- (pow (* 2 (cosh x)) 3) 8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) (pow (* 2 (cosh x)) 3))

simplify186.0ms (1.6%)

Memory
10.3MiB live, 285.8MiB allocated
Algorithm
egg-herbie
Rules
22 710×lower-fma.f64
22 710×lower-fma.f32
4 424×lower-+.f64
4 424×lower-+.f32
4 358×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01492040
14322008
211351954
332041954
454941954
568681954
083521821
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
-1
(- x 1)
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/6 x) 1/2)))) 1)
12
(+ 12 (* 6 (pow x 2)))
(+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2)))))
(+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2)))))))
4
(+ 4 (* 2 (pow x 2)))
(+ 4 (* (pow x 2) (+ 2 (* 1/6 (pow x 2)))))
(+ 4 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2)))))))
(* 12 (pow x 2))
(* (pow x 2) (+ 12 (* 7 (pow x 2))))
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2))))))
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* (pow x 2) (+ 61/30 (* 547/1680 (pow x 2))))))))
8
(+ 8 (* 2 (pow x 2)))
(+ 8 (* (pow x 2) (+ 2 (* 1/6 (pow x 2)))))
(+ 8 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
8
(+ 8 (* 12 (pow x 2)))
(+ 8 (* (pow x 2) (+ 12 (* 7 (pow x 2)))))
(+ 8 (* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2)))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(exp x)
(exp x)
(exp x)
(exp x)
(/ -1 (exp x))
(/ -1 (exp x))
(/ -1 (exp x))
(/ -1 (exp x))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(* 2 (+ (exp x) (/ 1 (exp x))))
(* 2 (+ (exp x) (/ 1 (exp x))))
(* 2 (+ (exp x) (/ 1 (exp x))))
(* 2 (+ (exp x) (/ 1 (exp x))))
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(pow (+ (exp x) (/ 1 (exp x))) 3)
(pow (+ (exp x) (/ 1 (exp x))) 3)
(pow (+ (exp x) (/ 1 (exp x))) 3)
(pow (+ (exp x) (/ 1 (exp x))) 3)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(exp x)
(exp x)
(exp x)
(exp x)
(/ -1 (exp x))
(/ -1 (exp x))
(/ -1 (exp x))
(/ -1 (exp x))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(* 2 (+ (exp x) (/ 1 (exp x))))
(* 2 (+ (exp x) (/ 1 (exp x))))
(* 2 (+ (exp x) (/ 1 (exp x))))
(* 2 (+ (exp x) (/ 1 (exp x))))
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(pow (+ (exp x) (/ 1 (exp x))) 3)
(pow (+ (exp x) (/ 1 (exp x))) 3)
(pow (+ (exp x) (/ 1 (exp x))) 3)
(pow (+ (exp x) (/ 1 (exp x))) 3)
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
1/360
#s(literal 1/360 binary64)
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* -1/2 x))) 1)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))
(- (* x (+ 1 (* x (- (* 1/6 x) 1/2)))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x #s(literal -1 binary64))
12
#s(literal 12 binary64)
(+ 12 (* 6 (pow x 2)))
(fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal 12 binary64))
(+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 x x) #s(literal 6 binary64)) (*.f64 x x) #s(literal 12 binary64))
(+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 11/60 binary64) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 6 binary64)) (*.f64 x x) #s(literal 12 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64))
(+ 4 (* (pow x 2) (+ 2 (* 1/6 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) (*.f64 x x) #s(literal 4 binary64))
(+ 4 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 4 binary64))
(* 12 (pow x 2))
(*.f64 #s(literal 12 binary64) (*.f64 x x))
(* (pow x 2) (+ 12 (* 7 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 7 binary64) (*.f64 x x) #s(literal 12 binary64)) x) x)
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 61/30 binary64) (*.f64 x x) #s(literal 7 binary64)) (*.f64 x x) #s(literal 12 binary64)) x) x)
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* (pow x 2) (+ 61/30 (* 547/1680 (pow x 2))))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 547/1680 binary64) (*.f64 x x) #s(literal 61/30 binary64)) (*.f64 x x) #s(literal 7 binary64)) (*.f64 x x) #s(literal 12 binary64)) x) x)
8
#s(literal 8 binary64)
(+ 8 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 8 binary64))
(+ 8 (* (pow x 2) (+ 2 (* 1/6 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) (*.f64 x x) #s(literal 8 binary64))
(+ 8 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 8 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
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(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/20160 binary64)))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)))
(pow (+ (exp x) (/ 1 (exp x))) 3)
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64))
(pow (+ (exp x) (/ 1 (exp x))) 3)
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64))
(pow (+ (exp x) (/ 1 (exp x))) 3)
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64))
(pow (+ (exp x) (/ 1 (exp x))) 3)
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64))

rewrite195.0ms (1.7%)

Memory
-13.9MiB live, 230.7MiB allocated
Rules
4 968×lower-*.f32
4 962×lower-*.f64
3 804×lower-/.f32
3 800×lower-/.f64
2 420×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036187
058183
1257166
22057166
08298155
Stop Event
iter limit
node limit
iter limit
Counts
19 → 510
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
(pow.f64 x #s(literal 6 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(*.f64 x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
(/.f64 #s(literal -1 binary64) (exp.f64 x))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 6 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(pow.f64 x #s(literal 6 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)))
(*.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)) (pow.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64)))) (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) #s(literal 1/129600 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))))
(/.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))) (neg.f64 (+.f64 #s(literal 1/129600 binary64) (-.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))) (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))))
(/.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)))
(/.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)) (+.f64 #s(literal 1/129600 binary64) (-.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64)))) (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64)))) (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)))))
(fma.f64 (*.f64 #s(literal 1/20160 binary64) x) x #s(literal 1/360 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(fma.f64 x (*.f64 #s(literal 1/20160 binary64) x) #s(literal 1/360 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) (/.f64 #s(literal 1/129600 binary64) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(*.f64 x x)
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)))) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))))))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))) (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))))
(fma.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))))
(fma.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))))
(fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))))
(fma.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))))
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 (*.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 x))
(*.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 4 binary64))) (cosh.f64 x))
(*.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (+.f64 x (neg.f64 x))))) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 8 binary64))
(exp.f64 (fma.f64 (log.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64) (*.f64 (log.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))))

eval106.0ms (0.9%)

Memory
16.9MiB live, 168.9MiB allocated
Compiler

Compiled 21 817 to 2 056 computations (90.6% saved)

prune78.0ms (0.7%)

Memory
4.0MiB live, 165.0MiB allocated
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New8509859
Fresh303
Picked415
Done011
Total85711868
Accuracy
100.0%
Counts
868 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.0%
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
8.1%
(/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
52.0%
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))
52.1%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
52.0%
(*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
98.9%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))))
98.9%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))
98.0%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
98.9%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))))
98.0%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
97.1%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 330 to 216 computations (34.5% saved)

simplify113.0ms (1%)

Memory
-2.7MiB live, 108.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))
cost-diff320
(*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
cost-diff5952
(pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
cost-diff6464
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
cost-diff0
(pow.f64 x #s(literal 6 binary64))
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff0
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
cost-diff-5504
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
cost-diff0
(pow.f64 x #s(literal 8 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
cost-diff0
(fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))))
Rules
7 124×lower-fma.f32
7 104×lower-fma.f64
4 028×lower-*.f32
4 020×lower-*.f64
2 708×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041323
070335
1131330
2278314
3578309
41273309
54446301
67398301
08347293
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))
x
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 x #s(literal 8 binary64))
#s(literal 8 binary64)
#s(literal 1/20160 binary64)
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(literal 1/360 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/12 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
x
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/12 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
#s(literal 1/360 binary64)
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/12 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))
(pow.f64 (cosh.f64 x) #s(literal 3 binary64))
(cosh.f64 x)
x
#s(literal 3 binary64)
#s(literal 8 binary64)
#s(literal -8 binary64)
(pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))
(pow.f64 (cosh.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))
(fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))
x
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))
(pow.f64 x #s(literal 8 binary64))
#s(literal 8 binary64)
#s(literal 1/20160 binary64)
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))
#s(literal 1/360 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
x
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
#s(literal 1/360 binary64)
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))
(pow.f64 (cosh.f64 x) #s(literal 3 binary64))
(cosh.f64 x)
x
#s(literal 3 binary64)
#s(literal 8 binary64)
#s(literal -8 binary64)
(pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))
(fma.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) (cosh.f64 x) #s(literal 4 binary64))
(pow.f64 (cosh.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))
#s(literal -1 binary64)

localize352.0ms (3%)

Memory
8.7MiB live, 357.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0234375
(pow.f64 (cosh.f64 x) #s(literal 2 binary64))
accuracy0.03191376953688403
(pow.f64 (cosh.f64 x) #s(literal 3 binary64))
accuracy0.17578125
(*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy30.800214270233386
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))
accuracy0.0078125
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
accuracy0.01171875
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
accuracy0.09765625
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy0.7143140527415356
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))
accuracy0
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
accuracy0
(pow.f64 x #s(literal 4 binary64))
accuracy0.09765625
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy1.3052504285448372
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
accuracy0
(*.f64 x x)
accuracy0.015625
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
accuracy0.22265625
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
accuracy1.3052504285448372
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
accuracy0.015625
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
accuracy0.015625
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
accuracy0.09765625
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy0.7143140527415356
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))))
Samples
249.0ms170×2valid
56.0ms75×1valid
4.0ms11×0valid
Compiler

Compiled 287 to 47 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 246.0ms
ival-exp: 50.0ms (20.3% of total)
adjust: 40.0ms (16.3% of total)
ival-mult: 34.0ms (13.8% of total)
ival-cosh: 30.0ms (12.2% of total)
ival-pow: 27.0ms (11% of total)
ival-add: 25.0ms (10.2% of total)
const: 15.0ms (6.1% of total)
exact: 13.0ms (5.3% of total)
ival-pow2: 6.0ms (2.4% of total)
ival-sub: 4.0ms (1.6% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory
-5.4MiB live, 32.2MiB allocated
Counts
23 → 276
Calls
Call 1
Inputs
#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) #<representation binary64>) () ())
#s(alt (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) (patch (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (patch (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 8 binary64)) (patch (pow.f64 x #s(literal 8 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) (patch (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (patch (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 6 binary64)) (patch (pow.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (patch (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) (patch (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (patch (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (patch (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (patch (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) (patch (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) (patch (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) (patch (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) (patch (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow x 4)) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (patch (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (patch (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (patch (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (patch (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (pow x 8) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 8 binary64)) (patch (pow.f64 x #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 8) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 8 binary64)) (patch (pow.f64 x #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 8) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 8 binary64)) (patch (pow.f64 x #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 8) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 8 binary64)) (patch (pow.f64 x #s(literal 8 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) (patch (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) (patch (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) (patch (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) (patch (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (patch (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (patch (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (patch (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (patch (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (pow x 8) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* x x) 1/12) (+ (* (* x x) (* (* x x) 1/12)) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* 1/12 (pow x 4))) (* 1/12 (pow x 4)) (pow x 4) (+ (- (exp x) 2) (exp (neg x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4)) (pow (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4)) -1) (* (+ (* (pow (cosh x) 3) 8) -8) (pow (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4)) -1)) (+ (* (pow (cosh x) 3) 8) -8) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* x x) (* 1/12 (pow x 4)))) (pow (cosh x) 3) (pow (cosh x) 2))
5.0ms
x
@-inf
((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (pow x 8) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* x x) 1/12) (+ (* (* x x) (* (* x x) 1/12)) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* 1/12 (pow x 4))) (* 1/12 (pow x 4)) (pow x 4) (+ (- (exp x) 2) (exp (neg x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4)) (pow (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4)) -1) (* (+ (* (pow (cosh x) 3) 8) -8) (pow (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4)) -1)) (+ (* (pow (cosh x) 3) 8) -8) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* x x) (* 1/12 (pow x 4)))) (pow (cosh x) 3) (pow (cosh x) 2))
3.0ms
x
@0
((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (pow x 8) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* x x) 1/12) (+ (* (* x x) (* (* x x) 1/12)) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* 1/12 (pow x 4))) (* 1/12 (pow x 4)) (pow x 4) (+ (- (exp x) 2) (exp (neg x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4)) (pow (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4)) -1) (* (+ (* (pow (cosh x) 3) 8) -8) (pow (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4)) -1)) (+ (* (pow (cosh x) 3) 8) -8) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* x x) (* 1/12 (pow x 4)))) (pow (cosh x) 3) (pow (cosh x) 2))

simplify183.0ms (1.6%)

Memory
41.4MiB live, 190.1MiB allocated
Algorithm
egg-herbie
Rules
21 192×lower-fma.f64
21 192×lower-fma.f32
4 514×lower-*.f64
4 514×lower-*.f32
4 106×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01532698
14482650
212102568
335032568
460762568
578412568
081282401
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
12
(+ 12 (* 6 (pow x 2)))
(+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2)))))
(+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2)))))))
1/12
(+ 1/12 (* -1/24 (pow x 2)))
(+ 1/12 (* (pow x 2) (- (* 1/96 (pow x 2)) 1/24)))
(+ 1/12 (* (pow x 2) (- (* (pow x 2) (+ 1/96 (* -11/8640 (pow x 2)))) 1/24)))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 12 (pow x 2))
(* (pow x 2) (+ 12 (* 7 (pow x 2))))
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2))))))
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* (pow x 2) (+ 61/30 (* 547/1680 (pow x 2))))))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
1
(+ 1 (* 3/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 3/2 (* 7/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 7/8 (* 61/240 (pow x 2)))))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/3 (* 2/45 (pow x 2)))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(/ 1 (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ 1 (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ 1 (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ 1 (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(/ 1 (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ 1 (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ 1 (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ 1 (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 8)
(pow.f64 x #s(literal 8 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/12 (pow x 2))
(*.f64 #s(literal 1/12 binary64) (*.f64 x x))
(* 1/12 (pow x 2))
(*.f64 #s(literal 1/12 binary64) (*.f64 x x))
(* 1/12 (pow x 2))
(*.f64 #s(literal 1/12 binary64) (*.f64 x x))
(* 1/12 (pow x 2))
(*.f64 #s(literal 1/12 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
1/360
#s(literal 1/360 binary64)
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
12
#s(literal 12 binary64)
(+ 12 (* 6 (pow x 2)))
(fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal 12 binary64))
(+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 x x) #s(literal 6 binary64)) (*.f64 x x) #s(literal 12 binary64))
(+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 11/60 binary64) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 6 binary64)) (*.f64 x x) #s(literal 12 binary64))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(+ 1/12 (* (pow x 2) (- (* 1/96 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
(+ 1/12 (* (pow x 2) (- (* (pow x 2) (+ 1/96 (* -11/8640 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -11/8640 binary64) (*.f64 x x) #s(literal 1/96 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(* 12 (pow x 2))
(*.f64 #s(literal 12 binary64) (*.f64 x x))
(* (pow x 2) (+ 12 (* 7 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 7 binary64) (*.f64 x x) #s(literal 12 binary64)) x) x)
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 61/30 binary64) (*.f64 x x) #s(literal 7 binary64)) (*.f64 x x) #s(literal 12 binary64)) x) x)
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* (pow x 2) (+ 61/30 (* 547/1680 (pow x 2))))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 547/1680 binary64) (*.f64 x x) #s(literal 61/30 binary64)) (*.f64 x x) #s(literal 7 binary64)) (*.f64 x x) #s(literal 12 binary64)) x) x)
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
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(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/12 (pow x 2))
(*.f64 #s(literal 1/12 binary64) (*.f64 x x))
(* 1/12 (pow x 2))
(*.f64 #s(literal 1/12 binary64) (*.f64 x x))
(* 1/12 (pow x 2))
(*.f64 #s(literal 1/12 binary64) (*.f64 x x))
(* 1/12 (pow x 2))
(*.f64 #s(literal 1/12 binary64) (*.f64 x x))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* 1/20160 (pow x 2))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64))
(/ 1 (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)))
(/ 1 (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)))
(/ 1 (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)))
(/ 1 (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)))
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
(* 1/360 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/20160 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)))

rewrite250.0ms (2.1%)

Memory
-1.1MiB live, 272.2MiB allocated
Rules
5 200×lower-*.f32
5 192×lower-*.f64
4 572×lower-fma.f32
4 552×lower-fma.f64
3 348×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041261
070253
1313243
22536243
08511236
Stop Event
iter limit
node limit
iter limit
Counts
23 → 912
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 x #s(literal 8 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))
(pow.f64 x #s(literal 6 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))
(pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
(pow.f64 (cosh.f64 x) #s(literal 3 binary64))
(pow.f64 (cosh.f64 x) #s(literal 2 binary64))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
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(fma.f64 (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/46656000 binary64) (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/1728 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/129600 binary64) (-.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/20160 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/20160 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (fma.f64 x x (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)))
(fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 x x)))
(fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))))
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))))
(fma.f64 x (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64))) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))
(fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))
(fma.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))
(fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)))) (/.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))))
(+.f64 (+.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(+.f64 (+.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))
(+.f64 (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64))))
(+.f64 (fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))
(+.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))
(+.f64 (fma.f64 x x (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(+.f64 (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64))) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))))
(+.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)))
(+.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))
(+.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))
(+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) (*.f64 x x))
(+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cosh.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/8 binary64))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(*.f64 (cosh.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (cosh.f64 x)))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cosh.f64 x) #s(literal 3 binary64))
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64)) #s(literal -8 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64)))
(/.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64))
(exp.f64 (fma.f64 (log.f64 (cosh.f64 x)) #s(literal 3/2 binary64) (*.f64 (log.f64 (cosh.f64 x)) #s(literal 3/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (cosh.f64 x)) #s(literal 2 binary64) (log.f64 (cosh.f64 x))))
(exp.f64 (+.f64 (log.f64 (cosh.f64 x)) (*.f64 (log.f64 (cosh.f64 x)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 (cosh.f64 x) (cosh.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cosh.f64 x)))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cosh.f64 x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64))
(exp.f64 (+.f64 (log.f64 (cosh.f64 x)) (log.f64 (cosh.f64 x))))
(exp.f64 (*.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal 2 binary64)))

eval168.0ms (1.4%)

Memory
28.7MiB live, 247.0MiB allocated
Compiler

Compiled 52 384 to 2 873 computations (94.5% saved)

prune107.0ms (0.9%)

Memory
2.9MiB live, 200.4MiB allocated
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1 38661 392
Fresh224
Picked505
Done022
Total1 393101 403
Accuracy
100.0%
Counts
1 403 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.0%
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
8.1%
(/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
52.0%
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
52.1%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
52.0%
(*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
98.0%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))
98.9%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))))
98.7%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))))))
98.0%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
97.1%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 280 to 186 computations (33.6% saved)

simplify173.0ms (1.5%)

Memory
-5.8MiB live, 159.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
cost-diff128
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
cost-diff320
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
cost-diff7040
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
cost-diff0
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))
cost-diff0
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
cost-diff128
(fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))
cost-diff6272
(fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x))
cost-diff0
(cosh.f64 x)
cost-diff0
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 1/12 binary64) x)
cost-diff0
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
cost-diff0
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))
cost-diff0
#s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))
cost-diff0
(fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))))
Rules
14 626×lower-fma.f32
14 606×lower-fma.f64
3 972×lower-*.f32
3 958×lower-*.f64
3 086×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055371
090362
1165353
2294353
3670345
41799345
55005339
08082332
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))))
(fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))
x
#s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
#s(literal 1 binary64)
(*.f64 x x)
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(cosh.f64 x)
x
#s(literal 2 binary64)
#s(literal -2 binary64)
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))
(pow.f64 (cosh.f64 x) #s(literal 3 binary64))
(cosh.f64 x)
x
#s(literal 3 binary64)
#s(literal 8 binary64)
#s(literal -8 binary64)
(fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x))
(/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64))
(pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal 2 binary64))
(cosh.f64 x)
x
#s(literal 2 binary64)
#s(literal 3/2 binary64)
(pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))
#s(literal -8 binary64)
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
#s(literal 4 binary64)
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))
x
#s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))
#s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
#s(literal 1 binary64)
(*.f64 x x)
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(cosh.f64 x)
x
#s(literal 2 binary64)
#s(literal -2 binary64)
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) (cosh.f64 x) #s(literal 4 binary64)))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))
(pow.f64 (cosh.f64 x) #s(literal 3 binary64))
(cosh.f64 x)
x
#s(literal 3 binary64)
#s(literal 8 binary64)
#s(literal -8 binary64)
(fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))
(fma.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) (cosh.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x))
(*.f64 (+.f64 (cosh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))
(/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) (cosh.f64 x) #s(literal 4 binary64)))
(fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal -8 binary64))
(pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal 2 binary64))
(cosh.f64 x)
x
#s(literal 2 binary64)
#s(literal 3/2 binary64)
(pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))
#s(literal -8 binary64)
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) (cosh.f64 x) #s(literal 4 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 (cosh.f64 x) #s(literal 4 binary64))

localize1.1s (9.1%)

Memory
-10.3MiB live, 800.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0234375
(pow.f64 (cosh.f64 x) #s(literal 2 binary64))
accuracy0.03125
(pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
accuracy0.14453125
(/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
accuracy58.74348128479035
(fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64))
accuracy0.0078125
(fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x))
accuracy0.03191376953688403
(pow.f64 (cosh.f64 x) #s(literal 3 binary64))
accuracy0.14453125
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
accuracy30.800214270233386
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))
accuracy0
(cosh.f64 x)
accuracy30.710994264858243
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
accuracy0
(*.f64 x x)
accuracy0.0234375
(*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
accuracy0.33984375
(*.f64 #s(literal 1/12 binary64) x)
accuracy1.3052504285448372
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
accuracy0.0078125
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
accuracy0.01953125
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
accuracy0.10841752930532605
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))
accuracy0.7143140527415356
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))))
Samples
562.0ms75×1valid
436.0ms170×2valid
5.0ms11×0valid
Compiler

Compiled 313 to 62 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 922.0ms
ival-mult: 488.0ms (52.9% of total)
ival-pow: 121.0ms (13.1% of total)
ival-add: 94.0ms (10.2% of total)
ival-exp: 69.0ms (7.5% of total)
adjust: 64.0ms (6.9% of total)
ival-cosh: 39.0ms (4.2% of total)
const: 26.0ms (2.8% of total)
ival-div: 8.0ms (0.9% of total)
ival-pow2: 6.0ms (0.7% of total)
ival-sub: 4.0ms (0.4% of total)
exact: 1.0ms (0.1% of total)
ival-neg: 1.0ms (0.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series55.0ms (0.5%)

Memory
-8.9MiB live, 71.8MiB allocated
Counts
25 → 300
Calls
Call 1
Inputs
#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) (patch (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) #<representation binary64>) () ())
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#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) #<representation binary64>) () ())
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#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (patch (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())
#s(alt (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) (patch (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))) (patch (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (patch (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (patch (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (patch (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) (patch (/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) #<representation binary64>) () ())
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#s(alt (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (patch (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)) #<representation binary64>) () ())
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Outputs
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) (patch (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) (patch (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) (patch (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) (patch (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow x 4)) (taylor 0 x) (#s(alt #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))) (patch #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))) (patch #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))) (patch #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))) (patch #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/12 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (patch (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3))) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (taylor -inf x) (#s(alt (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (taylor -inf x) (#s(alt (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
23.0ms
x
@0
((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (* (pow x 4) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* 1/12 x) x) 1) (* 1/12 x) (* x x) (+ (* (cosh x) 2) -2) (cosh x) (+ (* (cosh x) (cosh x)) (cosh x)) (+ (* 4 (+ (* (cosh x) (cosh x)) (cosh x))) 4) (/ (+ (* (pow (cosh x) 3) 8) -8) (+ (* 4 (+ (* (cosh x) (cosh x)) (cosh x))) 4)) (+ (* (pow (cosh x) 3) 8) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2))) (* (* 2 (cosh x)) 2) (+ 4 (* (* 2 (cosh x)) 2)) (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) (* (+ (* (* 1/12 x) x) 1) (* x x)) (pow (cosh x) 3) (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (pow (* (pow (cosh x) 2) 2) 3/2) (pow (cosh x) 2))
7.0ms
x
@inf
((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (* (pow x 4) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* 1/12 x) x) 1) (* 1/12 x) (* x x) (+ (* (cosh x) 2) -2) (cosh x) (+ (* (cosh x) (cosh x)) (cosh x)) (+ (* 4 (+ (* (cosh x) (cosh x)) (cosh x))) 4) (/ (+ (* (pow (cosh x) 3) 8) -8) (+ (* 4 (+ (* (cosh x) (cosh x)) (cosh x))) 4)) (+ (* (pow (cosh x) 3) 8) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2))) (* (* 2 (cosh x)) 2) (+ 4 (* (* 2 (cosh x)) 2)) (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) (* (+ (* (* 1/12 x) x) 1) (* x x)) (pow (cosh x) 3) (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (pow (* (pow (cosh x) 2) 2) 3/2) (pow (cosh x) 2))
6.0ms
x
@-inf
((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (* (pow x 4) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* 1/12 x) x) 1) (* 1/12 x) (* x x) (+ (* (cosh x) 2) -2) (cosh x) (+ (* (cosh x) (cosh x)) (cosh x)) (+ (* 4 (+ (* (cosh x) (cosh x)) (cosh x))) 4) (/ (+ (* (pow (cosh x) 3) 8) -8) (+ (* 4 (+ (* (cosh x) (cosh x)) (cosh x))) 4)) (+ (* (pow (cosh x) 3) 8) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2))) (* (* 2 (cosh x)) 2) (+ 4 (* (* 2 (cosh x)) 2)) (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) (* (+ (* (* 1/12 x) x) 1) (* x x)) (pow (cosh x) 3) (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (pow (* (pow (cosh x) 2) 2) 3/2) (pow (cosh x) 2))

simplify201.0ms (1.7%)

Memory
10.7MiB live, 205.7MiB allocated
Algorithm
egg-herbie
Rules
13 916×lower-fma.f64
13 916×lower-fma.f32
4 372×lower-*.f64
4 372×lower-*.f32
3 406×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02653536
17903451
225973249
357843247
470253247
081493051
Stop Event
iter limit
node limit
Counts
300 → 300
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
2
(+ 2 (* 3/2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 3/2 (* 3/8 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 3/8 (* 11/240 (pow x 2)))))))
12
(+ 12 (* 6 (pow x 2)))
(+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2)))))
(+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 12 (pow x 2))
(* (pow x 2) (+ 12 (* 7 (pow x 2))))
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2))))))
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* (pow x 2) (+ 61/30 (* 547/1680 (pow x 2))))))))
12
(+ 12 (* 6 (pow x 2)))
(+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2)))))
(+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2)))))))
4
(+ 4 (* 2 (pow x 2)))
(+ 4 (* (pow x 2) (+ 2 (* 1/6 (pow x 2)))))
(+ 4 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2)))))))
8
(+ 8 (* 2 (pow x 2)))
(+ 8 (* (pow x 2) (+ 2 (* 1/6 (pow x 2)))))
(+ 8 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2)))))))
(* 1/12 (- (pow (sqrt 8) 2) 8))
(+ (* 1/12 (- (pow (sqrt 8) 2) 8)) (* (pow x 2) (- (* 1/8 (pow (sqrt 8) 2)) (* 1/24 (- (pow (sqrt 8) 2) 8)))))
(+ (* 1/12 (- (pow (sqrt 8) 2) 8)) (* (pow x 2) (- (+ (* 1/8 (pow (sqrt 8) 2)) (* (pow x 2) (- (* 7/96 (pow (sqrt 8) 2)) (+ (* 1/96 (- (pow (sqrt 8) 2) 8)) (* 1/2 (- (* 1/8 (pow (sqrt 8) 2)) (* 1/24 (- (pow (sqrt 8) 2) 8)))))))) (* 1/24 (- (pow (sqrt 8) 2) 8)))))
(+ (* 1/12 (- (pow (sqrt 8) 2) 8)) (* (pow x 2) (- (+ (* 1/8 (pow (sqrt 8) 2)) (* (pow x 2) (- (+ (* 7/96 (pow (sqrt 8) 2)) (* (pow x 2) (- (* 61/2880 (pow (sqrt 8) 2)) (+ (* 11/8640 (- (pow (sqrt 8) 2) 8)) (+ (* 1/8 (- (* 1/8 (pow (sqrt 8) 2)) (* 1/24 (- (pow (sqrt 8) 2) 8)))) (* 1/2 (- (* 7/96 (pow (sqrt 8) 2)) (+ (* 1/96 (- (pow (sqrt 8) 2) 8)) (* 1/2 (- (* 1/8 (pow (sqrt 8) 2)) (* 1/24 (- (pow (sqrt 8) 2) 8)))))))))))) (+ (* 1/96 (- (pow (sqrt 8) 2) 8)) (* 1/2 (- (* 1/8 (pow (sqrt 8) 2)) (* 1/24 (- (pow (sqrt 8) 2) 8)))))))) (* 1/24 (- (pow (sqrt 8) 2) 8)))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
1
(+ 1 (* 3/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 3/2 (* 7/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 7/8 (* 61/240 (pow x 2)))))))
(- (pow (sqrt 8) 2) 8)
(- (+ (* 3/2 (* (pow x 2) (pow (sqrt 8) 2))) (pow (sqrt 8) 2)) 8)
(- (+ (* (pow x 2) (+ (* 7/8 (* (pow x 2) (pow (sqrt 8) 2))) (* 3/2 (pow (sqrt 8) 2)))) (pow (sqrt 8) 2)) 8)
(- (+ (* (pow x 2) (+ (* 3/2 (pow (sqrt 8) 2)) (* (pow x 2) (+ (* 61/240 (* (pow x 2) (pow (sqrt 8) 2))) (* 7/8 (pow (sqrt 8) 2)))))) (pow (sqrt 8) 2)) 8)
(sqrt 8)
(+ (sqrt 8) (* 3/2 (* (pow x 2) (sqrt 8))))
(+ (sqrt 8) (* (pow x 2) (+ (* 7/8 (* (pow x 2) (sqrt 8))) (* 3/2 (sqrt 8)))))
(+ (sqrt 8) (* (pow x 2) (+ (* 3/2 (sqrt 8)) (* (pow x 2) (+ (* 61/240 (* (pow x 2) (sqrt 8))) (* 7/8 (sqrt 8)))))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/3 (* 2/45 (pow x 2)))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
(+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
(+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
(+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))))))
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(* 2 (+ (exp x) (/ 1 (exp x))))
(* 2 (+ (exp x) (/ 1 (exp x))))
(* 2 (+ (exp x) (/ 1 (exp x))))
(* 2 (+ (exp x) (/ 1 (exp x))))
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(/ (- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8)
(- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8)
(- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8)
(- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8)
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3)))
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3)))
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3)))
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3)))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))
(+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
(+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
(+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
(+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))))))
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8)
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))
(* 2 (+ (exp x) (/ 1 (exp x))))
(* 2 (+ (exp x) (/ 1 (exp x))))
(* 2 (+ (exp x) (/ 1 (exp x))))
(* 2 (+ (exp x) (/ 1 (exp x))))
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x)))))
(/ (- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(/ (- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3))
(- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8)
(- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8)
(- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8)
(- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8)
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3)))
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3)))
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3)))
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3)))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 3/2 (pow x 2)))
(fma.f64 #s(literal 3/2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 3/2 (* 3/8 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 3/8 (* 11/240 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 11/240 binary64) (*.f64 x x) #s(literal 3/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
12
#s(literal 12 binary64)
(+ 12 (* 6 (pow x 2)))
(fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal 12 binary64))
(+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 x x) #s(literal 6 binary64)) (*.f64 x x) #s(literal 12 binary64))
(+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 11/60 binary64) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 6 binary64)) (*.f64 x x) #s(literal 12 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(* 12 (pow x 2))
(*.f64 #s(literal 12 binary64) (*.f64 x x))
(* (pow x 2) (+ 12 (* 7 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 7 binary64) (*.f64 x x) #s(literal 12 binary64)) x) x)
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 61/30 binary64) (*.f64 x x) #s(literal 7 binary64)) (*.f64 x x) #s(literal 12 binary64)) x) x)
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* (pow x 2) (+ 61/30 (* 547/1680 (pow x 2))))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 547/1680 binary64) (*.f64 x x) #s(literal 61/30 binary64)) (*.f64 x x) #s(literal 7 binary64)) (*.f64 x x) #s(literal 12 binary64)) x) x)
12
#s(literal 12 binary64)
(+ 12 (* 6 (pow x 2)))
(fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal 12 binary64))
(+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 x x) #s(literal 6 binary64)) (*.f64 x x) #s(literal 12 binary64))
(+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 11/60 binary64) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 6 binary64)) (*.f64 x x) #s(literal 12 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64))
(+ 4 (* (pow x 2) (+ 2 (* 1/6 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 4 binary64))
(+ 4 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 4 binary64))
8
#s(literal 8 binary64)
(+ 8 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 8 binary64))
(+ 8 (* (pow x 2) (+ 2 (* 1/6 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 8 binary64))
(+ 8 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 8 binary64))
(* 1/12 (- (pow (sqrt 8) 2) 8))
#s(literal 0 binary64)
(+ (* 1/12 (- (pow (sqrt 8) 2) 8)) (* (pow x 2) (- (* 1/8 (pow (sqrt 8) 2)) (* 1/24 (- (pow (sqrt 8) 2) 8)))))
(*.f64 x x)
(+ (* 1/12 (- (pow (sqrt 8) 2) 8)) (* (pow x 2) (- (+ (* 1/8 (pow (sqrt 8) 2)) (* (pow x 2) (- (* 7/96 (pow (sqrt 8) 2)) (+ (* 1/96 (- (pow (sqrt 8) 2) 8)) (* 1/2 (- (* 1/8 (pow (sqrt 8) 2)) (* 1/24 (- (pow (sqrt 8) 2) 8)))))))) (* 1/24 (- (pow (sqrt 8) 2) 8)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(+ (* 1/12 (- (pow (sqrt 8) 2) 8)) (* (pow x 2) (- (+ (* 1/8 (pow (sqrt 8) 2)) (* (pow x 2) (- (+ (* 7/96 (pow (sqrt 8) 2)) (* (pow x 2) (- (* 61/2880 (pow (sqrt 8) 2)) (+ (* 11/8640 (- (pow (sqrt 8) 2) 8)) (+ (* 1/8 (- (* 1/8 (pow (sqrt 8) 2)) (* 1/24 (- (pow (sqrt 8) 2) 8)))) (* 1/2 (- (* 7/96 (pow (sqrt 8) 2)) (+ (* 1/96 (- (pow (sqrt 8) 2) 8)) (* 1/2 (- (* 1/8 (pow (sqrt 8) 2)) (* 1/24 (- (pow (sqrt 8) 2) 8)))))))))))) (+ (* 1/96 (- (pow (sqrt 8) 2) 8)) (* 1/2 (- (* 1/8 (pow (sqrt 8) 2)) (* 1/24 (- (pow (sqrt 8) 2) 8)))))))) (* 1/24 (- (pow (sqrt 8) 2) 8)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
1/360
#s(literal 1/360 binary64)
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 3/2 (pow x 2)))
(fma.f64 #s(literal 3/2 binary64) (*.f64 x x) #s(literal 1 binary64))
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(- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8)
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
(- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8)
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64))
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3)))
(*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 8 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)))
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3)))
(*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 8 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)))
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3)))
(*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 8 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)))
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3)))
(*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 8 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2))
(*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))

rewrite262.0ms (2.2%)

Memory
-34.8MiB live, 251.2MiB allocated
Rules
4 352×lower-*.f32
4 338×lower-*.f64
4 120×lower-fma.f32
4 100×lower-fma.f64
3 254×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055327
090301
1406291
22959291
08820280
Stop Event
iter limit
node limit
iter limit
Counts
25 → 773
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))))
(fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))
#s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x x)
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(cosh.f64 x)
(fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x))
(fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
(pow.f64 (cosh.f64 x) #s(literal 3 binary64))
(fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64))
(pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cosh.f64 x) #s(literal 2 binary64))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x x) #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 (-.f64 (*.f64 x x) #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 x x) #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (*.f64 x x) #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x x) #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 x x) #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))
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(pow.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(exp.f64 (fma.f64 (fma.f64 (log.f64 (cosh.f64 x)) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3/4 binary64) (*.f64 (fma.f64 (log.f64 (cosh.f64 x)) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3/4 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64) (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64) (*.f64 (log.f64 (cosh.f64 x)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (cosh.f64 x)) #s(literal 3 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (*.f64 (fma.f64 (log.f64 (cosh.f64 x)) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 (cosh.f64 x)) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(*.f64 (cosh.f64 x) (cosh.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cosh.f64 x)))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cosh.f64 x) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -4 binary64))
(/.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64))))

eval238.0ms (2%)

Memory
20.7MiB live, 401.6MiB allocated
Compiler

Compiled 38 074 to 3 414 computations (91% saved)

prune233.0ms (2%)

Memory
-5.5MiB live, 285.5MiB allocated
Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New1 311101 321
Fresh213
Picked325
Done022
Total1 316151 331
Accuracy
100.0%
Counts
1 331 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.0%
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
50.8%
(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
50.4%
(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
49.7%
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
8.1%
(/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (cosh.f64 x) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64)))
52.0%
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 (cosh.f64 x) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64)))
52.1%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
52.0%
(*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (cosh.f64 x) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
48.2%
#s(approx (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) #s(literal 0 binary64))
98.0%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))
98.9%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x)))))
98.0%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
98.0%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
49.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/12 x) x) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)))
97.1%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 704 to 266 computations (62.2% saved)

regimes22.0ms (0.2%)

Memory
1.2MiB live, 36.4MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) #s(literal 0 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/12 x) x) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x)))))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 (cosh.f64 x) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64)))
(*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (cosh.f64 x) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (cosh.f64 x) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x)))))
Calls

2 calls:

13.0ms
x
7.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
98.9%1x
98.9%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes7.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) #s(literal 0 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/12 x) x) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))
Calls

2 calls:

3.0ms
x
3.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
98.0%1x
98.0%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes5.0ms (0%)

Memory
13.2MiB live, 13.2MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) #s(literal 0 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/12 x) x) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
Calls

2 calls:

2.0ms
x
2.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
98.0%1x
98.0%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes7.0ms (0.1%)

Memory
-26.5MiB live, 11.6MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) #s(literal 0 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/12 x) x) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x)))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Calls

2 calls:

5.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
2.0ms
x
Results
AccuracySegmentsBranch
97.1%1x
97.1%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) #s(literal 0 binary64))
Outputs
#s(approx (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) #s(literal 0 binary64))
Calls

2 calls:

1.0ms
x
1.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
48.2%1x
48.2%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify26.0ms (0.2%)

Memory
4.3MiB live, 52.8MiB allocated
Algorithm
egg-herbie
Rules
14×*-commutative-binary64-*.f64
1-exp-binary32-exp.f32
1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057136
166136
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) #s(literal 0 binary64))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) #s(literal 0 binary64))

soundness1.5s (12.8%)

Memory
-8.2MiB live, 1 074.5MiB allocated
Rules
21 192×lower-fma.f64
21 192×lower-fma.f32
17 068×lower-fma.f64
17 068×lower-fma.f32
13 916×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02653536
17903451
225973249
357843247
470253247
081493051
055327
090301
1406291
22959291
08820280
0717
01217
15117
239417
3686615
0804714
041261
070253
1313243
22536243
08511236
036187
058183
1257166
22057166
08298155
060269
1168268
2397262
31060262
41759262
53027262
63849262
75284262
86683262
08227241
01532698
14482650
212102568
335032568
460762568
578412568
081282401
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 198 to 124 computations (37.4% saved)

preprocess87.0ms (0.7%)

Memory
7.4MiB live, 166.2MiB allocated
Remove

(abs x)

Compiler

Compiled 194 to 102 computations (47.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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