exp2 (problem 3.3.7)

Time bar (total: 16.3s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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)

sample4.3s (26.6%)

Memory
82.8MiB live, 4 499.5MiB allocated
Samples
3.5s5 698×2valid
412.0ms2 392×1valid
11.0ms166×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.5s
ival-exp: 2.3s (65.9% of total)
ival-sub: 569.0ms (16.3% of total)
adjust: 222.0ms (6.4% of total)
ival-add: 138.0ms (3.9% of total)
ival-neg: 109.0ms (3.1% of total)
ival-fabs: 104.0ms (3% of total)
ival-<=: 29.0ms (0.8% of total)
exact: 17.0ms (0.5% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

preprocess93.0ms (0.6%)

Memory
-0.6MiB live, 36.1MiB allocated
Algorithm
egg-herbie
Rules
244×accelerator-lowering-fma.f32
244×accelerator-lowering-fma.f64
104×+-lowering-+.f64
104×+-lowering-+.f32
102×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
14025
29724
322424
437924
545724
646724
078
1198
2358
3588
4978
51648
62698
73298
83828
93848
03848
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(+ (- (exp x) 2) (exp (neg x)))
Outputs
(+ (- (exp x) 2) (exp (neg x)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)))
Call 2
Inputs
(+ (- (exp x) 2) (exp (neg x)))
(+ (- (exp (neg x)) 2) (exp (neg (neg x))))
(neg (+ (- (exp (neg x)) 2) (exp (neg (neg x)))))
Outputs
(+ (- (exp x) 2) (exp (neg x)))
(+ (+ (exp x) -2) (exp (neg x)))
(+ (- (exp (neg x)) 2) (exp (neg (neg x))))
(+ (+ (exp x) -2) (exp (neg x)))
(neg (+ (- (exp (neg x)) 2) (exp (neg (neg x)))))
(- (- 2 (exp (neg x))) (exp x))
Symmetry

(abs x)

explain456.0ms (2.8%)

Memory
-9.9MiB live, 274.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1311(1.9622814036696585e-162)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)))cancellation1320
Confusion
Predicted +Predicted -
+1311
-1123
Precision
0.9924242424242424
Recall
0.9924242424242424
Confusion?
Predicted +Predicted MaybePredicted -
+13101
-12121
Precision?
0.9776119402985075
Recall?
0.9924242424242424
Freqs
test
numberfreq
0124
1132
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
263.0ms354×2valid
19.0ms138×1valid
1.0ms20×0valid
Compiler

Compiled 64 to 32 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 257.0ms
ival-exp: 156.0ms (60.7% of total)
ival-neg: 77.0ms (29.9% of total)
adjust: 10.0ms (3.9% of total)
ival-sub: 7.0ms (2.7% of total)
ival-add: 6.0ms (2.3% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify20.0ms (0.1%)

Memory
-15.4MiB live, 23.0MiB 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×accelerator-lowering-fma.f32
244×accelerator-lowering-fma.f64
104×+-lowering-+.f64
104×+-lowering-+.f32
102×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
11921
23521
35821
49721
516421
626921
732921
838221
938421
038421
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (- (exp x) 2) (exp (neg x)))
(- (exp x) 2)
(exp x)
x
2
(exp (neg x))
(neg x)
Outputs
(+ (- (exp x) 2) (exp (neg x)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(exp x)
(exp.f64 x)
x
2
#s(literal 2 binary64)
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(neg x)
(-.f64 #s(literal 0 binary64) x)

localize88.0ms (0.5%)

Memory
26.1MiB live, 146.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 (neg.f64 x))
accuracy100.0%
(exp.f64 x)
accuracy99.9%
(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy54.8%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Samples
66.0ms177×2valid
10.0ms69×1valid
1.0ms10×0valid
Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-exp: 48.0ms (75.2% of total)
adjust: 5.0ms (7.8% of total)
ival-sub: 4.0ms (6.3% of total)
ival-add: 4.0ms (6.3% of total)
ival-neg: 2.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0%)

Memory
-36.3MiB live, 2.9MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (+ (- (exp x) 2) (exp (neg x)))>
#<alt (- (exp x) 2)>
#<alt (exp x)>
#<alt (exp (neg x))>
Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* 1/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
Calls

12 calls:

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

rewrite405.0ms (2.5%)

Memory
-19.6MiB live, 562.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 586×*-lowering-*.f32
3 586×*-lowering-*.f64
3 204×/-lowering-/.f32
3 204×/-lowering-/.f64
2 998×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
14617
238917
3685615
0803614
Stop Event
iter limit
node limit
Counts
4 → 245
Calls
Call 1
Inputs
(+ (- (exp x) 2) (exp (neg x)))
(- (exp x) 2)
(exp x)
(exp (neg x))
Outputs
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)))
(+.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.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)))) (neg.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(+.f64 (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)) (exp.f64 x))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(-.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) 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 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (exp.f64 (+.f64 x x)))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (exp.f64 (+.f64 x x)))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 2 binary64)) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))))
(-.f64 (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(-.f64 (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(fma.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(fma.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 x))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (+.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (neg.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (exp.f64 x) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal -512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64) #s(literal 64 binary64))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64) #s(literal 16 binary64))))
(/.f64 (*.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(*.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)))
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (exp.f64 (+.f64 x x))) (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x)))))
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal -2 binary64) #s(literal 4 binary64))))
(exp.f64 x)
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))) #s(literal -1 binary64))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))

simplify497.0ms (3%)

Memory
22.7MiB live, 809.6MiB allocated
Algorithm
egg-herbie
Rules
17 068×accelerator-lowering-fma.f32
17 068×accelerator-lowering-fma.f64
3 466×+-lowering-+.f64
3 466×+-lowering-+.f32
3 160×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060269
1168268
2397262
31053262
41755262
53019262
63833262
75252262
86659262
08202241
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))))))))
(- (+ (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 (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
Outputs
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64)))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 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) 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))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))

eval37.0ms (0.2%)

Memory
-1.6MiB live, 76.7MiB allocated
Compiler

Compiled 6 972 to 798 computations (88.6% saved)

prune77.0ms (0.5%)

Memory
10.0MiB live, 88.0MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New28112293
Fresh000
Picked011
Done000
Total28113294
Accuracy
99.9%
Counts
294 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.0%
(fma.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal -2 binary64) #s(literal 4 binary64))) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
96.9%
(fma.f64 x x #s(literal 0 binary64))
54.7%
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
54.9%
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
54.7%
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
54.7%
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (exp.f64 (+.f64 x x))))
55.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
54.7%
(+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x)))
54.8%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
54.7%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
98.3%
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
98.7%
(*.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
97.8%
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
Compiler

Compiled 469 to 269 computations (42.6% saved)

simplify397.0ms (2.4%)

Memory
20.8MiB live, 461.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
cost-diff192
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x))
cost-diff320
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
cost-diff14912
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
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)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
cost-diff512
(/.f64 #s(literal 1 binary64) (exp.f64 x))
cost-diff-64
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
cost-diff0
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
cost-diff0
(fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64))
cost-diff0
(fma.f64 x x #s(literal 0 binary64))
cost-diff0
(fma.f64 x x #s(literal 0 binary64))
cost-diff0
(fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
cost-diff0
(fma.f64 x x #s(literal 0 binary64))
cost-diff0
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))
cost-diff0
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
Rules
9 634×accelerator-lowering-fma.f32
9 634×accelerator-lowering-fma.f64
3 130×*-lowering-*.f32
3 130×*-lowering-*.f64
1 474×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036221
1113219
2351213
31119213
42358213
52505213
62860213
73731213
85193213
97123213
08041194
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (+ (* x (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)) 1)) 0))
x
(+ (* x (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)) 1)) 0)
(+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)) 1)
(+ (* x x) 0)
0
(+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)
(* x (+ (* (+ (* x x) 0) 1/20160) 1/360))
(+ (* (+ (* x x) 0) 1/20160) 1/360)
1/20160
1/360
1/12
1
(+ (* x x) 0)
x
0
(* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/360) 1/12))) 1))
(+ (* x x) 0)
x
0
(+ (* x (* x (+ (* (+ (* x x) 0) 1/360) 1/12))) 1)
(* x (+ (* (+ (* x x) 0) 1/360) 1/12))
(+ (* (+ (* x x) 0) 1/360) 1/12)
1/360
1/12
1
(+ (- (exp x) 2) (/ 1 (exp x)))
(- (exp x) 2)
(exp x)
x
2
(/ 1 (exp x))
1
(/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2))))
(+ (* 1 (/ 1 (+ (exp x) -2))) (exp x))
1
(/ 1 (+ (exp x) -2))
(+ (exp x) -2)
(exp x)
x
-2
(* (exp x) (/ 1 (+ (exp x) -2)))
Outputs
(* x (+ (* x (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)) 1)) 0))
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/20160 binary64) #s(literal 0 binary64)) #s(literal 1/360 binary64)) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
x
(+ (* x (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)) 1)) 0)
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/20160 binary64) #s(literal 0 binary64)) #s(literal 1/360 binary64)) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/20160 binary64) #s(literal 0 binary64)) #s(literal 1/360 binary64)) #s(literal 0 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
0
#s(literal 0 binary64)
(+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/20160 binary64) #s(literal 0 binary64)) #s(literal 1/360 binary64)) #s(literal 0 binary64)) #s(literal 1/12 binary64))
(* x (+ (* (+ (* x x) 0) 1/20160) 1/360))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/20160 binary64) #s(literal 0 binary64)) #s(literal 1/360 binary64)) #s(literal 0 binary64))
(+ (* (+ (* x x) 0) 1/20160) 1/360)
(fma.f64 x (fma.f64 x #s(literal 1/20160 binary64) #s(literal 0 binary64)) #s(literal 1/360 binary64))
1/20160
#s(literal 1/20160 binary64)
1/360
#s(literal 1/360 binary64)
1/12
#s(literal 1/12 binary64)
1
#s(literal 1 binary64)
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/360) 1/12))) 1))
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(+ (* x (* x (+ (* (+ (* x x) 0) 1/360) 1/12))) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* x (+ (* (+ (* x x) 0) 1/360) 1/12))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 0 binary64))
(+ (* (+ (* x x) 0) 1/360) 1/12)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
1/360
#s(literal 1/360 binary64)
1/12
#s(literal 1/12 binary64)
1
#s(literal 1 binary64)
(+ (- (exp x) 2) (/ 1 (exp x)))
(+.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(exp x)
(exp.f64 x)
x
2
#s(literal 2 binary64)
(/ 1 (exp x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
1
#s(literal 1 binary64)
(/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2))))
(+.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (* 1 (/ 1 (+ (exp x) -2))) (exp x))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(/ 1 (+ (exp x) -2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(+ (exp x) -2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(exp x)
(exp.f64 x)
x
-2
#s(literal -2 binary64)
(* (exp x) (/ 1 (+ (exp x) -2)))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)))

localize321.0ms (2%)

Memory
-12.0MiB live, 501.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
accuracy99.9%
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
accuracy99.9%
(+.f64 (exp.f64 x) #s(literal -2 binary64))
accuracy54.7%
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x))
accuracy100.0%
(exp.f64 x)
accuracy99.9%
(/.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy99.9%
(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy54.8%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
accuracy100.0%
(fma.f64 x x #s(literal 0 binary64))
accuracy100.0%
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
accuracy100.0%
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
accuracy99.5%
(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
accuracy100.0%
(fma.f64 x x #s(literal 0 binary64))
accuracy100.0%
(*.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
accuracy100.0%
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
accuracy100.0%
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
accuracy99.6%
(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
Samples
194.0ms177×2valid
37.0ms69×1valid
4.0ms10×0valid
Compiler

Compiled 238 to 38 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-mult: 40.0ms (28.3% of total)
ival-add: 26.0ms (18.4% of total)
adjust: 25.0ms (17.7% of total)
const: 17.0ms (12% of total)
ival-exp: 15.0ms (10.6% of total)
ival-div: 14.0ms (9.9% of total)
ival-sub: 3.0ms (2.1% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series19.0ms (0.1%)

Memory
-11.3MiB live, 33.0MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#<alt (+ (* x (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)) 1)) 0)>
#<alt (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)) 1)>
#<alt (+ (* x x) 0)>
#<alt (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)>
#<alt (+ (* x (* x (+ (* (+ (* x x) 0) 1/360) 1/12))) 1)>
#<alt (+ (* (+ (* x x) 0) 1/360) 1/12)>
#<alt (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/360) 1/12))) 1))>
#<alt (/ 1 (exp x))>
#<alt (+ (- (exp x) 2) (/ 1 (exp x)))>
#<alt (- (exp x) 2)>
#<alt (exp x)>
#<alt (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2))))>
#<alt (* (exp x) (/ 1 (+ (exp x) -2)))>
#<alt (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x))>
#<alt (/ 1 (+ (exp x) -2))>
#<alt (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))>
#<alt (+ (* (+ (* x x) 0) 1/20160) 1/360)>
#<alt (* x (+ (* x (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)) 1)) 0))>
#<alt (* x (+ (* (+ (* x x) 0) 1/360) 1/12))>
#<alt (+ (exp x) -2)>
Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* 1/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt -1>
#<alt (- (* -2 x) 1)>
#<alt (- (* x (- (* -3 x) 2)) 1)>
#<alt (- (* x (- (* x (- (* -13/3 x) 3)) 2)) 1)>
#<alt (/ (exp x) (- (exp x) 2))>
#<alt (/ (exp x) (- (exp x) 2))>
#<alt (/ (exp x) (- (exp x) 2))>
#<alt (/ (exp x) (- (exp x) 2))>
#<alt (/ (exp x) (- (exp x) 2))>
#<alt (/ (exp x) (- (exp x) 2))>
#<alt (/ (exp x) (- (exp x) 2))>
#<alt (/ (exp x) (- (exp x) 2))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -2 x) 1))>
#<alt (* (pow x 2) (- (* x (- (* -37/12 x) 2)) 1))>
#<alt (* (pow x 2) (- (* x (- (* x (- (* -9/2 x) 37/12)) 2)) 1))>
#<alt (+ (exp x) (/ 1 (- (exp x) 2)))>
#<alt (+ (exp x) (/ 1 (- (exp x) 2)))>
#<alt (+ (exp x) (/ 1 (- (exp x) 2)))>
#<alt (+ (exp x) (/ 1 (- (exp x) 2)))>
#<alt (+ (exp x) (/ 1 (- (exp x) 2)))>
#<alt (+ (exp x) (/ 1 (- (exp x) 2)))>
#<alt (+ (exp x) (/ 1 (- (exp x) 2)))>
#<alt (+ (exp x) (/ 1 (- (exp x) 2)))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -3/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -13/6 x) 3/2)) 1)) 1)>
#<alt (/ 1 (- (exp x) 2))>
#<alt (/ 1 (- (exp x) 2))>
#<alt (/ 1 (- (exp x) 2))>
#<alt (/ 1 (- (exp x) 2))>
#<alt (/ 1 (- (exp x) 2))>
#<alt (/ 1 (- (exp x) 2))>
#<alt (/ 1 (- (exp x) 2))>
#<alt (/ 1 (- (exp x) 2))>
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt 1/360>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* 1/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
Calls

60 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2))))
2.0ms
x
@inf
(/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2))))
1.0ms
x
@inf
(+ (* x (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)) 1)) 0)
1.0ms
x
@-inf
(+ (* x (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)) 1)) 0)
1.0ms
x
@inf
(+ (* x x) 0)

rewrite456.0ms (2.8%)

Memory
30.9MiB live, 698.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 232×*-lowering-*.f32
5 232×*-lowering-*.f64
4 090×/-lowering-/.f32
4 090×/-lowering-/.f64
3 532×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036192
1272190
22795182
09138163
Stop Event
iter limit
node limit
Counts
20 → 905
Calls
Call 1
Inputs
(+ (* x (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)) 1)) 0)
(+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)) 1)
(+ (* x x) 0)
(+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)
(+ (* x (* x (+ (* (+ (* x x) 0) 1/360) 1/12))) 1)
(+ (* (+ (* x x) 0) 1/360) 1/12)
(* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/360) 1/12))) 1))
(/ 1 (exp x))
(+ (- (exp x) 2) (/ 1 (exp x)))
(- (exp x) 2)
(exp x)
(/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2))))
(* (exp x) (/ 1 (+ (exp x) -2)))
(+ (* 1 (/ 1 (+ (exp x) -2))) (exp x))
(/ 1 (+ (exp x) -2))
(* x (+ (* (+ (* x x) 0) 1/20160) 1/360))
(+ (* (+ (* x x) 0) 1/20160) 1/360)
(* x (+ (* x (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)) 1)) 0))
(* x (+ (* (+ (* x x) 0) 1/360) 1/12))
(+ (exp x) -2)
Outputs
(+.f64 x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) x)))
(+.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(+.f64 (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) x)) x)
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) x))) x)
(-.f64 (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))))
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) x)))
(fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) x) x)
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x)
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) x)))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) x #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) x)
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (fma.f64 x x #s(literal 0 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))))
(/.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) #s(literal -1 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 8 binary64))) (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 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 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))

simplify475.0ms (2.9%)

Memory
13.9MiB live, 677.8MiB allocated
Algorithm
egg-herbie
Rules
14 122×accelerator-lowering-fma.f32
14 122×accelerator-lowering-fma.f64
4 130×*-lowering-*.f32
4 130×*-lowering-*.f64
3 168×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01772027
15221996
212891944
335941943
082891795
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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)))))
(* 1/20160 (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 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
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (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 (* 1/360 (pow x 2))))))
(* 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))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 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))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(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))))))))
(- (+ (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) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(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))))))))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
-1
(- (* -2 x) 1)
(- (* x (- (* -3 x) 2)) 1)
(- (* x (- (* x (- (* -13/3 x) 3)) 2)) 1)
(/ (exp x) (- (exp x) 2))
(/ (exp x) (- (exp x) 2))
(/ (exp x) (- (exp x) 2))
(/ (exp x) (- (exp x) 2))
(/ (exp x) (- (exp x) 2))
(/ (exp x) (- (exp x) 2))
(/ (exp x) (- (exp x) 2))
(/ (exp x) (- (exp x) 2))
(* -1 (pow x 2))
(* (pow x 2) (- (* -2 x) 1))
(* (pow x 2) (- (* x (- (* -37/12 x) 2)) 1))
(* (pow x 2) (- (* x (- (* x (- (* -9/2 x) 37/12)) 2)) 1))
(+ (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) (/ 1 (- (exp x) 2)))
(+ (exp x) (/ 1 (- (exp x) 2)))
(+ (exp x) (/ 1 (- (exp x) 2)))
(+ (exp x) (/ 1 (- (exp x) 2)))
-1
(- (* -1 x) 1)
(- (* x (- (* -3/2 x) 1)) 1)
(- (* x (- (* x (- (* -13/6 x) 3/2)) 1)) 1)
(/ 1 (- (exp x) 2))
(/ 1 (- (exp x) 2))
(/ 1 (- (exp x) 2))
(/ 1 (- (exp x) 2))
(/ 1 (- (exp x) 2))
(/ 1 (- (exp x) 2))
(/ 1 (- (exp x) 2))
(/ 1 (- (exp x) 2))
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (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)))
(* 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)))))
(* 1/20160 (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) (+ 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))))))))
(* 1/20160 (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 (pow x 6))))))
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
Outputs
x
(* x (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(* 1/20160 (pow x 7))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/20160 (pow x 7))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
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(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(+ (exp x) (/ 1 (- (exp x) 2)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(+ (exp x) (/ 1 (- (exp x) 2)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(+ (exp x) (/ 1 (- (exp x) 2)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -3/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -3/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -13/6 x) 3/2)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -13/6 binary64) #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/ 1 (- (exp x) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/ 1 (- (exp x) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/ 1 (- (exp x) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/ 1 (- (exp x) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/ 1 (- (exp x) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/ 1 (- (exp x) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/ 1 (- (exp x) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/ 1 (- (exp x) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* 1/20160 (pow x 3))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* 1/20160 (pow x 3))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
1/360
#s(literal 1/360 binary64)
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 8 binary64)))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 8 binary64)))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 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) 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))

eval202.0ms (1.2%)

Memory
15.5MiB live, 445.0MiB allocated
Compiler

Compiled 46 407 to 3 292 computations (92.9% saved)

prune229.0ms (1.4%)

Memory
-12.1MiB live, 410.6MiB allocated
Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New1 494191 513
Fresh257
Picked415
Done011
Total1 500261 526
Accuracy
100.0%
Counts
1 526 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.0%
(fma.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal -2 binary64) #s(literal 4 binary64))) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
55.1%
(fma.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
98.3%
(fma.f64 x x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
54.7%
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
18.0%
(/.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)))) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
7.1%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
56.1%
(/.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
54.7%
(/.f64 (-.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 4 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (exp.f64 (*.f64 x #s(literal -3 binary64)))))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))))))
54.7%
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (exp.f64 (+.f64 x x))))
55.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
54.7%
(+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x)))
54.8%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
54.7%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
98.3%
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
51.2%
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
98.3%
(*.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)
98.7%
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
98.3%
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
98.7%
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
98.7%
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) x x))
98.7%
(*.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
13.4%
(*.f64 x (*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
98.7%
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
98.3%
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
97.8%
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))
96.9%
(*.f64 x x)
Compiler

Compiled 1 257 to 604 computations (51.9% saved)

simplify384.0ms (2.4%)

Memory
6.3MiB live, 613.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
cost-diff0
(/.f64 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
cost-diff6592
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
cost-diff7424
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
cost-diff0
(cosh.f64 x)
cost-diff0
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
cost-diff-64
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
cost-diff0
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
cost-diff0
(fma.f64 x x #s(literal 0 binary64))
cost-diff0
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
cost-diff-64
(*.f64 x x)
cost-diff0
(fma.f64 x x #s(literal 0 binary64))
cost-diff0
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
cost-diff0
(fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
cost-diff64
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x)
Rules
9 988×accelerator-lowering-fma.f32
9 988×accelerator-lowering-fma.f64
4 416×*-lowering-*.f32
4 416×*-lowering-*.f64
1 662×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038236
1115226
2349217
3967217
42488213
53659213
64742213
75576213
86752213
08074195
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (+ (* (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12) (* x (+ (* x x) 0))) x))
x
(+ (* (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12) (* x (+ (* x x) 0))) x)
(+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)
(* x (+ (* (+ (* x x) 0) 1/20160) 1/360))
(+ (* (+ (* x x) 0) 1/20160) 1/360)
(+ (* x x) 0)
0
1/20160
1/360
1/12
(* x (+ (* x x) 0))
(* x x)
x
(* (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/360) 1/12)) 1) (+ (* x x) 0))
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/360) 1/12)) 1)
(+ (* x x) 0)
x
0
(+ (* (+ (* x x) 0) 1/360) 1/12)
1/360
1/12
1
(+ (* 2 (cosh x)) -2)
2
(cosh x)
x
-2
(/ 1 (/ (* (exp x) (+ (exp x) 2)) (+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2))))
1
(/ (* (exp x) (+ (exp x) 2)) (+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2)))
(* (exp x) (+ (exp x) 2))
(exp x)
x
(+ (exp x) 2)
2
(+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2))
(+ (exp (+ x x)) -4)
(exp (+ x x))
(+ x x)
-4
Outputs
(* x (+ (* (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12) (* x (+ (* x x) 0))) x))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 0 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
x
(+ (* (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12) (* x (+ (* x x) 0))) x)
(fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 0 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 0 binary64)) #s(literal 1/12 binary64))
(* x (+ (* (+ (* x x) 0) 1/20160) 1/360))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 0 binary64))
(+ (* (+ (* x x) 0) 1/20160) 1/360)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
0
#s(literal 0 binary64)
1/20160
#s(literal 1/20160 binary64)
1/360
#s(literal 1/360 binary64)
1/12
#s(literal 1/12 binary64)
(* x (+ (* x x) 0))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
(* (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/360) 1/12)) 1) (+ (* x x) 0))
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/360) 1/12)) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(+ (* (+ (* x x) 0) 1/360) 1/12)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
1/360
#s(literal 1/360 binary64)
1/12
#s(literal 1/12 binary64)
1
#s(literal 1 binary64)
(+ (* 2 (cosh x)) -2)
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
2
#s(literal 2 binary64)
(cosh x)
(cosh.f64 x)
x
-2
#s(literal -2 binary64)
(/ 1 (/ (* (exp x) (+ (exp x) 2)) (+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2))))
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
1
#s(literal 1 binary64)
(/ (* (exp x) (+ (exp x) 2)) (+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2)))
(/.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)))
(* (exp x) (+ (exp x) 2))
(*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(exp x)
(exp.f64 x)
x
(+ (exp x) 2)
(+.f64 #s(literal 2 binary64) (exp.f64 x))
2
#s(literal 2 binary64)
(+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2))
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64))
(+ (exp (+ x x)) -4)
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))
(exp (+ x x))
(exp.f64 (+.f64 x x))
(+ x x)
(+.f64 x x)
-4
#s(literal -4 binary64)

localize359.0ms (2.2%)

Memory
-17.9MiB live, 646.3MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy99.8%
(/.f64 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
accuracy98.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
accuracy54.8%
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
accuracy100.0%
(cosh.f64 x)
accuracy54.7%
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
accuracy100.0%
(fma.f64 x x #s(literal 0 binary64))
accuracy100.0%
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64))
accuracy100.0%
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
accuracy100.0%
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
accuracy100.0%
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
accuracy99.9%
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
accuracy99.6%
(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
Samples
187.0ms144×2valid
52.0ms70×1valid
52.0ms33×3valid
3.0ms0valid
Compiler

Compiled 235 to 40 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 246.0ms
ival-mult: 74.0ms (30.1% of total)
ival-cosh: 52.0ms (21.2% of total)
ival-exp: 38.0ms (15.5% of total)
ival-add: 36.0ms (14.7% of total)
adjust: 21.0ms (8.5% of total)
const: 16.0ms (6.5% of total)
ival-div: 5.0ms (2% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory
-7.4MiB live, 33.5MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#<alt (+ (* (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12) (* x (+ (* x x) 0))) x)>
#<alt (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)>
#<alt (+ (* (+ (* x x) 0) 1/20160) 1/360)>
#<alt (+ (* x x) 0)>
#<alt (* x x)>
#<alt (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/360) 1/12)) 1)>
#<alt (+ (* (+ (* x x) 0) 1/360) 1/12)>
#<alt (* (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/360) 1/12)) 1) (+ (* x x) 0))>
#<alt (+ (* 2 (cosh x)) -2)>
#<alt (cosh x)>
#<alt (/ 1 (/ (* (exp x) (+ (exp x) 2)) (+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2))))>
#<alt (+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2))>
#<alt (/ (* (exp x) (+ (exp x) 2)) (+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2)))>
#<alt (* (exp x) (+ (exp x) 2))>
#<alt (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))>
#<alt (* x (+ (* x x) 0))>
#<alt (* x (+ (* (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12) (* x (+ (* x x) 0))) x))>
#<alt (+ (exp x) 2)>
Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt 1/360>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (* (exp x) (+ 2 (exp x))))>
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (* (exp x) (+ 2 (exp x))))>
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (* (exp x) (+ 2 (exp x))))>
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (* (exp x) (+ 2 (exp x))))>
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (* (exp x) (+ 2 (exp x))))>
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (* (exp x) (+ 2 (exp x))))>
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (* (exp x) (+ 2 (exp x))))>
#<alt (/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (* (exp x) (+ 2 (exp x))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* 4 x)))>
#<alt (* (pow x 2) (+ 3 (* x (+ 4 (* 13/4 x)))))>
#<alt (* (pow x 2) (+ 3 (* x (+ 4 (* x (+ 13/4 (* 2 x)))))))>
#<alt (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4))))>
#<alt (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4))))>
#<alt (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4))))>
#<alt (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4))))>
#<alt (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4))))>
#<alt (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4))))>
#<alt (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4))))>
#<alt (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* -1/12 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))) (pow x 2))>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/6048 (pow x 2)))) 1/12))) (pow x 2))>
#<alt (/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))))>
#<alt (/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))))>
#<alt (/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))))>
#<alt (/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))))>
#<alt (/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))))>
#<alt (/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))))>
#<alt (/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))))>
#<alt (/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))))>
#<alt 3>
#<alt (+ 3 (* 4 x))>
#<alt (+ 3 (* x (+ 4 (* 3 x))))>
#<alt (+ 3 (* x (+ 4 (* x (+ 3 (* 5/3 x))))))>
#<alt (* (exp x) (+ 2 (exp x)))>
#<alt (* (exp x) (+ 2 (exp x)))>
#<alt (* (exp x) (+ 2 (exp x)))>
#<alt (* (exp x) (+ 2 (exp x)))>
#<alt (* (exp x) (+ 2 (exp x)))>
#<alt (* (exp x) (+ 2 (exp x)))>
#<alt (* (exp x) (+ 2 (exp x)))>
#<alt (* (exp x) (+ 2 (exp x)))>
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 3>
#<alt (+ 3 x)>
#<alt (+ 3 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 3 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
#<alt (+ 2 (exp x))>
Calls

54 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/ 1 (/ (* (exp x) (+ (exp x) 2)) (+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2))))
3.0ms
x
@0
(+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2))
1.0ms
x
@inf
(/ 1 (/ (* (exp x) (+ (exp x) 2)) (+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2))))
1.0ms
x
@-inf
(/ 1 (/ (* (exp x) (+ (exp x) 2)) (+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2))))
1.0ms
x
@inf
(+ (* 2 (cosh x)) -2)

rewrite546.0ms (3.3%)

Memory
6.3MiB live, 858.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 728×accelerator-lowering-fma.f32
5 728×accelerator-lowering-fma.f64
4 366×*-lowering-*.f32
4 366×*-lowering-*.f64
4 184×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038200
1265165
22645165
09528143
Stop Event
iter limit
node limit
Counts
18 → 939
Calls
Call 1
Inputs
(+ (* (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12) (* x (+ (* x x) 0))) x)
(+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)
(+ (* (+ (* x x) 0) 1/20160) 1/360)
(+ (* x x) 0)
(* x x)
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/360) 1/12)) 1)
(+ (* (+ (* x x) 0) 1/360) 1/12)
(* (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) 1/360) 1/12)) 1) (+ (* x x) 0))
(+ (* 2 (cosh x)) -2)
(cosh x)
(/ 1 (/ (* (exp x) (+ (exp x) 2)) (+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2))))
(+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2))
(/ (* (exp x) (+ (exp x) 2)) (+ (* (exp x) (+ (exp (+ x x)) -4)) (+ (exp x) 2)))
(* (exp x) (+ (exp x) 2))
(* x (+ (* (+ (* x x) 0) 1/20160) 1/360))
(* x (+ (* x x) 0))
(* x (+ (* (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12) (* x (+ (* x x) 0))) x))
(+ (exp x) 2)
Outputs
(+.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x)
(-.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) (/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))))
(fma.f64 x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x)
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x)
(fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) x)
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (fma.f64 x x #s(literal 0 binary64)) x)
(fma.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 0 binary64))) x x)
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x)
(fma.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) x)
(fma.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) x)
(fma.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x)
(fma.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) x)
(fma.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) x)
(fma.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)) (*.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)))))
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(/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))))
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x))
(*.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) x)
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5/9 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 5/9 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 9 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -3 binary64))))
(/.f64 #s(literal 3 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 #s(literal 9 binary64) (-.f64 #s(literal 5 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 #s(literal 9 binary64) (+.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))))
(/.f64 #s(literal 9 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 5 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))))))
(/.f64 #s(literal -3 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal -3 binary64) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(literal -3 binary64) (neg.f64 (-.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 #s(literal -9 binary64) (neg.f64 (-.f64 #s(literal 5 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))))
(/.f64 #s(literal -9 binary64) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)))
(pow.f64 (-.f64 #s(literal 5/9 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 9 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 5 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))))
(*.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))

simplify392.0ms (2.4%)

Memory
-12.2MiB live, 699.2MiB allocated
Algorithm
egg-herbie
Rules
11 472×accelerator-lowering-fma.f32
11 472×accelerator-lowering-fma.f64
3 970×*-lowering-*.f32
3 970×*-lowering-*.f64
2 492×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01822044
15861990
214971939
341031938
084161799
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
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)))))
(* 1/20160 (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 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))))))
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (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)))))
(* 1/20160 (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)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (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 (* 1/360 (pow x 2))))))
(* 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))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 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))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (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))))))))
(- (+ (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) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp 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)))))))
(* 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))))
(* 1/2 (+ (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))))
(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))))))))
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (* (exp x) (+ 2 (exp x))))
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (* (exp x) (+ 2 (exp x))))
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (* (exp x) (+ 2 (exp x))))
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))) (* (exp x) (+ 2 (exp x))))
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (* (exp x) (+ 2 (exp x))))
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (* (exp x) (+ 2 (exp x))))
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (* (exp x) (+ 2 (exp x))))
(/ (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))) (* (exp x) (+ 2 (exp x))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 4 x)))
(* (pow x 2) (+ 3 (* x (+ 4 (* 13/4 x)))))
(* (pow x 2) (+ 3 (* x (+ 4 (* x (+ 13/4 (* 2 x)))))))
(+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4))))
(+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4))))
(+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4))))
(+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4))))
(+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4))))
(+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4))))
(+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4))))
(+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4))))
(/ 1 (pow x 2))
(/ (+ 1 (* -1/12 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/6048 (pow x 2)))) 1/12))) (pow x 2))
(/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))))
(/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))))
(/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))))
(/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))))
(/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))))
(/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))))
(/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))))
(/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))))
3
(+ 3 (* 4 x))
(+ 3 (* x (+ 4 (* 3 x))))
(+ 3 (* x (+ 4 (* x (+ 3 (* 5/3 x))))))
(* (exp x) (+ 2 (exp x)))
(* (exp x) (+ 2 (exp x)))
(* (exp x) (+ 2 (exp x)))
(* (exp x) (+ 2 (exp x)))
(* (exp x) (+ 2 (exp x)))
(* (exp x) (+ 2 (exp x)))
(* (exp x) (+ 2 (exp x)))
(* (exp x) (+ 2 (exp x)))
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(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))))))))
(* 1/20160 (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 (pow x 6))))))
3
(+ 3 x)
(+ 3 (* x (+ 1 (* 1/2 x))))
(+ 3 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
Outputs
x
(* x (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(* 1/20160 (pow x 7))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
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(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64))
(+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4))))
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64))
(+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4))))
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64))
(+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4))))
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64))
(+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4))))
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64))
(+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4))))
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64))
(+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4))))
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1/12 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))) (pow x 2))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal -1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/6048 (pow x 2)))) 1/12))) (pow x 2))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/6048 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))))
(/.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)))
(/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))))
(/.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)))
(/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))))
(/.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)))
(/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (* 2 x)) 4)))))
(/.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)))
(/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))))
(/.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)))
(/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))))
(/.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)))
(/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))))
(/.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)))
(/ (* (exp x) (+ 2 (exp x))) (+ 2 (+ (exp x) (* (exp x) (- (exp (neg (* -2 x))) 4)))))
(/.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)))
3
#s(literal 3 binary64)
(+ 3 (* 4 x))
(fma.f64 x #s(literal 4 binary64) #s(literal 3 binary64))
(+ 3 (* x (+ 4 (* 3 x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) #s(literal 3 binary64))
(+ 3 (* x (+ 4 (* x (+ 3 (* 5/3 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 5/3 binary64) #s(literal 3 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64))
(* (exp x) (+ 2 (exp x)))
(*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(* (exp x) (+ 2 (exp x)))
(*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(* (exp x) (+ 2 (exp x)))
(*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(* (exp x) (+ 2 (exp x)))
(*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(* (exp x) (+ 2 (exp x)))
(*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(* (exp x) (+ 2 (exp x)))
(*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(* (exp x) (+ 2 (exp x)))
(*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(* (exp x) (+ 2 (exp x)))
(*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* 1/20160 (pow x 3))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* 1/20160 (pow x 3))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 8 binary64)))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 8 binary64)))
3
#s(literal 3 binary64)
(+ 3 x)
(+.f64 x #s(literal 3 binary64))
(+ 3 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))
(+ 3 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))

eval329.0ms (2%)

Memory
-2.4MiB live, 515.9MiB allocated
Compiler

Compiled 50 717 to 4 241 computations (91.6% saved)

prune235.0ms (1.4%)

Memory
30.2MiB live, 493.7MiB allocated
Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New1 489161 505
Fresh10919
Picked235
Done022
Total1 501301 531
Accuracy
100.0%
Counts
1 531 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.8%
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))
26.4%
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))
55.1%
(fma.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
98.3%
(fma.f64 x x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
52.7%
(fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
53.1%
(fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
52.2%
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
54.7%
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
18.0%
(/.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)))) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
56.1%
(/.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
55.0%
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
54.7%
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (exp.f64 (+.f64 x x))))
96.6%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
55.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
54.7%
(+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x)))
54.8%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
54.7%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
98.3%
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x))
51.2%
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
98.7%
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
98.3%
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
98.3%
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
49.8%
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) x))
98.7%
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal 1/20160 binary64) x) x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
98.7%
(*.f64 x (fma.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
96.9%
(*.f64 x (fma.f64 (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
98.7%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
98.3%
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
97.8%
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))
96.9%
(*.f64 x x)
Compiler

Compiled 1 351 to 614 computations (54.6% saved)

simplify533.0ms (3.3%)

Memory
-16.6MiB live, 791.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
cost-diff192
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
cost-diff3392
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
cost-diff12288
(/.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)))) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
cost-diff-64
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
cost-diff0
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))
cost-diff-64
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
cost-diff0
(fma.f64 x x #s(literal 0 binary64))
cost-diff0
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x)
cost-diff64
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff704
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
cost-diff0
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
cost-diff0
(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
cost-diff0
(fma.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x)
cost-diff192
(+.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64))
Rules
13 684×accelerator-lowering-fma.f32
13 684×accelerator-lowering-fma.f64
6 754×*-lowering-*.f32
6 754×*-lowering-*.f64
2 264×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057605
1216559
2677551
34891509
08214446
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (+ (* (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12) (* x (+ (* x x) 0))) x))
x
(+ (* (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12) (* x (+ (* x x) 0))) x)
(+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)
(* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360)))
(* x (+ (* (+ (* x x) 0) 1/20160) 1/360))
(+ (* (+ (* x x) 0) 1/20160) 1/360)
(+ (* x x) 0)
0
1/20160
1/360
1/12
(* x (+ (* x x) 0))
(+ (* 2 (+ (* x (* x 1/2)) 1)) -2)
2
(+ (* x (* x 1/2)) 1)
x
(* x 1/2)
1/2
1
-2
(* x (+ (* (+ (* (* x x) 1/360) 1/12) (* x (+ (* x x) 0))) x))
x
(+ (* (+ (* (* x x) 1/360) 1/12) (* x (+ (* x x) 0))) x)
(+ (* (* x x) 1/360) 1/12)
(* x x)
1/360
1/12
(* x (+ (* x x) 0))
(+ (* x x) 0)
0
(* x (* x (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12)) 1)))
x
(* x (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12)) 1))
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12)) 1)
(* x x)
(+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12)
(* x (+ (* (* x x) 1/20160) 1/360))
(+ (* (* x x) 1/20160) 1/360)
1/20160
1/360
1/12
1
(/ (+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0) (* (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1) (* (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)))) 0) (+ (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0) (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0)) (- 0 (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0) 0))))
(+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0) (* (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1) (* (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)))) 0)
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)
(+ (* x x) 0)
x
0
(+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)
(* (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1) (* (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)))
(+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)
(* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))
(+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)
(* x (+ (* (+ (* x x) 0) 1/20160) 1/360))
(+ (* (+ (* x x) 0) 1/20160) 1/360)
1/20160
1/360
1/12
1
(* (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1))
(+ (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0) (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0)) (- 0 (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0) 0)))
(+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0)
(- 0 (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0) 0))
(* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0) 0)
Outputs
(* x (+ (* (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12) (* x (+ (* x x) 0))) x))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
x
(+ (* (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12) (* x (+ (* x x) 0))) x)
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 0 binary64))
(* x (+ (* (+ (* x x) 0) 1/20160) 1/360))
(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(+ (* (+ (* x x) 0) 1/20160) 1/360)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
0
#s(literal 0 binary64)
1/20160
#s(literal 1/20160 binary64)
1/360
#s(literal 1/360 binary64)
1/12
#s(literal 1/12 binary64)
(* x (+ (* x x) 0))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* 2 (+ (* x (* x 1/2)) 1)) -2)
(fma.f64 x x #s(literal 0 binary64))
2
#s(literal 2 binary64)
(+ (* x (* x 1/2)) 1)
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
-2
#s(literal -2 binary64)
(* x (+ (* (+ (* (* x x) 1/360) 1/12) (* x (+ (* x x) 0))) x))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
x
(+ (* (+ (* (* x x) 1/360) 1/12) (* x (+ (* x x) 0))) x)
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* (* x x) 1/360) 1/12)
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
1/360
#s(literal 1/360 binary64)
1/12
#s(literal 1/12 binary64)
(* x (+ (* x x) 0))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
0
#s(literal 0 binary64)
(* x (* x (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12)) 1)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
x
(* x (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12)) 1))
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12)) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* x (+ (* (* x x) 1/20160) 1/360))
(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(+ (* (* x x) 1/20160) 1/360)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
1/20160
#s(literal 1/20160 binary64)
1/360
#s(literal 1/360 binary64)
1/12
#s(literal 1/12 binary64)
1
#s(literal 1 binary64)
(/ (+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0) (* (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1) (* (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)))) 0) (+ (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0) (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0)) (- 0 (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0) 0))))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0) (* (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1) (* (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)))) 0)
(fma.f64 x (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1) (* (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))
(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* x (+ (* (+ (* x x) 0) 1/20160) 1/360))
(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(+ (* (+ (* x x) 0) 1/20160) 1/360)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
1/20160
#s(literal 1/20160 binary64)
1/360
#s(literal 1/360 binary64)
1/12
#s(literal 1/12 binary64)
1
#s(literal 1 binary64)
(* (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(+ (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0) (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0)) (- 0 (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0) 0)))
(fma.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(- 0 (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0) 0))
#s(literal 0 binary64)
(* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0) 0)
#s(literal 0 binary64)

localize490.0ms (3%)

Memory
11.7MiB live, 956.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
accuracy99.6%
(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
accuracy99.5%
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))
accuracy20.5%
(/.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)))) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
accuracy100.0%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
accuracy100.0%
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
accuracy100.0%
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
accuracy99.6%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
accuracy100.0%
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x)
accuracy100.0%
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
accuracy100.0%
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
accuracy99.9%
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
accuracy100.0%
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy54.6%
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
accuracy100.0%
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
accuracy99.9%
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
accuracy99.7%
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))
accuracy99.6%
(*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
Samples
274.0ms177×2valid
56.0ms70×1valid
6.0ms0valid
Compiler

Compiled 813 to 59 computations (92.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 277.0ms
ival-mult: 113.0ms (40.8% of total)
adjust: 72.0ms (26% of total)
ival-add: 65.0ms (23.5% of total)
const: 16.0ms (5.8% of total)
ival-div: 6.0ms (2.2% of total)
ival-sub: 3.0ms (1.1% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
28.1MiB live, 28.1MiB allocated
Counts
24 → 288
Calls
Call 1
Inputs
#<alt (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)>
#<alt (+ (* (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12) (* x (+ (* x x) 0))) x)>
#<alt (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))>
#<alt (+ (* (+ (* x x) 0) 1/20160) 1/360)>
#<alt (+ (* 2 (+ (* x (* x 1/2)) 1)) -2)>
#<alt (+ (* x (* x 1/2)) 1)>
#<alt (* x 1/2)>
#<alt (+ (* (* x x) 1/360) 1/12)>
#<alt (+ (* (+ (* (* x x) 1/360) 1/12) (* x (+ (* x x) 0))) x)>
#<alt (+ (* x x) 0)>
#<alt (* x (+ (* (+ (* (* x x) 1/360) 1/12) (* x (+ (* x x) 0))) x))>
#<alt (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12)) 1)>
#<alt (* x (+ (* (* x x) 1/20160) 1/360))>
#<alt (+ (* (* x x) 1/20160) 1/360)>
#<alt (* x (* x (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12)) 1)))>
#<alt (/ (+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0) (* (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1) (* (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)))) 0) (+ (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0) (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0)) (- 0 (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0) 0))))>
#<alt (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0) 0)>
#<alt (- 0 (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0) 0))>
#<alt (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)>
#<alt (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360)))>
#<alt (* x (+ (* x x) 0))>
#<alt (* x (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12)) 1))>
#<alt (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))>
#<alt (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)>
Outputs
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))>
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt 1/360>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt 1/360>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 5))>
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 5))>
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
Calls

72 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0) (* (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1) (* (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)))) 0) (+ (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0) (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0)) (- 0 (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0) 0))))
1.0ms
x
@0
(+ (* 2 (+ (* x (* x 1/2)) 1)) -2)
0.0ms
x
@inf
(+ (* 2 (+ (* x (* x 1/2)) 1)) -2)
0.0ms
x
@0
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)
0.0ms
x
@inf
(+ (* (+ (* (* x x) 1/360) 1/12) (* x (+ (* x x) 0))) x)

rewrite725.0ms (4.4%)

Memory
-32.6MiB live, 1 227.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 258×accelerator-lowering-fma.f32
6 258×accelerator-lowering-fma.f64
4 248×*-lowering-*.f32
4 248×*-lowering-*.f64
2 370×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056270
1453232
23821232
08454202
Stop Event
iter limit
node limit
Counts
24 → 1 451
Calls
Call 1
Inputs
(+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12)
(+ (* (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12) (* x (+ (* x x) 0))) x)
(* x (+ (* (+ (* x x) 0) 1/20160) 1/360))
(+ (* (+ (* x x) 0) 1/20160) 1/360)
(+ (* 2 (+ (* x (* x 1/2)) 1)) -2)
(+ (* x (* x 1/2)) 1)
(* x 1/2)
(+ (* (* x x) 1/360) 1/12)
(+ (* (+ (* (* x x) 1/360) 1/12) (* x (+ (* x x) 0))) x)
(+ (* x x) 0)
(* x (+ (* (+ (* (* x x) 1/360) 1/12) (* x (+ (* x x) 0))) x))
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12)) 1)
(* x (+ (* (* x x) 1/20160) 1/360))
(+ (* (* x x) 1/20160) 1/360)
(* x (* x (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12)) 1)))
(/ (+ (* (+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0) (* (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1) (* (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)))) 0) (+ (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0) (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0)) (- 0 (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0) 0))))
(* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0) 0)
(- 0 (* (+ (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))) 1)) 0) 0))
(+ (* (+ (* x x) 0) (+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)) 0)
(* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360)))
(* x (+ (* x x) 0))
(* x (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12)) 1))
(* x (+ (* x (* x (+ (* (+ (* x x) 0) 1/20160) 1/360))) 1/12))
(+ (* (+ (* x x) 0) (+ (* x x) 0)) 0)
Outputs
(+.f64 #s(literal 1/12 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))
(+.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) x #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/144 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))) (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/1728 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal -1/144 binary64))))
(/.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/1728 binary64)) (-.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/144 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))))
(/.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) (*.f64 #s(literal 1/12 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))))
(/.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal -1/144 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/1728 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/144 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal -1/144 binary64))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))) (-.f64 #s(literal 1/12 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))
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(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
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(/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
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(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)))

simplify1.0s (6.1%)

Memory
9.1MiB live, 640.0MiB allocated
Algorithm
egg-herbie
Rules
13 090×accelerator-lowering-fma.f32
13 090×accelerator-lowering-fma.f64
4 060×*-lowering-*.f32
4 060×*-lowering-*.f64
1 716×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01112194
13942158
210462142
329872138
465152138
083961987
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
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)))))
(* 1/20160 (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 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))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (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)))
(* 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)))))
(* 1/20160 (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)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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 (* 1/360 (pow x 2))))))
(* 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))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 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))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
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(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
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(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
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(* 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)))))
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(* 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) (+ 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))))))))
(* 1/20160 (pow x 8))
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(* 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 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))))))))
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(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
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(* 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))))))
0
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(pow x 6)
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(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
Outputs
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 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(* 1/20160 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(* 1/20160 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(* 1/20160 (pow x 7))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* 1/20160 (pow x 7))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))) #s(literal 0 binary64))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 0 binary64))
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
1/360
#s(literal 1/360 binary64)
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #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)
(*.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)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
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 (* 1/360 (pow x 2)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #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))
(* 1/360 (pow x 2))
(*.f64 #s(literal 1/360 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(*.f64 #s(literal 1/360 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(* 1/360 (pow x 5))
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* 1/360 (pow x 5))
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.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)
(*.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)
(*.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))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(* 1/360 (pow x 6))
(*.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (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))) (/ 1 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/360 (pow x 6))
(*.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (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))) (/ 1 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.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 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* 1/20160 (pow x 6))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (*.f64 x (*.f64 x x)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(* 1/20160 (pow x 6))
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(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))

eval1.0s (6.4%)

Memory
47.0MiB live, 1 400.7MiB allocated
Compiler

Compiled 386 491 to 8 754 computations (97.7% saved)

prune521.0ms (3.2%)

Memory
14.0MiB live, 1 168.3MiB allocated
Pruning

36 alts after pruning (30 fresh and 6 done)

PrunedKeptTotal
New3 624183 642
Fresh81220
Picked415
Done055
Total3 636363 672
Accuracy
100.0%
Counts
3 672 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.9%
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
26.4%
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))
55.1%
(fma.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
52.7%
(fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
53.1%
(fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
54.7%
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
18.0%
(/.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)))) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
7.7%
(/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)))) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
56.1%
(/.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
55.0%
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
54.7%
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (exp.f64 (+.f64 x x))))
96.6%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
55.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
52.2%
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))
54.7%
(+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x)))
54.8%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
54.7%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
52.3%
(+.f64 (+.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 2 binary64))
17.9%
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)))) (fma.f64 x (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))
12.1%
(*.f64 (pow.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))))) #s(literal 0 binary64))))
98.7%
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
98.3%
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
98.7%
(*.f64 x (fma.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) x #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
98.3%
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))) x))
49.8%
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) x))
98.7%
(*.f64 x (fma.f64 (+.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) x) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
33.0%
(*.f64 x (fma.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64)) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) x))
98.7%
(*.f64 x (fma.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64)) (*.f64 x (+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))) x))
98.3%
(*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x x))
51.6%
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))
98.7%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
97.8%
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))
51.3%
(*.f64 x (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (*.f64 x (*.f64 x x)))))
51.1%
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
51.2%
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
96.9%
(*.f64 x x)
Compiler

Compiled 3 063 to 733 computations (76.1% saved)

regimes38.0ms (0.2%)

Memory
-9.7MiB live, 70.3MiB allocated
Counts
66 → 1
Calls
Call 1
Inputs
(*.f64 x x)
(fma.f64 x x #s(literal 0 binary64))
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (+.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x x))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
(fma.f64 x x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(*.f64 x (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (*.f64 x (*.f64 x x)))))
(*.f64 x (fma.f64 (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) x x))
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal 1/20160 binary64) x) x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) x #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(*.f64 x (fma.f64 (+.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) x) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 x (fma.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(*.f64 x (fma.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64)) (*.f64 x (+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))) x))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(*.f64 x (fma.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64)) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) x))
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) x))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 x (*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(+.f64 (-.f64 (exp.f64 x) #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)))
(/.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)))) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)))) (fma.f64 x (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)))) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))))) #s(literal 0 binary64))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)))) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal -2 binary64) #s(literal 4 binary64))) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 4 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (exp.f64 (*.f64 x #s(literal -3 binary64)))))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (exp.f64 (+.f64 x x))))
Outputs
(*.f64 x (fma.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64)) (*.f64 x (+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))) x))
Calls

2 calls:

19.0ms
x
16.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
98.7%1x
98.7%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes47.0ms (0.3%)

Memory
-12.7MiB live, 25.0MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
(*.f64 x x)
(fma.f64 x x #s(literal 0 binary64))
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (+.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x x))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
(fma.f64 x x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(*.f64 x (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (*.f64 x (*.f64 x x)))))
(*.f64 x (fma.f64 (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) x x))
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal 1/20160 binary64) x) x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) x #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(*.f64 x (fma.f64 (+.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) x) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 x (fma.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
Outputs
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal 1/20160 binary64) x) x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
Calls

2 calls:

37.0ms
x
8.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
98.7%1x
98.7%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes17.0ms (0.1%)

Memory
28.0MiB live, 28.0MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
(*.f64 x x)
(fma.f64 x x #s(literal 0 binary64))
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (+.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x x))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
(fma.f64 x x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(*.f64 x (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (*.f64 x (*.f64 x x)))))
(*.f64 x (fma.f64 (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) x x))
Outputs
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) x x))
Calls

2 calls:

9.0ms
x
7.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
98.7%1x
98.7%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes18.0ms (0.1%)

Memory
-5.7MiB live, 31.8MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
(*.f64 x x)
(fma.f64 x x #s(literal 0 binary64))
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (+.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x x))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
(fma.f64 x x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(*.f64 x (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (*.f64 x (*.f64 x x)))))
(*.f64 x (fma.f64 (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
Outputs
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
Calls

2 calls:

9.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
9.0ms
x
Results
AccuracySegmentsBranch
98.7%1x
98.7%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes18.0ms (0.1%)

Memory
-17.6MiB live, 24.6MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 x x)
(fma.f64 x x #s(literal 0 binary64))
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (+.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x x))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
(fma.f64 x x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(*.f64 x (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (*.f64 x (*.f64 x x)))))
(*.f64 x (fma.f64 (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
Outputs
(fma.f64 x x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
Calls

2 calls:

10.0ms
x
6.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
98.3%1x
98.3%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes14.0ms (0.1%)

Memory
20.6MiB live, 20.6MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
(*.f64 x x)
(fma.f64 x x #s(literal 0 binary64))
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (+.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x x))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
Outputs
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))) x))
Calls

2 calls:

7.0ms
x
6.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
98.3%1x
98.3%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes13.0ms (0.1%)

Memory
-15.8MiB live, 22.1MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 x x)
(fma.f64 x x #s(literal 0 binary64))
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (+.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x x))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x)
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
Outputs
(*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x x))
Calls

2 calls:

7.0ms
x
5.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
98.3%1x
98.3%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 x x)
(fma.f64 x x #s(literal 0 binary64))
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (+.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
Outputs
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
Calls

2 calls:

4.0ms
x
3.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
98.3%1x
98.3%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes7.0ms (0%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 x x)
(fma.f64 x x #s(literal 0 binary64))
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (+.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
Outputs
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))
Calls

2 calls:

4.0ms
x
3.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
97.8%1x
97.8%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0%)

Memory
-26.5MiB live, 10.2MiB allocated
Accuracy

Total -28.6b remaining (-1427.3%)

Threshold costs -28.6b (-1427.3%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 x x)
(fma.f64 x x #s(literal 0 binary64))
(+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))
(+.f64 (+.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
Outputs
(*.f64 x x)
Calls

2 calls:

4.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
2.0ms
x
Results
AccuracySegmentsBranch
96.9%1x
96.9%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify9.0ms (0.1%)

Memory
19.1MiB live, 19.1MiB allocated
Algorithm
egg-herbie
Rules
52×*-commutative_binary64
+-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057168
187168
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (fma.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64)) (*.f64 x (+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))) x))
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal 1/20160 binary64) x) x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) x x))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(fma.f64 x x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))) x))
(*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x x))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(*.f64 x x)
Outputs
(*.f64 x (fma.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64)) (*.f64 x (+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))) x))
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 #s(literal 1/20160 binary64) x) x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/20160 binary64)) x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) x x))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(fma.f64 x x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (+.f64 (fma.f64 x x #s(literal 2 binary64)) #s(literal -2 binary64))) x))
(*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x x))
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x x))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(*.f64 x x)

soundness1.3s (8.3%)

Memory
-2.8MiB live, 1 040.3MiB allocated
Rules
17 068×accelerator-lowering-fma.f32
17 068×accelerator-lowering-fma.f64
14 122×accelerator-lowering-fma.f32
14 122×accelerator-lowering-fma.f64
11 472×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01822044
15861990
214971939
341031938
084161799
01772027
15221996
212891944
335941943
082891795
060269
1168268
2397262
31053262
41755262
53019262
63833262
75252262
86659262
08202241
036192
1272190
22795182
09138163
038200
1265165
22645165
09528143
056270
1453232
23821232
08454202
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 382 to 187 computations (51% saved)

preprocess74.0ms (0.5%)

Memory
-1.7MiB live, 148.6MiB allocated
Remove

(abs x)

Compiler

Compiled 536 to 244 computations (54.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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