Hyperbolic sine

Time bar (total: 7.7s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 10 to 9 computations (10% saved)

sample1.5s (19.1%)

Memory
38.6MiB live, 2 114.2MiB allocated
Samples
601.0ms1 590×2valid
381.0ms2 417×1valid
212.0ms4 249×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-exp: 709.0ms (70.2% of total)
ival-div: 107.0ms (10.6% of total)
adjust: 77.0ms (7.6% of total)
ival-sub: 67.0ms (6.6% of total)
ival-neg: 35.0ms (3.5% of total)
ival-true: 6.0ms (0.6% of total)
exact: 5.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess44.0ms (0.6%)

Memory
1.6MiB live, 52.3MiB allocated
Algorithm
egg-herbie
Rules
276×lower-fma.f64
276×lower-fma.f32
180×lower-*.f64
180×lower-*.f32
88×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
13216
27616
317316
434616
550816
653116
078
0128
1238
2408
3678
41098
51688
62278
73498
84108
94198
04198
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
Symmetry

(negabs x)

explain178.0ms (2.3%)

Memory
-15.3MiB live, 178.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1320-0-(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #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 (exp.f64 x) (exp.f64 (neg.f64 x)))cancellation1320
Confusion
Predicted +Predicted -
+1320
-0124
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13200
-01123
Precision?
0.9924812030075187
Recall?
1.0
Freqs
test
numberfreq
0124
1132
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
54.0ms112×2valid
23.0ms142×1valid
18.0ms258×0valid
Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-exp: 57.0ms (73% of total)
ival-sub: 8.0ms (10.3% of total)
ival-div: 6.0ms (7.7% of total)
adjust: 4.0ms (5.1% of total)
ival-neg: 2.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.7%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize52.0ms (0.7%)

Memory
16.2MiB live, 91.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(exp.f64 (neg.f64 x))
accuracy100.0%
(exp.f64 x)
accuracy52.7%
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Samples
22.0ms56×2valid
11.0ms71×1valid
9.0ms129×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-exp: 25.0ms (74.3% of total)
ival-div: 3.0ms (8.9% of total)
adjust: 2.0ms (5.9% of total)
ival-sub: 2.0ms (5.9% of total)
ival-neg: 1.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))>
#<alt (exp.f64 x)>
#<alt (exp.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
Outputs
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<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))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

12 calls:

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

rewrite110.0ms (1.4%)

Memory
0.1MiB live, 167.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
928×lower-*.f64
928×lower-*.f32
890×lower-/.f64
890×lower-/.f32
794×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
0911
13311
220411
0192611
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
4 → 127
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 x))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) (neg.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(-.f64 (+.f64 (exp.f64 x) #s(literal 0 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) (neg.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64) (exp.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 x))
(fma.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) (neg.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) (neg.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x))
(fma.f64 (exp.f64 (*.f64 x #s(literal 3/2 binary64))) (/.f64 (exp.f64 (*.f64 x #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) (neg.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (cosh.f64 x)) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(fma.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (neg.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(neg.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(neg.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) (exp.f64 (-.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))))
(/.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) (exp.f64 (-.f64 (neg.f64 x) x))) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) (-.f64 (neg.f64 x) x)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))))))
(/.f64 (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (exp.f64 (fma.f64 x #s(literal -2 binary64) (-.f64 (neg.f64 x) x)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) (-.f64 (neg.f64 x) x))))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (*.f64 (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (exp.f64 (fma.f64 x #s(literal -2 binary64) (-.f64 (neg.f64 x) x)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) (exp.f64 (-.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) (fma.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) (*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (fma.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))))
(/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 x)))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))))) (+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (*.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) (fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) (-.f64 (neg.f64 x) x))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (exp.f64 (fma.f64 x #s(literal -2 binary64) (-.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))
(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (cosh.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))))
(*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.f64 (cosh.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x)))
(*.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))))
(*.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) (exp.f64 (-.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))))
(exp.f64 x)
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 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))))
(log.f64 (exp.f64 (neg.f64 x)))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(*.f64 x #s(literal -1 binary64))
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))

simplify406.0ms (5.3%)

Memory
-3.0MiB live, 386.8MiB allocated
Algorithm
egg-herbie
Rules
11 924×lower-fma.f64
11 924×lower-fma.f32
2 872×lower-*.f64
2 872×lower-*.f32
2 296×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055213
1155212
2346212
3881212
41389212
51752212
62439212
73206212
83594212
94304212
106742212
117765212
127811212
137829212
147837212
08318196
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
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))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
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 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

eval19.0ms (0.2%)

Memory
8.7MiB live, 46.5MiB allocated
Compiler

Compiled 3 414 to 560 computations (83.6% saved)

prune20.0ms (0.3%)

Memory
9.0MiB live, 47.6MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1696175
Fresh000
Picked101
Done000
Total1706176
Accuracy
100.0%
Counts
176 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.5%
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
100.0%
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
92.7%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
89.0%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
82.6%
(/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64))
53.8%
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
Compiler

Compiled 136 to 90 computations (33.8% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize112.0ms (1.5%)

Memory
-24.0MiB live, 221.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
accuracy99.9%
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
accuracy99.9%
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
accuracy99.9%
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))
accuracy100.0%
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
accuracy99.9%
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
accuracy99.9%
(*.f64 x #s(literal 1/60 binary64))
accuracy99.9%
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
accuracy100.0%
(/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)))
accuracy99.8%
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
accuracy100.0%
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
accuracy100.0%
(*.f64 #s(literal 2 binary64) x)
accuracy100.0%
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy100.0%
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
accuracy100.0%
(sinh.f64 x)
Samples
65.0ms256×0valid
Compiler

Compiled 224 to 34 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 21.0ms (44.5% of total)
const: 9.0ms (19.1% of total)
ival-add: 8.0ms (17% of total)
ival-div: 7.0ms (14.8% of total)
ival-sinh: 2.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-2.4MiB live, 34.4MiB allocated
Counts
17 → 204
Calls
Call 1
Inputs
#<alt (sinh.f64 x)>
#<alt (*.f64 (sinh.f64 x) #s(literal 2 binary64))>
#<alt (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))>
#<alt (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))>
#<alt (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)))>
#<alt (*.f64 x x)>
#<alt (/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))>
#<alt (*.f64 x #s(literal 1/60 binary64))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))>
#<alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (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 (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (- (exp x) (/ 1 (exp x)))>
#<alt (- (exp x) (/ 1 (exp x)))>
#<alt (- (exp x) (/ 1 (exp x)))>
#<alt (- (exp x) (/ 1 (exp x)))>
#<alt (- (exp x) (/ 1 (exp x)))>
#<alt (- (exp x) (/ 1 (exp x)))>
#<alt (- (exp x) (/ 1 (exp x)))>
#<alt (- (exp x) (/ 1 (exp x)))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (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 (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/3 (* 2 (/ 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 x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (* 1/60 (pow x 2))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/60 (pow x 2))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt (* 1/60 x)>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))>
#<alt (* 1/60 (pow x 4))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 1/60 (pow x 4))>
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* 1/60 (pow x 5))>
#<alt (* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 1/60 (pow x 5))>
#<alt (* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))>
#<alt (* 1/60 x)>
#<alt (* x (+ 1/60 (* 1/2520 (pow x 2))))>
#<alt (* x (+ 1/60 (* 1/2520 (pow x 2))))>
#<alt (* x (+ 1/60 (* 1/2520 (pow x 2))))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt 1/60>
#<alt (+ 1/60 (* 1/2520 (pow x 2)))>
#<alt (+ 1/60 (* 1/2520 (pow x 2)))>
#<alt (+ 1/60 (* 1/2520 (pow x 2)))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (* 1/2520 (pow x 7))>
#<alt (* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/2520 (pow x 7))>
#<alt (* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))>
Calls

51 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+ (* x (* x 1/60)) 1/3)
1.0ms
x
@inf
(sinh x)
1.0ms
x
@-inf
(sinh x)
1.0ms
x
@0
(* (sinh x) 2)
0.0ms
x
@0
(sinh x)

rewrite361.0ms (4.7%)

Memory
19.6MiB live, 573.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 644×lower-*.f32
4 626×lower-*.f64
4 466×lower-/.f32
4 460×lower-/.f64
4 128×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024123
049119
1213117
21417115
08143115
Stop Event
iter limit
node limit
iter limit
Counts
17 → 550
Calls
Call 1
Inputs
(sinh.f64 x)
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)))
(*.f64 x x)
(/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(*.f64 x #s(literal 1/60 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
Outputs
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 x)))
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
(neg.f64 (neg.f64 (sinh.f64 x)))
(sinh.f64 x)
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
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(*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))))))
(*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal -2 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))))) #s(literal 8 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))))) #s(literal -4 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal -2 binary64))))

simplify340.0ms (4.4%)

Memory
14.6MiB live, 444.8MiB allocated
Algorithm
egg-herbie
Rules
10 578×lower-fma.f64
10 578×lower-fma.f32
4 234×lower-*.f64
4 234×lower-*.f32
1 730×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151484
13811454
210321449
329151446
466891446
081881333
Stop Event
iter limit
node limit
Counts
204 → 189
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (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))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (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))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
x
x
x
x
x
x
x
x
x
x
x
x
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* 1/3 (pow x 2)))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (* 2 (/ 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)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* 1/6 (pow x 2))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* 1/60 (pow x 2)))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* 1/60 x)
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(* 1/2520 (pow x 3))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 3))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(- (exp x) (/ 1 (exp x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (/ 1 (exp x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (/ 1 (exp x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (/ 1 (exp x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (/ 1 (exp x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (/ 1 (exp x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (/ 1 (exp x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(- (exp x) (/ 1 (exp x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
x
x
x
x
x
x
x
x
x
x
x
x
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* 1/3 (pow x 2)))
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(fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))
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x
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(* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))
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#s(literal 1/3 binary64)
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(+ 1/3 (* 1/60 (pow x 2)))
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(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
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(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
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(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
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(* 1/60 x)
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2
#s(literal 2 binary64)
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(* x (+ 1/60 (* 1/2520 (pow x 2))))
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(* 1/2520 (pow x 3))
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(* 1/2520 (pow x 3))
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1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow x 2)))
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(+ 1/60 (* 1/2520 (pow x 2)))
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(* 1/2520 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
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(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
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(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
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1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
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(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(* 1/2520 (pow x 4))
(*.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
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(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
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(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
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(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
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(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
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eval108.0ms (1.4%)

Memory
-62.5MiB live, 183.9MiB allocated
Compiler

Compiled 22 850 to 2 433 computations (89.4% saved)

prune85.0ms (1.1%)

Memory
24.6MiB live, 185.4MiB allocated
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New75223775
Fresh101
Picked415
Done000
Total75724781
Accuracy
100.0%
Counts
781 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.7%
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
89.0%
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
82.6%
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
60.8%
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal -4 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))) #s(literal 2 binary64))
92.7%
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
92.7%
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
92.7%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
71.2%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
71.2%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
92.7%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
71.2%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) x))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
71.2%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
92.7%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
71.2%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64))) (-.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
92.7%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
92.7%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
88.7%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
92.4%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
92.4%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2 binary64))) #s(literal 2 binary64))
40.5%
(/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))
82.6%
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
34.4%
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
100.0%
(sinh.f64 x)
53.8%
x
Compiler

Compiled 973 to 551 computations (43.4% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize106.0ms (1.4%)

Memory
-5.0MiB live, 190.8MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
accuracy99.9%
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
accuracy99.9%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
accuracy100.0%
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64))
accuracy100.0%
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
accuracy99.9%
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
accuracy99.9%
(*.f64 x (*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x x)))))
accuracy99.9%
(*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x x)))
accuracy99.9%
(*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x x))))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy100.0%
(sinh.f64 x)
Samples
61.0ms256×0valid
Compiler

Compiled 293 to 32 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 20.0ms (43% of total)
const: 9.0ms (19.4% of total)
ival-div: 8.0ms (17.2% of total)
ival-add: 7.0ms (15.1% of total)
ival-sinh: 2.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
Counts
12 → 144
Calls
Call 1
Inputs
#<alt (sinh.f64 x)>
#<alt (*.f64 x (*.f64 x x))>
#<alt (*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x x))))>
#<alt (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x x)))>
#<alt (*.f64 x (*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x x)))))>
#<alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))>
#<alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (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 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 (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 5))>
#<alt (* 1/60 (pow x 5))>
#<alt (* 1/60 (pow x 5))>
#<alt (* 1/60 (pow x 5))>
#<alt (* 1/60 (pow x 5))>
#<alt (* 1/60 (pow x 5))>
#<alt (* 1/60 (pow x 5))>
#<alt (* 1/60 (pow x 5))>
#<alt (* 1/60 (pow x 5))>
#<alt (* 1/60 (pow x 5))>
#<alt (* 1/60 (pow x 5))>
#<alt (* 1/60 (pow x 5))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt 1/60>
#<alt (+ 1/60 (* 1/2520 (pow x 2)))>
#<alt (+ 1/60 (* 1/2520 (pow x 2)))>
#<alt (+ 1/60 (* 1/2520 (pow x 2)))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (* 1/2520 (pow x 7))>
#<alt (* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/2520 (pow x 7))>
#<alt (* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))>
#<alt (* 1/2520 (pow x 6))>
#<alt (* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/2520 (pow x 6))>
#<alt (* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/60 x)>
#<alt (* x (+ 1/60 (* 1/2520 (pow x 2))))>
#<alt (* x (+ 1/60 (* 1/2520 (pow x 2))))>
#<alt (* x (+ 1/60 (* 1/2520 (pow x 2))))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt 3>
#<alt (+ 3 (* -3/20 (pow x 2)))>
#<alt (+ 3 (* (pow x 2) (- (* 11/2800 (pow x 2)) 3/20)))>
#<alt (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 11/2800 (* -1/56000 (pow x 2)))) 3/20)))>
#<alt (/ 2520 (pow x 4))>
#<alt (/ (- 2520 (* 105840 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 2520 (/ 2328480 (pow x 4))) (* 105840 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 2520 (/ 2328480 (pow x 4))) (+ (* 105840 (/ 1 (pow x 2))) (* 8890560 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 2520 (pow x 4))>
#<alt (/ (- 2520 (* 105840 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 2520 (/ 2328480 (pow x 4))) (* 105840 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 2520 (/ 2328480 (pow x 4))) (+ (* 105840 (/ 1 (pow x 2))) (* 8890560 (/ 1 (pow x 6))))) (pow x 4))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
Calls

36 calls:

TimeVariablePointExpression
0.0ms
x
@0
(* x (* x (* 1/60 (* x (* x x)))))
0.0ms
x
@0
(* x (* 1/60 (* x (* x x))))
0.0ms
x
@0
(* x (* x x))
0.0ms
x
@inf
(/ 1 (+ (* x (* x (+ (* (* x x) 1/2520) 1/60))) 1/3))
0.0ms
x
@inf
(* 1/60 (* x (* x x)))

rewrite456.0ms (5.9%)

Memory
14.0MiB live, 566.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 112×lower-fma.f32
9 104×lower-fma.f64
6 090×lower-*.f32
6 076×lower-*.f64
3 358×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019117
036109
1153109
2880103
08317103
Stop Event
iter limit
node limit
iter limit
Counts
12 → 553
Calls
Call 1
Inputs
(sinh.f64 x)
(*.f64 x (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x x))))
(*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x x)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
Outputs
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64)))
(sinh.f64 x)
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)))) (neg.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (neg.f64 x) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)))) (*.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)))))
(pow.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (neg.f64 x) #s(literal -1/3 binary64)))
(*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (neg.f64 x) #s(literal -1/3 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))))))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)))))))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) #s(literal 1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (neg.f64 x) #s(literal 1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))))

simplify401.0ms (5.2%)

Memory
-8.0MiB live, 622.3MiB allocated
Algorithm
egg-herbie
Rules
11 730×lower-fma.f64
11 730×lower-fma.f32
3 448×lower-*.f64
3 448×lower-*.f32
2 674×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01331230
14011224
210441221
328991212
473271212
081691140
Stop Event
iter limit
node limit
Counts
144 → 143
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (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 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)
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 5))
(* 1/60 (pow x 5))
(* 1/60 (pow x 5))
(* 1/60 (pow x 5))
(* 1/60 (pow x 5))
(* 1/60 (pow x 5))
(* 1/60 (pow x 5))
(* 1/60 (pow x 5))
(* 1/60 (pow x 5))
(* 1/60 (pow x 5))
(* 1/60 (pow x 5))
(* 1/60 (pow x 5))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/60 x)
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(* 1/2520 (pow x 3))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 3))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
3
(+ 3 (* -3/20 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 11/2800 (pow x 2)) 3/20)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 11/2800 (* -1/56000 (pow x 2)))) 3/20)))
(/ 2520 (pow x 4))
(/ (- 2520 (* 105840 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (* 105840 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (+ (* 105840 (/ 1 (pow x 2))) (* 8890560 (/ 1 (pow x 6))))) (pow x 4))
(/ 2520 (pow x 4))
(/ (- 2520 (* 105840 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (* 105840 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (+ (* 105840 (/ 1 (pow x 2))) (* 8890560 (/ 1 (pow x 6))))) (pow x 4))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 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 3)
(*.f64 x (*.f64 x x))
(* 1/60 (pow x 4))
(*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/60 (pow x 4))
(*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/60 (pow x 4))
(*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/60 (pow x 4))
(*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/60 (pow x 4))
(*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/60 (pow x 4))
(*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/60 (pow x 4))
(*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/60 (pow x 4))
(*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/60 (pow x 4))
(*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/60 (pow x 4))
(*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/60 (pow x 4))
(*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/60 (pow x 4))
(*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/60 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/60 binary64))
(* 1/60 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/60 binary64))
(* 1/60 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/60 binary64))
(* 1/60 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/60 binary64))
(* 1/60 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/60 binary64))
(* 1/60 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/60 binary64))
(* 1/60 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/60 binary64))
(* 1/60 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/60 binary64))
(* 1/60 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/60 binary64))
(* 1/60 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/60 binary64))
(* 1/60 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/60 binary64))
(* 1/60 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/60 binary64))
(* 1/60 (pow x 5))
(*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* 1/60 (pow x 5))
(*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* 1/60 (pow x 5))
(*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* 1/60 (pow x 5))
(*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* 1/60 (pow x 5))
(*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* 1/60 (pow x 5))
(*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* 1/60 (pow x 5))
(*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* 1/60 (pow x 5))
(*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* 1/60 (pow x 5))
(*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* 1/60 (pow x 5))
(*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* 1/60 (pow x 5))
(*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* 1/60 (pow x 5))
(*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(* 1/2520 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/2520 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/2520 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/2520 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* 1/2520 (pow x 7))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))))
(* 1/2520 (pow x 7))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* 1/2520 (pow x 6))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2520 binary64)))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2 binary64))
(* 1/2520 (pow x 6))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2520 binary64)))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2 binary64))
(* 1/60 x)
(*.f64 x #s(literal 1/60 binary64))
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* 1/2520 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* 1/2520 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
3
#s(literal 3 binary64)
(+ 3 (* -3/20 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -3/20 binary64)) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* 11/2800 (pow x 2)) 3/20)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 11/2800 binary64) #s(literal -3/20 binary64)) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 11/2800 (* -1/56000 (pow x 2)))) 3/20)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/56000 binary64) #s(literal 11/2800 binary64)) #s(literal -3/20 binary64)) #s(literal 3 binary64))
(/ 2520 (pow x 4))
(/.f64 #s(literal 2520 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- 2520 (* 105840 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 2520 binary64) (/.f64 #s(literal -105840 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (* 105840 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 2520 binary64) (/.f64 #s(literal -105840 binary64) (*.f64 x x))) (/.f64 #s(literal 2328480 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (+ (* 105840 (/ 1 (pow x 2))) (* 8890560 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (+.f64 #s(literal 2520 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2328480 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -105840 binary64) (*.f64 x x))) (/.f64 #s(literal -8890560 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 2520 (pow x 4))
(/.f64 #s(literal 2520 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- 2520 (* 105840 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 2520 binary64) (/.f64 #s(literal -105840 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (* 105840 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 2520 binary64) (/.f64 #s(literal -105840 binary64) (*.f64 x x))) (/.f64 #s(literal 2328480 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 2520 (/ 2328480 (pow x 4))) (+ (* 105840 (/ 1 (pow x 2))) (* 8890560 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (+.f64 #s(literal 2520 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2328480 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -105840 binary64) (*.f64 x x))) (/.f64 #s(literal -8890560 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x (*.f64 x x))))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(* 1/2520 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/2520 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))

eval122.0ms (1.6%)

Memory
-9.0MiB live, 312.6MiB allocated
Compiler

Compiled 31 182 to 3 216 computations (89.7% saved)

prune142.0ms (1.8%)

Memory
-5.3MiB live, 275.0MiB allocated
Pruning

32 alts after pruning (28 fresh and 4 done)

PrunedKeptTotal
New74014754
Fresh41418
Picked235
Done011
Total74632778
Accuracy
100.0%
Counts
778 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.7%
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
89.0%
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
92.7%
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
82.6%
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
92.7%
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
60.8%
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal -4 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))) #s(literal 2 binary64))
92.7%
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
92.7%
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
40.5%
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) x) #s(literal 2 binary64))
71.9%
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
92.7%
(/.f64 (*.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
71.2%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
71.2%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal -1/2520 binary64))) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)))))) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
71.2%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
71.2%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
92.7%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
71.2%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
92.7%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
92.4%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2520 binary64) (/.f64 #s(literal -105840 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))) #s(literal 2 binary64))
92.6%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
92.4%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2520 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
92.7%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
92.4%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
92.4%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
40.5%
(/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/60 binary64)))) #s(literal 2 binary64))
44.1%
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2520 binary64)))) #s(literal 2 binary64))
40.5%
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/60 binary64))))) #s(literal 2 binary64))
40.5%
(/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))
82.6%
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
34.4%
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
100.0%
(sinh.f64 x)
53.8%
x
Compiler

Compiled 1 324 to 741 computations (44% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize191.0ms (2.5%)

Memory
-1.5MiB live, 288.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64)) #s(literal 1/3 binary64))
accuracy99.9%
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64)) #s(literal 1/3 binary64)))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.9%
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64))
accuracy99.9%
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
accuracy99.9%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
accuracy99.6%
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
accuracy99.9%
(*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) x)
accuracy99.9%
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
accuracy99.9%
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.8%
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
accuracy100.0%
(*.f64 x (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
accuracy99.9%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
accuracy99.9%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))
Samples
89.0ms256×0valid
Compiler

Compiled 424 to 40 computations (90.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 29.0ms (50.8% of total)
const: 11.0ms (19.3% of total)
ival-div: 9.0ms (15.8% of total)
ival-add: 7.0ms (12.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#<alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (*.f64 (*.f64 x x) #s(literal 1/60 binary64))>
#<alt (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))>
#<alt (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))>
#<alt (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) x)>
#<alt (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))>
#<alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))>
#<alt (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64)) #s(literal 1/3 binary64)))>
#<alt (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64)) #s(literal 1/3 binary64))>
Outputs
#<alt (* 1/60 (pow x 2))>
#<alt (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt 1/60>
#<alt (+ 1/60 (* 1/2520 (pow x 2)))>
#<alt (+ 1/60 (* 1/2520 (pow x 2)))>
#<alt (+ 1/60 (* 1/2520 (pow x 2)))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* 1/2520 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* 1/60 x)>
#<alt (* x (+ 1/60 (* 1/2520 (pow x 2))))>
#<alt (* x (+ 1/60 (* 1/2520 (pow x 2))))>
#<alt (* x (+ 1/60 (* 1/2520 (pow x 2))))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (* 1/2520 (pow x 7))>
#<alt (* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/2520 (pow x 7))>
#<alt (* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (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 3)>
#<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 (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 2))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 3))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 4))>
#<alt (* 1/60 (pow x 5))>
#<alt (* 1/60 (pow x 5))>
#<alt (* 1/60 (pow x 5))>
#<alt (* 1/60 (pow x 5))>
#<alt (* 1/60 (pow x 5))>
#<alt (* 1/60 (pow x 5))>
#<alt (* 1/60 (pow x 5))>
#<alt (* 1/60 (pow x 5))>
#<alt (* 1/60 (pow x 5))>
#<alt (* 1/60 (pow x 5))>
#<alt (* 1/60 (pow x 5))>
#<alt (* 1/60 (pow x 5))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/60 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))>
#<alt (* 1/2520 (pow x 5))>
#<alt (* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* 1/2520 (pow x 5))>
#<alt (* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/60 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))>
#<alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* 1/2520 (pow x 3))>
#<alt (* 1/2520 (pow x 3))>
#<alt 3>
#<alt (+ 3 (* -1/280 (pow x 4)))>
#<alt (+ 3 (* (pow x 4) (- (* 1/235200 (pow x 4)) 1/280)))>
#<alt (+ 3 (* (pow x 4) (- (* (pow x 4) (+ 1/235200 (* -1/197568000 (pow x 4)))) 1/280)))>
#<alt (/ 2520 (pow x 4))>
#<alt (/ (- 2520 (* 2116800 (/ 1 (pow x 4)))) (pow x 4))>
#<alt (/ (- (+ 2520 (/ 1778112000 (pow x 8))) (* 2116800 (/ 1 (pow x 4)))) (pow x 4))>
#<alt (/ (- (+ 2520 (/ 1778112000 (pow x 8))) (+ (* 2116800 (/ 1 (pow x 4))) (* 1493614080000 (/ 1 (pow x 12))))) (pow x 4))>
#<alt (/ 2520 (pow x 4))>
#<alt (/ (- 2520 (* 2116800 (/ 1 (pow x 4)))) (pow x 4))>
#<alt (/ (- (+ 2520 (/ 1778112000 (pow x 8))) (* 2116800 (/ 1 (pow x 4)))) (pow x 4))>
#<alt (/ (- (+ 2520 (/ 1778112000 (pow x 8))) (+ (* 2116800 (/ 1 (pow x 4))) (* 1493614080000 (/ 1 (pow x 12))))) (pow x 4))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/2520 (pow x 4)))>
#<alt (+ 1/3 (* 1/2520 (pow x 4)))>
#<alt (+ 1/3 (* 1/2520 (pow x 4)))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* 1/2520 (pow x 4))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/3 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/2520 (* 1/3 (/ 1 (pow x 4)))))>
Calls

48 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ 1 (+ (* x (* (* x (* x x)) 1/2520)) 1/3))
0.0ms
x
@0
(/ 1 (+ (* x (* (* x (* x x)) 1/2520)) 1/3))
0.0ms
x
@inf
(* 1/6 (* x (* x x)))
0.0ms
x
@-inf
(* 1/6 (* x (* x x)))
0.0ms
x
@-inf
(* (* x (* x x)) 1/2520)

rewrite469.0ms (6.1%)

Memory
-23.4MiB live, 809.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
11 056×lower-fma.f32
11 048×lower-fma.f64
6 876×lower-*.f32
6 852×lower-*.f64
3 516×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025142
046126
1166126
21014120
08594118
Stop Event
iter limit
node limit
iter limit
Counts
16 → 538
Calls
Call 1
Inputs
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) x)
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64)) #s(literal 1/3 binary64)))
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64)) #s(literal 1/3 binary64))
Outputs
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/60 binary64)) (*.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) (*.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2520 binary64)) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(fma.f64 (*.f64 x #s(literal 1/60 binary64)) x (*.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 (*.f64 x #s(literal 1/2520 binary64)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x #s(literal 1/2520 binary64))) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2520 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 x x) #s(literal -1/151200 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6350400 binary64)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64))) #s(literal 1/216000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64))) #s(literal 1/216000 binary64))) (+.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 x x) #s(literal -1/151200 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6350400 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64))) #s(literal 1/216000 binary64))) (+.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal 1/151200 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64))) #s(literal 1/216000 binary64)))) (neg.f64 (+.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 x x) #s(literal -1/151200 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6350400 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/16003008000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6350400 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64)))))) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 3 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6350400 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) (*.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6350400 binary64))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6350400 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (-.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6350400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/3600 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/151200 binary64)))))
(/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))))
(/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64))) #s(literal 1/216000 binary64)) x)) (+.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 x x) #s(literal -1/151200 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6350400 binary64)))))
(/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64)) x)) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64))) #s(literal 1/216000 binary64)))) (neg.f64 (+.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 x x) #s(literal -1/151200 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6350400 binary64))))))
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6350400 binary64)))) (-.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x))
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) x)
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64))) #s(literal 1/216000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 x x) #s(literal -1/151200 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6350400 binary64))))) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64))) #s(literal 1/216000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 x x) #s(literal -1/151200 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6350400 binary64))))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))))
(+.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))
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(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64))))) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6350400 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/7560 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64))))) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6350400 binary64)) #s(literal 1/7560 binary64))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64))))) #s(literal 1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6350400 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/7560 binary64)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6350400 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal -1/3 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6350400 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16003008000 binary64))))) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6350400 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/9 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/7560 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6350400 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/2520 binary64)) #s(literal 1/3 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6350400 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/2520 binary64)))))

simplify330.0ms (4.3%)

Memory
13.9MiB live, 609.8MiB allocated
Algorithm
egg-herbie
Rules
11 144×lower-fma.f64
11 144×lower-fma.f32
4 330×lower-*.f64
4 330×lower-*.f32
2 618×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01261364
13711364
28741359
320721356
451551356
084921282
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))
(* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))
(* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/60 x)
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(* 1/2520 (pow x 3))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 3))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (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 3)
(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)
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 2))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 3))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 4))
(* 1/60 (pow x 5))
(* 1/60 (pow x 5))
(* 1/60 (pow x 5))
(* 1/60 (pow x 5))
(* 1/60 (pow x 5))
(* 1/60 (pow x 5))
(* 1/60 (pow x 5))
(* 1/60 (pow x 5))
(* 1/60 (pow x 5))
(* 1/60 (pow x 5))
(* 1/60 (pow x 5))
(* 1/60 (pow x 5))
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 3))
(* 1/2520 (pow x 3))
(* 1/2520 (pow x 3))
(* 1/2520 (pow x 3))
(* 1/2520 (pow x 3))
(* 1/2520 (pow x 3))
(* 1/2520 (pow x 3))
(* 1/2520 (pow x 3))
(* 1/2520 (pow x 3))
(* 1/2520 (pow x 3))
(* 1/2520 (pow x 3))
(* 1/2520 (pow x 3))
3
(+ 3 (* -1/280 (pow x 4)))
(+ 3 (* (pow x 4) (- (* 1/235200 (pow x 4)) 1/280)))
(+ 3 (* (pow x 4) (- (* (pow x 4) (+ 1/235200 (* -1/197568000 (pow x 4)))) 1/280)))
(/ 2520 (pow x 4))
(/ (- 2520 (* 2116800 (/ 1 (pow x 4)))) (pow x 4))
(/ (- (+ 2520 (/ 1778112000 (pow x 8))) (* 2116800 (/ 1 (pow x 4)))) (pow x 4))
(/ (- (+ 2520 (/ 1778112000 (pow x 8))) (+ (* 2116800 (/ 1 (pow x 4))) (* 1493614080000 (/ 1 (pow x 12))))) (pow x 4))
(/ 2520 (pow x 4))
(/ (- 2520 (* 2116800 (/ 1 (pow x 4)))) (pow x 4))
(/ (- (+ 2520 (/ 1778112000 (pow x 8))) (* 2116800 (/ 1 (pow x 4)))) (pow x 4))
(/ (- (+ 2520 (/ 1778112000 (pow x 8))) (+ (* 2116800 (/ 1 (pow x 4))) (* 1493614080000 (/ 1 (pow x 12))))) (pow x 4))
1/3
(+ 1/3 (* 1/2520 (pow x 4)))
(+ 1/3 (* 1/2520 (pow x 4)))
(+ 1/3 (* 1/2520 (pow x 4)))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2520 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2520 (* 1/3 (/ 1 (pow x 4)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2520 (* 1/3 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2520 (* 1/3 (/ 1 (pow x 4)))))
Outputs
(* 1/60 (pow x 2))
(*.f64 #s(literal 1/60 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))
(* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))
(* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))
(* 1/2520 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))
(* 1/2520 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/2520 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/2520 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/60 x)
(*.f64 #s(literal 1/60 binary64) x)
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* 1/2520 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* 1/2520 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* 1/2520 (pow x 7))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* 1/2520 (pow x 7))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
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(* 1/3 x)
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(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
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(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
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1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
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(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
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(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
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(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
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3
#s(literal 3 binary64)
(+ 3 (* -1/280 (pow x 4)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/280 binary64)) #s(literal 3 binary64))
(+ 3 (* (pow x 4) (- (* 1/235200 (pow x 4)) 1/280)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/235200 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1/280 binary64))) #s(literal 3 binary64))
(+ 3 (* (pow x 4) (- (* (pow x 4) (+ 1/235200 (* -1/197568000 (pow x 4)))) 1/280)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/197568000 binary64)) #s(literal 1/235200 binary64)) #s(literal -1/280 binary64)) #s(literal 3 binary64))
(/ 2520 (pow x 4))
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(/ (- (+ 2520 (/ 1778112000 (pow x 8))) (* 2116800 (/ 1 (pow x 4)))) (pow x 4))
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(/ 2520 (pow x 4))
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1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/2520 (pow x 4)))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))
(+ 1/3 (* 1/2520 (pow x 4)))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))
(+ 1/3 (* 1/2520 (pow x 4)))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))
(* 1/2520 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))
(* (pow x 4) (+ 1/2520 (* 1/3 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/2520 (* 1/3 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))
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(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))
(* 1/2520 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))
(* (pow x 4) (+ 1/2520 (* 1/3 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/2520 (* 1/3 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/2520 (* 1/3 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))

eval166.0ms (2.2%)

Memory
32.3MiB live, 302.3MiB allocated
Compiler

Compiled 33 743 to 3 852 computations (88.6% saved)

prune120.0ms (1.6%)

Memory
-40.1MiB live, 294.1MiB allocated
Pruning

37 alts after pruning (32 fresh and 5 done)

PrunedKeptTotal
New96314977
Fresh51823
Picked325
Done134
Total972371 009
Accuracy
100.0%
Counts
1 009 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.7%
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
89.0%
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
92.7%
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
82.6%
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
92.7%
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
60.8%
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal -4 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))) #s(literal 2 binary64))
92.7%
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
92.7%
(/.f64 (*.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
71.2%
(/.f64 (*.f64 (fma.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
92.7%
(/.f64 (*.f64 (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
92.4%
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
71.2%
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
92.7%
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
92.7%
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/2520 binary64)) x #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
92.4%
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
40.5%
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/60 binary64))) x) #s(literal 2 binary64))
40.5%
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/60 binary64)))) x) #s(literal 2 binary64))
40.5%
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/60 binary64)) x))) x) #s(literal 2 binary64))
40.5%
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x x)))) #s(literal 2 binary64))
71.9%
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
71.2%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
71.2%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
71.2%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
71.2%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
92.4%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2520 binary64) (/.f64 #s(literal -105840 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))) #s(literal 2 binary64))
92.4%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2520 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
92.4%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))))) #s(literal 2 binary64))) #s(literal 2 binary64))
92.7%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
92.4%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
92.4%
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
44.1%
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2520 binary64)))) #s(literal 2 binary64))
40.5%
(/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))
82.6%
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
34.4%
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
34.4%
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
100.0%
(sinh.f64 x)
53.8%
x
Compiler

Compiled 1 887 to 719 computations (61.9% saved)

regimes42.0ms (0.6%)

Memory
12.4MiB live, 89.7MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/60 binary64))))) #s(literal 2 binary64))
(/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/60 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x x)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/60 binary64)) x))) x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/60 binary64)))) x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/60 binary64))) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2520 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/2520 binary64)) x #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2520 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2520 binary64) (/.f64 #s(literal -105840 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64))) (-.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) x))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal -1/2520 binary64))) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)))))) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal -4 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))) #s(literal 2 binary64))
(sinh.f64 x)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Outputs
(sinh.f64 x)
Calls

3 calls:

16.0ms
x
12.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
11.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
100.0%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes39.0ms (0.5%)

Memory
19.9MiB live, 57.9MiB allocated
Counts
54 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/60 binary64))))) #s(literal 2 binary64))
(/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/60 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x x)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/60 binary64)) x))) x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/60 binary64)))) x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/60 binary64))) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2520 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/2520 binary64)) x #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2520 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2520 binary64) (/.f64 #s(literal -105840 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64))) (-.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) x))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal -1/2520 binary64))) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)))))) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal -4 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))) #s(literal 2 binary64))
Outputs
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal -4 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))) #s(literal 2 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
Calls

3 calls:

14.0ms
x
12.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
11.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
94.8%2x
92.7%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
92.7%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes77.0ms (1%)

Memory
-1.6MiB live, 40.2MiB allocated
Counts
53 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/60 binary64))))) #s(literal 2 binary64))
(/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/60 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x x)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/60 binary64)) x))) x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/60 binary64)))) x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/60 binary64))) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2520 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2520 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x #s(literal 1/2520 binary64)) x #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/2520 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2520 binary64) (/.f64 #s(literal -105840 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64))) (-.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) x))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal -1/2520 binary64))) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)))))) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6350400 binary64)) #s(literal -1/3600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #s(literal 2 binary64))
Outputs
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
Calls

3 calls:

53.0ms
x
11.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
11.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
92.7%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
92.7%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
92.7%1x
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes40.0ms (0.5%)

Memory
-14.9MiB live, 23.4MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/60 binary64))))) #s(literal 2 binary64))
(/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/60 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/60 binary64) (*.f64 x (*.f64 x x)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/60 binary64)) x))) x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/60 binary64)))) x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/60 binary64))) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
Outputs
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
Calls

3 calls:

30.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms
x
4.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
89.0%1x
89.0%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
89.0%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64))
Outputs
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
Calls

3 calls:

3.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
82.6%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
82.6%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
82.6%1x
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes19.0ms (0.2%)

Memory
-25.7MiB live, 13.0MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
Outputs
x
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
Calls

3 calls:

15.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
82.3%2x
82.3%2(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
82.3%2(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

3 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
1.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
53.8%1x
53.8%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
53.8%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch2.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
4.1810190224998524e+60
8.486698326047179e+64
Samples
1.0ms16×0valid
Compiler

Compiled 67 to 36 computations (46.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0017431601661358487
85540482294.33197
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify7.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated
Algorithm
egg-herbie
Rules
20×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041114
155114
260114
363114
464114
Stop Event
saturated
Calls
Call 1
Inputs
(sinh.f64 x)
(if (<=.f64 x #s(literal 4999999999999999746935676485370094334818225055067050365419520 binary64)) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal -4 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1152921504606847/576460752303423488 binary64)) x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))
x
Outputs
(sinh.f64 x)
(if (<=.f64 x #s(literal 4999999999999999746935676485370094334818225055067050365419520 binary64)) (/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal -4 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x))
(if (<=.f64 x #s(literal 4999999999999999746935676485370094334818225055067050365419520 binary64)) (/.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal -4 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal -2 binary64))) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1152921504606847/576460752303423488 binary64)) x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))
x

soundness1.5s (19.8%)

Memory
-29.1MiB live, 656.8MiB allocated
Rules
11 924×lower-fma.f64
11 924×lower-fma.f32
11 730×lower-fma.f64
11 730×lower-fma.f32
10 578×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
0911
13311
220411
0192611
01151484
13811454
210321449
329151446
466891446
081881333
01331230
14011224
210441221
328991212
473271212
081691140
055213
1155212
2346212
3881212
41389212
51752212
62439212
73206212
83594212
94304212
106742212
117765212
127811212
137829212
147837212
08318196
024123
049119
1213117
21417115
08143115
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 246 to 123 computations (50% saved)

preprocess98.0ms (1.3%)

Memory
36.9MiB live, 77.5MiB allocated
Remove

(negabs x)

Compiler

Compiled 254 to 100 computations (60.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...