Hyperbolic sine

Time bar (total: 7.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample1.6s (21.6%)

Memory
10.4MiB live, 2 070.7MiB allocated
Samples
582.0ms1 497×2valid
457.0ms2 535×1valid
219.0ms4 224×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-exp: 737.0ms (70.6% of total)
ival-div: 97.0ms (9.3% of total)
adjust: 88.0ms (8.4% of total)
ival-sub: 72.0ms (6.9% of total)
ival-neg: 34.0ms (3.3% of total)
ival-true: 7.0ms (0.7% of total)
exact: 5.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain154.0ms (2.1%)

Memory
5.1MiB live, 289.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1200-0-(-.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)))cancellation1200
Confusion
Predicted +Predicted -
+1200
-0136
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12000
-00136
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0136
1120
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
43.0ms156×1valid
27.0ms70×2valid
24.0ms286×0valid
Compiler

Compiled 81 to 32 computations (60.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-exp: 52.0ms (75.4% of total)
ival-div: 5.0ms (7.3% of total)
adjust: 4.0ms (5.8% of total)
ival-sub: 4.0ms (5.8% of total)
ival-neg: 2.0ms (2.9% of total)
ival-true: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess35.0ms (0.5%)

Memory
26.2MiB live, 63.7MiB allocated
Algorithm
egg-herbie
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))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
Symmetry

(negabs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune2.0ms (0%)

Memory
-37.7MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.2%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify15.0ms (0.2%)

Memory
27.3MiB live, 27.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(exp.f64 (neg.f64 x))
cost-diff0
(exp.f64 x)
cost-diff0
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01223
12323
24023
36723
410923
516823
622723
734923
841023
941923
041923
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)

localize46.0ms (0.6%)

Memory
-7.2MiB live, 75.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 x)
accuracy0
(exp.f64 (neg.f64 x))
accuracy0
(exp.f64 x)
accuracy27.422102581648907
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Samples
15.0ms78×1valid
13.0ms35×2valid
9.0ms143×0valid
Compiler

Compiled 48 to 16 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-exp: 18.0ms (63.6% of total)
ival-div: 5.0ms (17.7% of total)
ival-sub: 3.0ms (10.6% of total)
adjust: 2.0ms (7.1% of total)
ival-neg: 1.0ms (3.5% 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
4.2MiB live, 4.2MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
Outputs
#s(alt (* 2 x) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* 1/2 x) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
Calls

3 calls:

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

simplify220.0ms (3.1%)

Memory
-21.5MiB live, 176.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055213
1155212
2347212
3882212
41406212
51768212
62452212
73225212
83606212
94303212
106598212
117621212
127667212
137685212
147693212
08178196
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))))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(exp x)
(exp x)
(exp x)
(exp x)
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(exp x)
(exp x)
(exp x)
(exp x)
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(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 (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(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)))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

rewrite74.0ms (1%)

Memory
31.8MiB live, 108.4MiB allocated
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
#<batchref>
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#<batchref>
#<batchref>
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#<batchref>
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eval34.0ms (0.5%)

Memory
-36.4MiB live, 67.1MiB allocated
Compiler

Compiled 3 253 to 573 computations (82.4% saved)

prune7.0ms (0.1%)

Memory
-12.3MiB live, 26.8MiB 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
55.0%
(/.f64 (-.f64 (exp.f64 x) #s(approx (exp (neg x)) #s(literal 1 binary64))) #s(literal 2 binary64))
100.0%
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
92.5%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
89.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
82.9%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
49.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
Compiler

Compiled 134 to 94 computations (29.9% saved)

simplify119.0ms (1.6%)

Memory
-0.9MiB live, 117.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
cost-diff0
(sinh.f64 x)
cost-diff0
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
cost-diff1024
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031283
055279
195279
2174263
3376263
4853263
51577263
64320263
77529263
08056263
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(sinh.f64 x)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
Outputs
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(sinh.f64 x)
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(sinh.f64 x)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)

localize226.0ms (3.1%)

Memory
7.9MiB live, 245.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
accuracy0.0546875
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
accuracy0.0859375
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
accuracy4.805163033544237
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy0.05078125
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
accuracy0.05859375
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
accuracy0.078125
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
accuracy6.957380486751346
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy0
(*.f64 x x)
accuracy0.046875
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
accuracy0.12109375
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy10.937914244413795
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x))
accuracy0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
accuracy0
(*.f64 x #s(literal 2 binary64))
accuracy32.16839511354531
#s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64)))
accuracy0
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy0
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
accuracy0.00390625
(sinh.f64 x)
Samples
111.0ms78×1valid
36.0ms143×0valid
28.0ms35×2valid
Compiler

Compiled 444 to 59 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 132.0ms
ival-mult: 49.0ms (37.1% of total)
const: 38.0ms (28.8% of total)
ival-exp: 18.0ms (13.6% of total)
ival-add: 9.0ms (6.8% of total)
adjust: 8.0ms (6.1% of total)
ival-div: 4.0ms (3% of total)
ival-sub: 2.0ms (1.5% of total)
ival-sinh: 2.0ms (1.5% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series54.0ms (0.7%)

Memory
2.8MiB live, 43.0MiB allocated
Counts
22 → 264
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (patch (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (patch (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 x) (#s(alt (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (patch (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (patch (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (patch (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (patch (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (patch (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (patch (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (patch (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (patch (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 1/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 1/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 1/3 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (* 1/2520 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((/ (* (sinh x) 2) 2) (* (sinh x) 2) (sinh x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* x 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* x x) 1/3) 2) x) (+ (* (* x x) 1/3) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* x x) (+ (* 1/60 (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))
4.0ms
x
@inf
((/ (* (sinh x) 2) 2) (* (sinh x) 2) (sinh x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* x 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* x x) 1/3) 2) x) (+ (* (* x x) 1/3) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* x x) (+ (* 1/60 (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))
2.0ms
x
@0
((/ (* (sinh x) 2) 2) (* (sinh x) 2) (sinh x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* x 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* x x) 1/3) 2) x) (+ (* (* x x) 1/3) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* x x) (+ (* 1/60 (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))

simplify256.0ms (3.5%)

Memory
3.2MiB live, 206.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01202218
13892182
210392179
329972170
474082170
082712005
Stop Event
iter limit
node limit
Counts
264 → 258
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))))))))
(* 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))))))))
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))))))))
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))))))))
(* 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))))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 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))))))))
(* 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))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* 1/3 (pow x 2))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* 1/3 (pow x 2)))
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))))))))
(* 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))))))))
(* 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))))))
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)))))
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))))))))
(* 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))))))))
(* 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))))))))
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)))))))
(pow x 2)
(pow x 2)
(pow x 2)
(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
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (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)))))
(* 1/2 (- (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))))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (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) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 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 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)))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 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 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)))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 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 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)))))))
(pow x 2)
(pow x 2)
(pow x 2)
(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)))))
(* 1/2520 (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 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))))))
(* 1/2 (- (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))))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (exp x) (/ 1 (exp x)))
(- (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) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 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 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)))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 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 (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)))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 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)))))))
(* 1/2520 (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)))))))
(pow x 2)
(pow x 2)
(pow x 2)
(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)))))
(* 1/2520 (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 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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
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(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/60 (pow x 2))
(*.f64 #s(literal 1/60 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* 1/2520 (pow x 2))
(*.f64 #s(literal 1/2520 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(* 1/2520 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.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)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.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)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.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)))
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.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)))
(* 1/60 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/60 binary64))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* 1/60 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x)
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.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)))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal -1/2520 binary64)) (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 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/60 binary64)) x) x) #s(literal -1/2520 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/60 (pow x 2))
(*.f64 #s(literal 1/60 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* 1/2520 (pow x 2))
(*.f64 #s(literal 1/2520 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(* 1/2520 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))

rewrite167.0ms (2.3%)

Memory
15.5MiB live, 172.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031261
055241
1214241
21350241
08150241
Stop Event
iter limit
node limit
iter limit
Counts
22 → 621
Calls
Call 1
Inputs
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(sinh.f64 x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
Outputs
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eval254.0ms (3.5%)

Memory
-14.6MiB live, 217.6MiB allocated
Compiler

Compiled 23 735 to 3 162 computations (86.7% saved)

prune73.0ms (1%)

Memory
22.0MiB live, 106.1MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New95316969
Fresh101
Picked505
Done000
Total95916975
Accuracy
100.0%
Counts
975 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.9%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
92.5%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
92.5%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
92.5%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
89.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
89.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (+.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
92.5%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
82.9%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
91.8%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
44.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x)) x)) #s(literal 2 binary64))
92.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))))
92.5%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
89.1%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
82.9%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
49.7%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
100.0%
(sinh.f64 x)
Compiler

Compiled 526 to 348 computations (33.8% saved)

simplify42.0ms (0.6%)

Memory
-6.8MiB live, 32.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff0
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x)))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
cost-diff320
(fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
cost-diff0
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
cost-diff0
(sinh.f64 x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028344
046339
181339
2137339
3263339
4605339
51133339
61398339
71775339
81863339
91881339
01881336
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(sinh.f64 x)
x
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(literal 1/3 binary64)
(*.f64 x x)
x
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(literal 2 binary64)
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
Outputs
(sinh.f64 x)
x
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(literal 1/2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 x x)
x
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
#s(literal 2 binary64)
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)

localize216.0ms (3%)

Memory
5.2MiB live, 292.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
accuracy0.01171875
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
accuracy0.109375
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))))
accuracy1.0514038224481155
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy0
(*.f64 x x)
accuracy0.01171875
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
accuracy0.01171875
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
accuracy1.0514038224481155
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy0
(*.f64 #s(literal 2 binary64) x)
accuracy0.00390625
(fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x))
accuracy0.1171875
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
accuracy1.2026311866372814
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x)))
accuracy0
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
accuracy0
(*.f64 #s(literal 2 binary64) x)
accuracy1.4786555629955709
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
accuracy0.00390625
(sinh.f64 x)
Samples
121.0ms78×1valid
40.0ms130×0exit
29.0ms35×2valid
3.0ms13×0valid
Compiler

Compiled 530 to 54 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-mult: 52.0ms (44.5% of total)
ival-exp: 18.0ms (15.4% of total)
const: 13.0ms (11.1% of total)
ival-add: 9.0ms (7.7% of total)
ival-neg: 8.0ms (6.8% of total)
adjust: 6.0ms (5.1% of total)
ival-div: 6.0ms (5.1% of total)
ival-sub: 2.0ms (1.7% of total)
ival-sinh: 2.0ms (1.7% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory
-8.9MiB live, 29.8MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x))) (patch #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) (patch (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))) #<representation binary64>) () ())) ())
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#s(alt (/ 2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) (patch (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) (patch (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) (patch (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) (patch (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
11.0ms
x
@0
((sinh x) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* 2 x) (+ (* (* 1/3 (* x x)) x) (* 2 x)) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 1/3 (* x x)) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (/ 1 (/ 2 (- (exp x) (exp (neg x))))) (/ 2 (- (exp x) (exp (neg x)))) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x))
3.0ms
x
@inf
((sinh x) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* 2 x) (+ (* (* 1/3 (* x x)) x) (* 2 x)) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 1/3 (* x x)) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (/ 1 (/ 2 (- (exp x) (exp (neg x))))) (/ 2 (- (exp x) (exp (neg x)))) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x))
3.0ms
x
@-inf
((sinh x) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* 2 x) (+ (* (* 1/3 (* x x)) x) (* 2 x)) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 1/3 (* x x)) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (/ 1 (/ 2 (- (exp x) (exp (neg x))))) (/ 2 (- (exp x) (exp (neg x)))) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x))

simplify170.0ms (2.4%)

Memory
9.1MiB live, 247.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01221608
13511578
29271576
326981568
451371568
579371568
080061470
Stop Event
iter limit
node limit
Counts
192 → 187
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))))))))
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))))))))
(* 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))))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* 1/3 (pow x 2))))
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))))))))
(* 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))))))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
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))))))))
(* 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))))))))
(* 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))))))))
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)))))))
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 x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) x)
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)))))
(pow x 2)
(pow x 2)
(pow x 2)
(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) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 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)))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 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 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)))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(/ 2 (- (exp x) (exp (neg x))))
(/ 2 (- (exp x) (exp (neg x))))
(/ 2 (- (exp x) (exp (neg x))))
(/ 2 (- (exp x) (exp (neg x))))
(* 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))))))
(pow x 2)
(pow x 2)
(pow x 2)
(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) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 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)))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 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)))))))
(* 1/2520 (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)))))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(/ 2 (- (exp x) (exp (* -1 x))))
(/ 2 (- (exp x) (exp (* -1 x))))
(/ 2 (- (exp x) (exp (* -1 x))))
(/ 2 (- (exp x) (exp (* -1 x))))
(* 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))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 x x) #s(literal 7/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
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)))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #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)))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (neg x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (neg x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (neg x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (neg x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.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 (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* 1/2 (- (exp x) (exp (neg x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (neg x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (neg x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (neg x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.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 (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/2 (- (exp x) (exp (neg x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (neg x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (neg x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (neg x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(- (exp x) (exp (neg x)))
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(- (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)))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal -1/2520 binary64)) (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 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #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))) (* 2 (/ 1 (pow x 6)))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/60 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* 1/2520 (pow x 6))
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(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
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(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/60 binary64)) #s(literal 2 binary64)))
(* 1/2 (- (exp x) (exp (neg x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (neg x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (neg x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (neg x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(/ 2 (- (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (- (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (- (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (- (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2520 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.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)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.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)))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.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)))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal -1/2520 binary64)) (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 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #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 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/60 binary64)) #s(literal 2 binary64)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(/ 2 (- (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (- (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (- (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (- (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2520 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite161.0ms (2.2%)

Memory
-8.3MiB live, 307.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028234
046213
1170213
21064213
08729210
Stop Event
iter limit
node limit
iter limit
Counts
16 → 390
Calls
Call 1
Inputs
(sinh.f64 x)
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))))
(/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x x)
Outputs
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eval147.0ms (2%)

Memory
-4.0MiB live, 264.0MiB allocated
Compiler

Compiled 25 872 to 2 323 computations (91% saved)

prune36.0ms (0.5%)

Memory
15.6MiB live, 100.8MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New9208928
Fresh4711
Picked325
Done000
Total92717944
Accuracy
100.0%
Counts
944 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.9%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x))) #s(literal 2 binary64))
92.5%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
92.5%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
89.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
89.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (+.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
82.9%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
44.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x)) x)) #s(literal 2 binary64))
91.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x))))
92.5%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
49.7%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
92.5%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
92.5%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
89.1%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
92.5%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
82.9%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
91.8%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
100.0%
(sinh.f64 x)
Compiler

Compiled 553 to 367 computations (33.6% saved)

simplify447.0ms (6.2%)

Memory
-13.3MiB live, 348.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff0
(fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x)))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x))) #s(literal 2 binary64))
cost-diff320
(fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x))
cost-diff-128
(+.f64 x x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
cost-diff0
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
cost-diff0
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038408
070408
1125405
2209405
3394405
4757405
51099405
61780405
72531405
83568405
94780405
105797405
116102405
126174405
136269405
146408405
156617405
166618405
176618405
08220402
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
(+.f64 x x)
x
#s(literal 1/2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(literal 1/3 binary64)
(*.f64 x x)
x
(+.f64 x x)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/60 binary64) x)
#s(literal 1/60 binary64)
x
#s(literal 1/3 binary64)
(*.f64 x x)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64))
(*.f64 #s(literal 1/2520 binary64) x)
#s(literal 1/2520 binary64)
x
#s(literal 1/60 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
Outputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (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)) x) x #s(literal 2 binary64)) x)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (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)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(*.f64 (fma.f64 (*.f64 (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)) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(fma.f64 (*.f64 (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)) x) x #s(literal 2 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 (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)) x)
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(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 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 1/2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(literal 1/3 binary64)
(*.f64 x x)
x
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/60 binary64) x)
#s(literal 1/60 binary64)
x
#s(literal 1/3 binary64)
(*.f64 x x)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (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)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (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)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(*.f64 (fma.f64 (*.f64 (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)) x) x #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 (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)) x) x #s(literal 2 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(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 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(*.f64 #s(literal 1/2520 binary64) x)
(*.f64 x #s(literal 1/2520 binary64))
#s(literal 1/2520 binary64)
x
#s(literal 1/60 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(literal 2 binary64)

localize223.0ms (3.1%)

Memory
-10.9MiB live, 552.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
accuracy0.0546875
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
accuracy0.078125
(fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64))
accuracy4.805163033544237
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy0.05859375
(fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
accuracy0.08984375
(*.f64 #s(literal 1/60 binary64) x)
accuracy0.1015625
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
accuracy6.957380486751346
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy0
(*.f64 x x)
accuracy0.0390625
(fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x))
accuracy0.23046875
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
accuracy10.937914244413795
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x)))
accuracy0
(+.f64 x x)
accuracy0
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
accuracy32.16839511354531
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
accuracy0.0546875
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
accuracy0.0859375
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
accuracy0.203125
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
accuracy4.805163033544237
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
Samples
76.0ms35×2valid
58.0ms78×1valid
55.0ms143×0valid
Compiler

Compiled 650 to 75 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-mult: 43.0ms (36.7% of total)
ival-exp: 20.0ms (17.1% of total)
const: 20.0ms (17.1% of total)
ival-add: 16.0ms (13.7% of total)
adjust: 10.0ms (8.5% of total)
ival-div: 3.0ms (2.6% of total)
ival-sub: 3.0ms (2.6% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory
26.1MiB live, 65.6MiB allocated
Counts
27 → 324
Calls
Call 1
Inputs
#s(alt (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) (patch (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) (patch #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #<representation binary64>) () ())
#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x)) (patch (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x))) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x))) (patch #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/60 binary64) x) (patch (*.f64 #s(literal 1/60 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 x) (#s(alt (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow x 5)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 1/60 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/60 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/60 binary64) x) (patch (*.f64 #s(literal 1/60 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/60 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/60 binary64) x) (patch (*.f64 #s(literal 1/60 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/60 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/60 binary64) x) (patch (*.f64 #s(literal 1/60 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/60 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/60 binary64) x) (patch (*.f64 #s(literal 1/60 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) 2) x) (+ (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) 2) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (+ x x) (+ (* (* 1/3 (* x x)) x) (+ x x)) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 1/3 (* x x)) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) x) (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* (* 1/2520 x) x) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* (* 1/2520 x) x) 1/60) (* x x)) 1/3) (* x x)) 2) (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x) (+ (* (* 1/60 x) x) 1/3) (* 1/60 x) (+ (* (* 1/2520 x) x) 1/60) (+ (* (+ (* (* 1/2520 x) x) 1/60) (* x x)) 1/3))
3.0ms
x
@inf
((* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) 2) x) (+ (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) 2) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (+ x x) (+ (* (* 1/3 (* x x)) x) (+ x x)) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 1/3 (* x x)) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) x) (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* (* 1/2520 x) x) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* (* 1/2520 x) x) 1/60) (* x x)) 1/3) (* x x)) 2) (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x) (+ (* (* 1/60 x) x) 1/3) (* 1/60 x) (+ (* (* 1/2520 x) x) 1/60) (+ (* (+ (* (* 1/2520 x) x) 1/60) (* x x)) 1/3))
2.0ms
x
@0
((* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) 2) x) (+ (* (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) x) 2) (* (- (exp x) (exp (neg x))) 1/2) (- (exp x) (exp (neg x))) (+ x x) (+ (* (* 1/3 (* x x)) x) (+ x x)) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 1/3 (* x x)) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) x) (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* (* 1/2520 x) x) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* (* 1/2520 x) x) 1/60) (* x x)) 1/3) (* x x)) 2) (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) x) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x) (+ (* (* 1/60 x) x) 1/3) (* 1/60 x) (+ (* (* 1/2520 x) x) 1/60) (+ (* (+ (* (* 1/2520 x) x) 1/60) (* x x)) 1/3))

simplify342.0ms (4.8%)

Memory
-31.1MiB live, 288.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01252776
14192746
211092740
330942722
469382722
082662515
Stop Event
iter limit
node limit
Counts
324 → 319
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))))))))
(* 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))))))))
(* 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))))))))
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)))))))
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))))))))
(* 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))))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* 1/3 (pow x 2))))
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))))))))
(* 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))))))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
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))))))))
(* 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))))))))
(* 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))))))
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)))))
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))))))))
(* 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))))))))
(* 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))))))))
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)))))))
(* 1/3 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))))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (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)))))
(pow x 2)
(pow x 2)
(pow x 2)
(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 x)
(* 1/60 x)
(* 1/60 x)
(* 1/60 x)
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/60 (* 1/2520 (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)))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 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 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)))))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 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)))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 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 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)))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(* 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 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 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 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 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))))))
(pow x 2)
(pow x 2)
(pow x 2)
(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)
(* 1/2520 (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 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))))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 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)))))))
(* 1/2520 (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)))))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 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)))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 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 (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)))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(* 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)))))))
(* 1/2520 (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 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)))
(* 1/2520 (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 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))))))
(pow x 2)
(pow x 2)
(pow x 2)
(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)
(* 1/2520 (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 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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
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(- (exp x) (exp (* -1 x)))
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(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
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rewrite135.0ms (1.9%)

Memory
28.9MiB live, 150.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038373
070353
1279350
01549347
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
27 → 380
Calls
Call 1
Inputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
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(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x)))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x x)
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/60 binary64) x)
(fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
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eval214.0ms (3%)

Memory
11.6MiB live, 245.8MiB allocated
Compiler

Compiled 16 907 to 1 996 computations (88.2% saved)

prune131.0ms (1.8%)

Memory
-0.3MiB live, 160.8MiB allocated
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New81210822
Fresh3710
Picked415
Done022
Total81920839
Accuracy
100.0%
Counts
839 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.9%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x x)) #s(literal 2 binary64))
92.5%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
89.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/60 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
89.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
91.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x))))
92.5%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
49.7%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
92.5%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
92.5%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
89.1%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
89.1%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
92.5%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal 1/2520 binary64)) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
92.3%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
89.1%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
91.8%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
82.9%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
82.9%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
91.8%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
29.9%
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
100.0%
(sinh.f64 x)
Compiler

Compiled 976 to 408 computations (58.2% saved)

regimes34.0ms (0.5%)

Memory
1.0MiB live, 119.2MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x))) #s(literal 2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (+.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/60 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal 1/2520 binary64)) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x))))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(sinh.f64 x)
(/.f64 (-.f64 (exp.f64 x) #s(approx (exp (neg 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:

12.0ms
x
9.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
9.0ms
(-.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 15 to 13 computations (13.3% saved)

regimes33.0ms (0.5%)

Memory
-32.8MiB live, 91.4MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x))) #s(literal 2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (+.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/60 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal 1/2520 binary64)) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x))))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Outputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
Calls

3 calls:

13.0ms
x
9.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
8.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
92.5%1x
92.5%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
92.5%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes26.0ms (0.4%)

Memory
18.3MiB live, 57.7MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x))) #s(literal 2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (+.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/60 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
Outputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
Calls

3 calls:

12.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
7.0ms
x
6.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
92.3%1x
92.3%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
92.3%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes21.0ms (0.3%)

Memory
-9.6MiB live, 68.9MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x))) #s(literal 2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (+.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/60 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
Outputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
Calls

3 calls:

8.0ms
x
6.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
91.8%1x
91.8%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
91.8%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes20.0ms (0.3%)

Memory
-9.5MiB live, 72.1MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x))) #s(literal 2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (+.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/60 binary64) x) x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Outputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
Calls

3 calls:

7.0ms
x
6.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
5.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
89.1%1x
89.1%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
89.1%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes12.0ms (0.2%)

Memory
-3.7MiB live, 35.6MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x (+.f64 x x))) #s(literal 2 binary64))
Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x x)) #s(literal 2 binary64))
Calls

3 calls:

5.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
3.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
82.9%1x
82.9%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
82.9%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes10.0ms (0.1%)

Memory
-1.6MiB live, 38.0MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Outputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
Calls

3 calls:

3.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
3.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
82.9%1x
82.9%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
82.9%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes6.0ms (0.1%)

Memory
25.0MiB live, 25.0MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
Outputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/2 binary64))
Calls

3 calls:

2.0ms
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
73.4%2x
73.4%2(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
73.4%2(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes5.0ms (0.1%)

Memory
-23.4MiB live, 18.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
Outputs
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
Calls

3 calls:

2.0ms
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
49.7%1x
49.7%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
49.7%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.8910051836908788
63.23210785871122
Compiler

Compiled 11 to 11 computations (0% saved)

simplify27.0ms (0.4%)

Memory
24.8MiB live, 104.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070215
198215
2103215
3106215
4107215
Stop Event
saturated
Calls
Call 1
Inputs
(sinh.f64 x)
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x x)) #s(literal 2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 5 binary64)) (*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))
Outputs
(sinh.f64 x)
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 1 binary64)) x x)) #s(literal 2 binary64))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 5 binary64)) (*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 1/2 binary64))

soundness1.3s (18.6%)

Memory
-18.7MiB live, 1 222.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031261
055241
1214241
21350241
08150241
028234
046213
1170213
21064213
08729210
01252776
14192746
211092740
330942722
469382722
082662515
038373
070353
1279350
01549347
055213
1155212
2347212
3882212
41406212
51768212
62452212
73225212
83606212
94303212
106598212
117621212
127667212
137685212
147693212
08178196
0513
0911
13311
220411
0192611
01221608
13511578
29271576
326981568
451371568
579371568
080061470
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 608 to 327 computations (46.2% saved)

preprocess65.0ms (0.9%)

Memory
-1.5MiB live, 194.9MiB allocated
Remove

(negabs x)

Compiler

Compiled 296 to 148 computations (50% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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