exp2 (problem 3.3.7)

Time bar (total: 12.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

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

Compiled 13 to 11 computations (15.4% saved)

sample3.6s (28.2%)

Memory
42.2MiB live, 3 962.3MiB allocated
Samples
2.6s5 666×2valid
644.0ms2 385×1valid
13.0ms205×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.0s
ival-exp: 2.2s (74.1% of total)
adjust: 341.0ms (11.3% of total)
ival-sub: 180.0ms (6% of total)
ival-add: 134.0ms (4.4% of total)
ival-fabs: 54.0ms (1.8% of total)
ival-neg: 35.0ms (1.2% of total)
ival-<=: 25.0ms (0.8% of total)
exact: 9.0ms (0.3% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

preprocess159.0ms (1.2%)

Memory
6.4MiB live, 117.8MiB allocated
Algorithm
egg-herbie
Rules
244×lower-fma.f64
244×lower-fma.f32
104×lower-+.f32
102×lower-+.f64
102×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

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

(abs x)

explain278.0ms (2.2%)

Memory
27.2MiB live, 387.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1401(1.8041935602226173e-162)0-(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
00-0-(-.f64 (exp.f64 x) #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(exp.f64 x)
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))cancellation1410
Confusion
Predicted +Predicted -
+1400
-1115
Precision
0.9929078014184397
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+14000
-11114
Precision?
0.9859154929577465
Recall?
1.0
Freqs
test
numberfreq
0115
1141
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
162.0ms334×2valid
26.0ms160×1valid
5.0ms18×0valid
Compiler

Compiled 64 to 32 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 145.0ms
ival-exp: 109.0ms (75.3% of total)
adjust: 15.0ms (10.4% of total)
ival-add: 10.0ms (6.9% of total)
ival-sub: 7.0ms (4.8% of total)
ival-neg: 2.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.1%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify22.0ms (0.2%)

Memory
-2.0MiB live, 36.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize115.0ms (0.9%)

Memory
-8.8MiB live, 111.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 (neg.f64 x))
accuracy100.0%
(exp.f64 x)
accuracy100.0%
(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy51.2%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Samples
91.0ms167×2valid
11.0ms80×1valid
1.0ms0valid
Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-exp: 48.0ms (63.6% of total)
adjust: 20.0ms (26.5% of total)
ival-sub: 4.0ms (5.3% of total)
ival-add: 3.0ms (4% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))>
#<alt (-.f64 (exp.f64 x) #s(literal 2 binary64))>
#<alt (exp.f64 x)>
#<alt (exp.f64 (neg.f64 x))>
Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* 1/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
Calls

12 calls:

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

simplify434.0ms (3.4%)

Memory
-19.7MiB live, 692.7MiB allocated
Algorithm
egg-herbie
Rules
17 068×lower-fma.f64
17 068×lower-fma.f32
3 466×lower-+.f64
3 466×lower-+.f32
3 160×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060269
1168268
2397262
31053262
41755262
53019262
63833262
75252262
86659262
08202241
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))

rewrite286.0ms (2.2%)

Memory
1.7MiB live, 409.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 586×lower-*.f64
3 586×lower-*.f32
3 204×lower-/.f64
3 204×lower-/.f32
2 998×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
01217
15117
239417
3686615
0804714
Stop Event
iter limit
node limit
iter limit
Counts
4 → 245
Calls
Call 1
Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
(exp.f64 (neg.f64 x))
Outputs
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(+.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) (exp.f64 x))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x))))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (exp.f64 (+.f64 x x)))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (exp.f64 (+.f64 x x)))))
(-.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (-.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(fma.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(fma.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
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(/.f64 (neg.f64 (+.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) #s(literal 4 binary64))) (neg.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal -512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64) #s(literal 64 binary64))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64) #s(literal 16 binary64))))
(/.f64 (*.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(*.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)))
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (exp.f64 (+.f64 x x))) (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x)))))
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal -2 binary64) #s(literal 4 binary64))))
(exp.f64 x)
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))

eval35.0ms (0.3%)

Memory
8.1MiB live, 84.1MiB allocated
Compiler

Compiled 6 883 to 793 computations (88.5% saved)

prune40.0ms (0.3%)

Memory
9.9MiB live, 91.3MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2849293
Fresh000
Picked101
Done000
Total2859294
Accuracy
100.0%
Counts
294 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.3%
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (exp.f64 (neg.f64 x)))
51.1%
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
51.4%
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
51.1%
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
51.2%
(+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x)))
98.9%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))
98.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)))
98.5%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
97.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 276 to 154 computations (44.2% saved)

simplify263.0ms (2%)

Memory
-11.0MiB live, 366.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
cost-diff192
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x))
cost-diff6400
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
cost-diff8896
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
cost-diff0
(exp.f64 (+.f64 x x))
cost-diff0
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))
cost-diff0
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
cost-diff0
(+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)
cost-diff0
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
cost-diff0
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
cost-diff0
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)
cost-diff0
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))
Rules
7 396×lower-fma.f32
7 384×lower-fma.f64
3 444×lower-*.f32
3 430×lower-*.f64
1 218×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041299
072275
1149273
2315273
3694273
41314273
52264273
63763273
76344273
08065270
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))
x
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(*.f64 x x)
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(*.f64 x (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
x
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)
(*.f64 x x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))
#s(literal 4 binary64)
(exp.f64 (+.f64 x x))
(+.f64 x x)
x
(-.f64 #s(literal -2 binary64) (exp.f64 x))
#s(literal -2 binary64)
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(exp.f64 x)
x
#s(literal -2 binary64)
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)))
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x))
x
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(*.f64 x x)
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(*.f64 x (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x)))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x))
x
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x)
(*.f64 x x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))
#s(literal 4 binary64)
(exp.f64 (+.f64 x x))
(+.f64 x x)
x
(-.f64 #s(literal -2 binary64) (exp.f64 x))
#s(literal -2 binary64)
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(+.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (exp.f64 x))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (exp.f64 x)))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (exp.f64 x))
(exp.f64 x)
x
#s(literal -2 binary64)
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))

localize433.0ms (3.3%)

Memory
12.0MiB live, 638.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
accuracy100.0%
(+.f64 (exp.f64 x) #s(literal -2 binary64))
accuracy99.9%
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
accuracy51.1%
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x))
accuracy100.0%
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))
accuracy100.0%
(-.f64 #s(literal -2 binary64) (exp.f64 x))
accuracy100.0%
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
accuracy51.2%
(+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x)))
accuracy100.0%
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)
accuracy100.0%
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
accuracy99.5%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
accuracy98.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)))
accuracy100.0%
(*.f64 x x)
accuracy97.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
accuracy100.0%
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.7%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
accuracy98.9%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))
Samples
221.0ms167×2valid
127.0ms80×1valid
3.0ms0valid
Compiler

Compiled 278 to 43 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 302.0ms
adjust: 92.0ms (30.5% of total)
ival-exp: 92.0ms (30.5% of total)
ival-mult: 37.0ms (12.3% of total)
ival-sub: 24.0ms (8% of total)
ival-add: 23.0ms (7.6% of total)
ival-div: 17.0ms (5.6% of total)
const: 15.0ms (5% of total)
exact: 1.0ms (0.3% of total)
ival-neg: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series51.0ms (0.4%)

Memory
-14.5MiB live, 105.5MiB allocated
Counts
22 → 264
Calls
Call 1
Inputs
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))>
#<alt (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))>
#<alt (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)>
#<alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))>
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))>
#<alt (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)>
#<alt (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x)))>
#<alt (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))>
#<alt (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))>
#<alt (exp.f64 (+.f64 x x))>
#<alt (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))>
#<alt (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))>
#<alt (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))>
#<alt (-.f64 #s(literal -2 binary64) (exp.f64 x))>
#<alt (+.f64 (exp.f64 x) #s(literal -2 binary64))>
Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (+ (exp (neg x)) (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x)))))>
#<alt (+ (exp (neg x)) (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x)))))>
#<alt (+ (exp (neg x)) (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x)))))>
#<alt (+ (exp (neg x)) (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x)))))>
#<alt (+ (exp (* -1 x)) (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x)))))>
#<alt (+ (exp (* -1 x)) (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x)))))>
#<alt (+ (exp (* -1 x)) (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x)))))>
#<alt (+ (exp (* -1 x)) (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x)))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* 1/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)>
#<alt (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x))))>
#<alt (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x))))>
#<alt (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x))))>
#<alt (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x))))>
#<alt (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x))))>
#<alt (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x))))>
#<alt (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x))))>
#<alt (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x))))>
#<alt 3>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* x (- (* -2 x) 2)))>
#<alt (+ 3 (* x (- (* x (- (* -4/3 x) 2)) 2)))>
#<alt (- 4 (exp (* 2 x)))>
#<alt (- 4 (exp (* 2 x)))>
#<alt (- 4 (exp (* 2 x)))>
#<alt (- 4 (exp (* 2 x)))>
#<alt (- 4 (exp (neg (* -2 x))))>
#<alt (- 4 (exp (neg (* -2 x))))>
#<alt (- 4 (exp (neg (* -2 x))))>
#<alt (- 4 (exp (neg (* -2 x))))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))>
#<alt (exp (* 2 x))>
#<alt (exp (* 2 x))>
#<alt (exp (* 2 x))>
#<alt (exp (* 2 x))>
#<alt (exp (neg (* -2 x)))>
#<alt (exp (neg (* -2 x)))>
#<alt (exp (neg (* -2 x)))>
#<alt (exp (neg (* -2 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt -1>
#<alt (- (* -2 x) 1)>
#<alt (- (* x (- (* -3 x) 2)) 1)>
#<alt (- (* x (- (* x (- (* -13/3 x) 3)) 2)) 1)>
#<alt (/ (exp x) (- (exp x) 2))>
#<alt (/ (exp x) (- (exp x) 2))>
#<alt (/ (exp x) (- (exp x) 2))>
#<alt (/ (exp x) (- (exp x) 2))>
#<alt (/ (exp x) (- (exp x) 2))>
#<alt (/ (exp x) (- (exp x) 2))>
#<alt (/ (exp x) (- (exp x) 2))>
#<alt (/ (exp x) (- (exp x) 2))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -2 x) 1))>
#<alt (* (pow x 2) (- (* x (- (* -37/12 x) 2)) 1))>
#<alt (* (pow x 2) (- (* x (- (* x (- (* -9/2 x) 37/12)) 2)) 1))>
#<alt (+ (exp x) (/ 1 (- (exp x) 2)))>
#<alt (+ (exp x) (/ 1 (- (exp x) 2)))>
#<alt (+ (exp x) (/ 1 (- (exp x) 2)))>
#<alt (+ (exp x) (/ 1 (- (exp x) 2)))>
#<alt (+ (exp x) (/ 1 (- (exp x) 2)))>
#<alt (+ (exp x) (/ 1 (- (exp x) 2)))>
#<alt (+ (exp x) (/ 1 (- (exp x) 2)))>
#<alt (+ (exp x) (/ 1 (- (exp x) 2)))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -3/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -13/6 x) 3/2)) 1)) 1)>
#<alt (/ 1 (- (exp x) 2))>
#<alt (/ 1 (- (exp x) 2))>
#<alt (/ 1 (- (exp x) 2))>
#<alt (/ 1 (- (exp x) 2))>
#<alt (/ 1 (- (exp x) 2))>
#<alt (/ 1 (- (exp x) 2))>
#<alt (/ 1 (- (exp x) 2))>
#<alt (/ 1 (- (exp x) 2))>
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt -3>
#<alt (- (* -1 x) 3)>
#<alt (- (* x (- (* -1/2 x) 1)) 3)>
#<alt (- (* x (- (* x (- (* -1/6 x) 1/2)) 1)) 3)>
#<alt (* -1 (+ 2 (exp x)))>
#<alt (* -1 (+ 2 (exp x)))>
#<alt (* -1 (+ 2 (exp x)))>
#<alt (* -1 (+ 2 (exp x)))>
#<alt (* -1 (+ 2 (exp x)))>
#<alt (* -1 (+ 2 (exp x)))>
#<alt (* -1 (+ 2 (exp x)))>
#<alt (* -1 (+ 2 (exp x)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* 1/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
Calls

66 calls:

TimeVariablePointExpression
9.0ms
x
@inf
(* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x))
6.0ms
x
@-inf
(* x (* x x))
4.0ms
x
@inf
(+ (/ (- 4 (exp (+ x x))) (- -2 (exp x))) (exp (neg x)))
3.0ms
x
@-inf
(* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x))
2.0ms
x
@-inf
(* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x))

simplify341.0ms (2.6%)

Memory
-6.8MiB live, 594.8MiB allocated
Algorithm
egg-herbie
Rules
12 492×lower-fma.f64
12 492×lower-fma.f32
3 624×lower-*.f64
3 624×lower-*.f32
2 870×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02172381
16152319
214742256
342312253
475412253
080852116
Stop Event
iter limit
node limit
Counts
264 → 262
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(+ (exp (neg x)) (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x)))))
(+ (exp (neg x)) (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x)))))
(+ (exp (neg x)) (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x)))))
(+ (exp (neg x)) (* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x)))))
(+ (exp (* -1 x)) (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x)))))
(+ (exp (* -1 x)) (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x)))))
(+ (exp (* -1 x)) (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x)))))
(+ (exp (* -1 x)) (* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x)))))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x))))
(* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x))))
(* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x))))
(* -1 (/ (- 4 (exp (* 2 x))) (+ 2 (exp x))))
(* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x))))
(* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x))))
(* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x))))
(* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x))))
3
(+ 3 (* -2 x))
(+ 3 (* x (- (* -2 x) 2)))
(+ 3 (* x (- (* x (- (* -4/3 x) 2)) 2)))
(- 4 (exp (* 2 x)))
(- 4 (exp (* 2 x)))
(- 4 (exp (* 2 x)))
(- 4 (exp (* 2 x)))
(- 4 (exp (neg (* -2 x))))
(- 4 (exp (neg (* -2 x))))
(- 4 (exp (neg (* -2 x))))
(- 4 (exp (neg (* -2 x))))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 x))
(exp (neg (* -2 x)))
(exp (neg (* -2 x)))
(exp (neg (* -2 x)))
(exp (neg (* -2 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
-1
(- (* -2 x) 1)
(- (* x (- (* -3 x) 2)) 1)
(- (* x (- (* x (- (* -13/3 x) 3)) 2)) 1)
(/ (exp x) (- (exp x) 2))
(/ (exp x) (- (exp x) 2))
(/ (exp x) (- (exp x) 2))
(/ (exp x) (- (exp x) 2))
(/ (exp x) (- (exp x) 2))
(/ (exp x) (- (exp x) 2))
(/ (exp x) (- (exp x) 2))
(/ (exp x) (- (exp x) 2))
(* -1 (pow x 2))
(* (pow x 2) (- (* -2 x) 1))
(* (pow x 2) (- (* x (- (* -37/12 x) 2)) 1))
(* (pow x 2) (- (* x (- (* x (- (* -9/2 x) 37/12)) 2)) 1))
(+ (exp x) (/ 1 (- (exp x) 2)))
(+ (exp x) (/ 1 (- (exp x) 2)))
(+ (exp x) (/ 1 (- (exp x) 2)))
(+ (exp x) (/ 1 (- (exp x) 2)))
(+ (exp x) (/ 1 (- (exp x) 2)))
(+ (exp x) (/ 1 (- (exp x) 2)))
(+ (exp x) (/ 1 (- (exp x) 2)))
(+ (exp x) (/ 1 (- (exp x) 2)))
-1
(- (* -1 x) 1)
(- (* x (- (* -3/2 x) 1)) 1)
(- (* x (- (* x (- (* -13/6 x) 3/2)) 1)) 1)
(/ 1 (- (exp x) 2))
(/ 1 (- (exp x) 2))
(/ 1 (- (exp x) 2))
(/ 1 (- (exp x) 2))
(/ 1 (- (exp x) 2))
(/ 1 (- (exp x) 2))
(/ 1 (- (exp x) 2))
(/ 1 (- (exp x) 2))
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
-3
(- (* -1 x) 3)
(- (* x (- (* -1/2 x) 1)) 3)
(- (* x (- (* x (- (* -1/6 x) 1/2)) 1)) 3)
(* -1 (+ 2 (exp x)))
(* -1 (+ 2 (exp x)))
(* -1 (+ 2 (exp x)))
(* -1 (+ 2 (exp x)))
(* -1 (+ 2 (exp x)))
(* -1 (+ 2 (exp x)))
(* -1 (+ 2 (exp x)))
(* -1 (+ 2 (exp x)))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
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(* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x))))
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x))))
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x))))
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(* -1 (/ (- 4 (exp (neg (* -2 x)))) (+ 2 (exp x))))
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(-.f64 #s(literal 3 binary64) (+.f64 x x))
(+ 3 (* x (- (* -2 x) 2)))
(fma.f64 x (-.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 3 binary64))
(+ 3 (* x (- (* x (- (* -4/3 x) 2)) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))
(- 4 (exp (* 2 x)))
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))
(- 4 (exp (* 2 x)))
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))
(- 4 (exp (* 2 x)))
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))
(- 4 (exp (* 2 x)))
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))
(- 4 (exp (neg (* -2 x))))
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))
(- 4 (exp (neg (* -2 x))))
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))
(- 4 (exp (neg (* -2 x))))
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))
(- 4 (exp (neg (* -2 x))))
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(+.f64 #s(literal 1 binary64) (+.f64 x x))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(exp (* 2 x))
(exp.f64 (+.f64 x x))
(exp (* 2 x))
(exp.f64 (+.f64 x x))
(exp (* 2 x))
(exp.f64 (+.f64 x x))
(exp (* 2 x))
(exp.f64 (+.f64 x x))
(exp (neg (* -2 x)))
(exp.f64 (+.f64 x x))
(exp (neg (* -2 x)))
(exp.f64 (+.f64 x x))
(exp (neg (* -2 x)))
(exp.f64 (+.f64 x x))
(exp (neg (* -2 x)))
(exp.f64 (+.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 x))
-1
#s(literal -1 binary64)
(- (* -2 x) 1)
(-.f64 #s(literal -1 binary64) (+.f64 x x))
(- (* x (- (* -3 x) 2)) 1)
(fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -13/3 x) 3)) 2)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -13/3 binary64) #s(literal -3 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
(/ (exp x) (- (exp x) 2))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/ (exp x) (- (exp x) 2))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/ (exp x) (- (exp x) 2))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/ (exp x) (- (exp x) 2))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/ (exp x) (- (exp x) 2))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/ (exp x) (- (exp x) 2))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/ (exp x) (- (exp x) 2))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/ (exp x) (- (exp x) 2))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (* -2 x) 1))
(*.f64 x (*.f64 x (-.f64 #s(literal -1 binary64) (+.f64 x x))))
(* (pow x 2) (- (* x (- (* -37/12 x) 2)) 1))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -37/12 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))))
(* (pow x 2) (- (* x (- (* x (- (* -9/2 x) 37/12)) 2)) 1))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -9/2 binary64) #s(literal -37/12 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))))
(+ (exp x) (/ 1 (- (exp x) 2)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(+ (exp x) (/ 1 (- (exp x) 2)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(+ (exp x) (/ 1 (- (exp x) 2)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(+ (exp x) (/ 1 (- (exp x) 2)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(+ (exp x) (/ 1 (- (exp x) 2)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(+ (exp x) (/ 1 (- (exp x) 2)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(+ (exp x) (/ 1 (- (exp x) 2)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(+ (exp x) (/ 1 (- (exp x) 2)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -3/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -3/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -13/6 x) 3/2)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -13/6 binary64) #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/ 1 (- (exp x) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/ 1 (- (exp x) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/ 1 (- (exp x) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/ 1 (- (exp x) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/ 1 (- (exp x) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/ 1 (- (exp x) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/ 1 (- (exp x) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(/ 1 (- (exp x) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
-3
#s(literal -3 binary64)
(- (* -1 x) 3)
(-.f64 #s(literal -3 binary64) x)
(- (* x (- (* -1/2 x) 1)) 3)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -3 binary64))
(- (* x (- (* x (- (* -1/6 x) 1/2)) 1)) 3)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -3 binary64))
(* -1 (+ 2 (exp x)))
(-.f64 #s(literal -2 binary64) (exp.f64 x))
(* -1 (+ 2 (exp x)))
(-.f64 #s(literal -2 binary64) (exp.f64 x))
(* -1 (+ 2 (exp x)))
(-.f64 #s(literal -2 binary64) (exp.f64 x))
(* -1 (+ 2 (exp x)))
(-.f64 #s(literal -2 binary64) (exp.f64 x))
(* -1 (+ 2 (exp x)))
(-.f64 #s(literal -2 binary64) (exp.f64 x))
(* -1 (+ 2 (exp x)))
(-.f64 #s(literal -2 binary64) (exp.f64 x))
(* -1 (+ 2 (exp x)))
(-.f64 #s(literal -2 binary64) (exp.f64 x))
(* -1 (+ 2 (exp x)))
(-.f64 #s(literal -2 binary64) (exp.f64 x))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))

rewrite1.0s (7.9%)

Memory
-4.2MiB live, 636.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 442×lower-*.f32
6 428×lower-*.f64
4 198×lower-/.f32
4 192×lower-/.f64
4 038×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041255
072229
1317215
22577205
09702202
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 049
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)
(+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))
(exp.f64 (+.f64 x x))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(*.f64 x (*.f64 x x))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(-.f64 #s(literal -2 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))
(+.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x x))
(fma.f64 x x (*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) (*.f64 x x))
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal -2 binary64) (exp.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -8 binary64) (exp.f64 (+.f64 x x)))) (fma.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 x))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 #s(literal 2 binary64) (exp.f64 x) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) (-.f64 #s(literal 64 binary64) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) #s(literal 16 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) (-.f64 #s(literal 16 binary64) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))))

eval366.0ms (2.8%)

Memory
38.3MiB live, 380.9MiB allocated
Compiler

Compiled 43 269 to 3 093 computations (92.9% saved)

prune205.0ms (1.6%)

Memory
-36.5MiB live, 302.2MiB allocated
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1 514101 524
Fresh224
Picked325
Done000
Total1 519141 533
Accuracy
100.0%
Counts
1 533 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.1%
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
52.7%
(/.f64 (fma.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
51.4%
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
51.2%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 x)))) (exp.f64 x))
98.8%
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
98.9%
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))
98.9%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
98.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)))
98.5%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)))
97.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x)))
97.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x x)) x)))
97.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x)))
48.7%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))))))
97.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 428 to 214 computations (50% saved)

simplify294.0ms (2.3%)

Memory
27.4MiB live, 585.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
cost-diff0
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)
cost-diff0
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))
cost-diff0
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))
cost-diff0
#s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))
cost-diff0
(fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x)
cost-diff0
(*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x))
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x)
cost-diff0
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x))
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)
cost-diff0
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x))
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)))
cost-diff0
(*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x)
cost-diff0
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x)
cost-diff0
(*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x))
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
Rules
10 306×lower-fma.f32
10 288×lower-fma.f64
4 082×lower-*.f32
4 052×lower-*.f64
1 552×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060593
094542
1225530
2380520
3677520
41371520
52072520
63427520
76041520
08221512
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
(*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x))
x
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x)
(*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x)
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(*.f64 x #s(literal 1/20160 binary64))
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)))
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x))
x
(fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)
(*.f64 x x)
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x)))
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x))
x
(fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x)
(*.f64 x x)
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))
#s(literal 1/360 binary64)
(*.f64 x (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x)))
(*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x))
x
(fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x)
#s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))
(*.f64 x (*.f64 x #s(literal 1/20160 binary64)))
(*.f64 x #s(literal 1/20160 binary64))
#s(literal 1/20160 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))
x
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(*.f64 x (*.f64 x x))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x)))
(*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x))
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x))
x
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x)
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x)
(*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x)
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(*.f64 x #s(literal 1/20160 binary64))
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)))
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x))
x
(fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)
(*.f64 x x)
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x)))
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x))
x
(fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x)
(*.f64 x x)
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))
#s(literal 1/360 binary64)
(*.f64 x (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))))
(*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)))
x
(fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x)
#s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))
#s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x #s(literal 1/20160 binary64)))
(*.f64 x #s(literal 1/20160 binary64))
#s(literal 1/20160 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x)))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x))
x
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(*.f64 x (*.f64 x x))

localize437.0ms (3.4%)

Memory
-10.8MiB live, 701.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))
accuracy100.0%
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy98.9%
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))
accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))
accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/20160 binary64)))
accuracy98.9%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x)))
accuracy3.9%
#s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.8%
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))
accuracy98.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x)))
accuracy6.5%
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))
accuracy100.0%
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x))
accuracy99.5%
(*.f64 x #s(literal 1/12 binary64))
accuracy98.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)))
accuracy97.4%
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))
accuracy99.8%
(*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x)
accuracy99.7%
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
accuracy99.5%
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))
accuracy98.9%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
Samples
225.0ms167×2valid
74.0ms80×1valid
35.0ms0valid
Compiler

Compiled 441 to 56 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 254.0ms
ival-mult: 95.0ms (37.5% of total)
ival-exp: 59.0ms (23.3% of total)
adjust: 39.0ms (15.4% of total)
ival-add: 29.0ms (11.4% of total)
const: 16.0ms (6.3% of total)
ival-div: 10.0ms (3.9% of total)
ival-sub: 4.0ms (1.6% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series55.0ms (0.4%)

Memory
19.0MiB live, 137.5MiB allocated
Counts
28 → 336
Calls
Call 1
Inputs
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))>
#<alt (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x))>
#<alt (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x)>
#<alt (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x)>
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x))>
#<alt (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)>
#<alt (*.f64 x x)>
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x)))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x))>
#<alt (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x)>
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x)))>
#<alt (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x))>
#<alt (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x)>
#<alt #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))>
#<alt #s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))>
#<alt (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))>
#<alt (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)>
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))>
#<alt (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))>
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))>
#<alt #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))>
#<alt (*.f64 x #s(literal 1/12 binary64))>
#<alt #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))>
#<alt (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))>
#<alt (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))>
Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 5))>
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 5))>
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* 1/20160 (pow x 3))>
Calls

84 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(* x (+ (* (* x x) 1/360) 1/12))
4.0ms
x
@inf
(+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)
4.0ms
x
@-inf
(/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2))))
1.0ms
x
@inf
(* x (+ (* (* (* x (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12)) x) x) x))
1.0ms
x
@-inf
(* x (+ (* (* (* x (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12)) x) x) x))

simplify382.0ms (3%)

Memory
-23.8MiB live, 416.4MiB allocated
Algorithm
egg-herbie
Rules
10 784×lower-fma.f64
10 784×lower-fma.f32
3 736×lower-*.f64
3 736×lower-*.f32
1 734×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01173328
14003222
210603169
330033162
461663162
081872971
Stop Event
iter limit
node limit
Counts
336 → 331
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
(* 1/20160 (pow x 3))
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)
(* 1/20160 (pow x 7))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64)))
(* 1/20160 (pow x 7))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* 1/20160 (pow x 6))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* 1/20160 (pow x 6))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
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(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* 1/20160 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))

rewrite316.0ms (2.4%)

Memory
21.7MiB live, 482.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 708×lower-*.f32
4 678×lower-*.f64
4 438×lower-/.f64
4 438×lower-/.f32
3 582×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060522
094475
1420465
22439447
08419439
Stop Event
iter limit
node limit
iter limit
Counts
28 → 413
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
(*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x))
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x)
(*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)))
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x))
(fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)
(*.f64 x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x)))
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x))
(fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x)))
(*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x))
(fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x)
#s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/12 binary64))
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 1/20160 binary64)))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(+.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 x x))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 x x))))
(fma.f64 x x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x x))
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x (*.f64 x x)) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 x x) (*.f64 x x))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x x))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 x x)))
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (neg.f64 x)))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (neg.f64 x)))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64))))) (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/1728 binary64)))) (neg.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/144 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal -1/144 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/1728 binary64)) x)) (neg.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/144 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal -1/144 binary64)) x)) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x)
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x #s(literal 1/360 binary64)))
(+.f64 (*.f64 x #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x #s(literal 1/360 binary64)))) (/.f64 (*.f64 (*.f64 x #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/360 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x #s(literal 1/360 binary64)))))
(fma.f64 x #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) (*.f64 x #s(literal 1/360 binary64)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/360 binary64)))
(fma.f64 (*.f64 x #s(literal 1/20160 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/360 binary64)))
(fma.f64 #s(literal 1/360 binary64) x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/20160 binary64)) (*.f64 x #s(literal 1/360 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/20160 binary64) (*.f64 x #s(literal 1/360 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) x (*.f64 x #s(literal 1/360 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/360 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x #s(literal 1/360 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/360 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x #s(literal 1/360 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal 1/129600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64)) x) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal 1/129600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/360 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x #s(literal 1/360 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/360 binary64))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x #s(literal 1/360 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal 1/129600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal 1/129600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) x)
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/360 binary64)))
(*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64))
(*.f64 (*.f64 x #s(literal 1/360 binary64)) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 x (*.f64 x #s(literal 1/20160 binary64)))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/20160 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x #s(literal 1/20160 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/20160 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/20160 binary64))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) x)

eval123.0ms (1%)

Memory
3.6MiB live, 217.2MiB allocated
Compiler

Compiled 29 161 to 1 439 computations (95.1% saved)

prune83.0ms (0.6%)

Memory
-3.4MiB live, 194.4MiB allocated
Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New8857892
Fresh257
Picked235
Done022
Total88917906
Accuracy
100.0%
Counts
906 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.1%
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
52.7%
(/.f64 (fma.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
51.4%
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
51.2%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 x)))) (exp.f64 x))
98.8%
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
98.9%
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))
97.8%
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x)))
98.9%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
98.9%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
97.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x)))
98.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)))
98.5%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)))
97.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (* (* x (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) x x)))
98.5%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x)))
97.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
48.7%
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
49.0%
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))))
Compiler

Compiled 509 to 256 computations (49.7% saved)

simplify285.0ms (2.2%)

Memory
6.2MiB live, 427.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))))
cost-diff0
(fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x)
cost-diff0
(*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x))
cost-diff0
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x)))
cost-diff0
(*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x)
cost-diff0
(fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x)
cost-diff0
(*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x))
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x)))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))
cost-diff0
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))
cost-diff0
#s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))))
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))))
cost-diff0
(*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))))
cost-diff0
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x))
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x)))
cost-diff128
(+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x)
cost-diff0
(*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x)
cost-diff0
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) x x)
cost-diff0
(*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) x x))
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
Rules
9 282×lower-fma.f32
9 266×lower-fma.f64
3 444×lower-*.f32
3 404×lower-*.f64
2 916×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074822
0116762
1253712
2468712
3846712
41491712
52810703
67514703
08142682
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
(*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) x x))
x
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) x x)
(*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x)
(*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)))
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x)
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
#s(literal 1/406425600 binary64)
#s(literal -1/129600 binary64)
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))
(*.f64 x #s(literal 1/20160 binary64))
#s(literal 1/20160 binary64)
#s(literal -1/360 binary64)
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x)))
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x))
x
(+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x)
(*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))))
(*.f64 x x)
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))))
#s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))
x
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(*.f64 x (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x)))
(*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x))
x
(fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x)
(*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x)
(*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
#s(literal 1/20160 binary64)
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x)))
(*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x))
x
(fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x)
#s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(*.f64 x x)
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
(*.f64 x (*.f64 x x))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))
(*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) x x))
(*.f64 x (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x))
x
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) x x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)
(*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x)
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)))
(*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)))
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x x)
#s(literal 1/406425600 binary64)
#s(literal -1/129600 binary64)
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))
(*.f64 x #s(literal 1/20160 binary64))
#s(literal 1/20160 binary64)
#s(literal -1/360 binary64)
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)))
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x))
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x))
x
(+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x)
(fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)
(*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))))
(*.f64 x x)
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))
#s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))))
#s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
x
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(*.f64 x (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) x)))
(*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x))
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) x))
x
(fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) x)
(*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x)
(*.f64 x (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))
(*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
#s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
#s(literal 1/20160 binary64)
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x x)
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))) x)))
(*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x))
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))) x))
x
(fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))) x)
#s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))))
#s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(*.f64 x x)
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
(*.f64 x (*.f64 x x))

localize441.0ms (3.4%)

Memory
30.5MiB live, 752.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))
accuracy99.7%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
accuracy98.9%
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x)))
accuracy4.6%
#s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))))
accuracy99.8%
(*.f64 (*.f64 x x) (*.f64 x x))
accuracy99.5%
(*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
accuracy98.9%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x)))
accuracy3.9%
#s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.8%
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))
accuracy49.2%
#s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))))
accuracy49.0%
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))))
accuracy99.8%
(*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))))
accuracy99.5%
(*.f64 x #s(literal 1/12 binary64))
accuracy98.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x)))
accuracy97.4%
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))
accuracy99.7%
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x)
accuracy99.5%
(*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)))
accuracy99.4%
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))
accuracy98.9%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
Samples
254.0ms167×2valid
97.0ms80×1valid
4.0ms0valid
Compiler

Compiled 605 to 65 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 299.0ms
ival-mult: 104.0ms (34.8% of total)
ival-exp: 67.0ms (22.4% of total)
adjust: 40.0ms (13.4% of total)
const: 34.0ms (11.4% of total)
ival-add: 34.0ms (11.4% of total)
ival-div: 13.0ms (4.4% of total)
ival-sub: 4.0ms (1.3% of total)
ival-neg: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series366.0ms (2.8%)

Memory
-20.7MiB live, 127.1MiB allocated
Counts
31 → 372
Calls
Call 1
Inputs
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))>
#<alt (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) x x))>
#<alt (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) x x)>
#<alt (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x)>
#<alt (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x)>
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x)))>
#<alt (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x))>
#<alt (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))))>
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))))>
#<alt #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))))>
#<alt (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))>
#<alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))>
#<alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x)))>
#<alt (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x))>
#<alt (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x)>
#<alt (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x)>
#<alt #s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x)))>
#<alt (*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x))>
#<alt (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x)>
#<alt #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))))>
#<alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))>
#<alt (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)))>
#<alt (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x)>
#<alt #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))>
#<alt (*.f64 x #s(literal 1/12 binary64))>
#<alt (*.f64 x (*.f64 x x))>
#<alt #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))>
#<alt (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))>
#<alt (*.f64 (*.f64 x x) (*.f64 x x))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))>
#<alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))>
Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 5))>
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 5))>
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1/129600 x)>
#<alt (* x (- (* 1/406425600 (pow x 4)) 1/129600))>
#<alt (* x (- (* 1/406425600 (pow x 4)) 1/129600))>
#<alt (* x (- (* 1/406425600 (pow x 4)) 1/129600))>
#<alt (* 1/406425600 (pow x 5))>
#<alt (* (pow x 5) (- 1/406425600 (* 1/129600 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (- 1/406425600 (* 1/129600 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (- 1/406425600 (* 1/129600 (/ 1 (pow x 4)))))>
#<alt (* 1/406425600 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600)))>
#<alt (* -1 (* (pow x 5) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600)))>
#<alt (* -1 (* (pow x 5) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600)))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 5))>
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 5))>
#<alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
Calls

93 calls:

TimeVariablePointExpression
115.0ms
x
@0
(* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x))
27.0ms
x
@-inf
(+ (* (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (* x (* x x))) x)
3.0ms
x
@inf
(* x (+ (* (* (* x (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (+ (* x (* x 1/20160)) -1/360))) 1/12)) x) x) x))
3.0ms
x
@-inf
(* x (+ (* (* (* x (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (+ (* x (* x 1/20160)) -1/360))) 1/12)) x) x) x))
1.0ms
x
@inf
(/ (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (+ (* x (* x 1/20160)) -1/360))

simplify1.0s (7.7%)

Memory
10.1MiB live, 420.7MiB allocated
Algorithm
egg-herbie
Rules
11 108×lower-fma.f64
11 108×lower-fma.f32
4 160×lower-*.f64
4 160×lower-*.f32
1 690×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01353858
14533758
211603707
331943702
465383702
081293469
Stop Event
iter limit
node limit
Counts
372 → 368
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(/ (* (+ (exp x) (/ 1 (- (exp x) 2))) (- (exp x) 2)) (exp x))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1/129600 x)
(* x (- (* 1/406425600 (pow x 4)) 1/129600))
(* x (- (* 1/406425600 (pow x 4)) 1/129600))
(* x (- (* 1/406425600 (pow x 4)) 1/129600))
(* 1/406425600 (pow x 5))
(* (pow x 5) (- 1/406425600 (* 1/129600 (/ 1 (pow x 4)))))
(* (pow x 5) (- 1/406425600 (* 1/129600 (/ 1 (pow x 4)))))
(* (pow x 5) (- 1/406425600 (* 1/129600 (/ 1 (pow x 4)))))
(* 1/406425600 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600)))
(* -1 (* (pow x 5) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600)))
(* -1 (* (pow x 5) (- (* 1/129600 (/ 1 (pow x 4))) 1/406425600)))
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
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(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* 1/20160 (pow x 3))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* 1/20160 (pow x 3))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))
(* 1/20160 (pow x 4))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))
(* 1/20160 (pow x 4))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))

rewrite411.0ms (3.2%)

Memory
16.5MiB live, 367.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 210×lower-*.f32
5 170×lower-*.f64
4 606×lower-fma.f32
4 590×lower-fma.f64
2 964×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074717
0116674
1467573
23204554
08144543
Stop Event
iter limit
node limit
iter limit
Counts
31 → 390
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
(*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) x x))
(fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) x x)
(*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x)
(+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x)))
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x))
(*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))))
#s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x)))
(*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x))
(fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x)
(*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x)
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x)))
(*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x))
(fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x)
#s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))
(*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x)
#s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/12 binary64))
(*.f64 x (*.f64 x x))
#s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))
(+.f64 (*.f64 x x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(fma.f64 x x (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))))
(fma.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))) (*.f64 x x))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x x))
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x (*.f64 x x)) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x x) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))) x (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))) (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 x x)))
(/.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))))))
(/.f64 (*.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) (neg.f64 x)))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x))) x) (fma.f64 x (-.f64 x (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) (neg.f64 x))) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) (neg.f64 x)))
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(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64))) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/360 binary64)))) (-.f64 (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/360 binary64))))
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(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/67134099304759689216000000 binary64)) #s(literal -1/2176782336000000 binary64)) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/165181768335360000 binary64) (-.f64 #s(literal 1/16796160000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/52672757760000 binary64)))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
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(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/20160 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/20160 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))
(fma.f64 (*.f64 x #s(literal 1/20160 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/20160 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/20160 binary64)) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))
(fma.f64 (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))) x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/20160 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))
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(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))
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(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/20160 binary64)) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/20160 binary64)) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64))) (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))
(/.f64 (*.f64 x (*.f64 (neg.f64 x) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64)) (*.f64 x x)) (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))
(/.f64 (*.f64 (*.f64 (neg.f64 x) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) x) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)))) #s(literal -1 binary64))
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(*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) x))
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) x)
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (*.f64 x x))
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(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal -1/46656000 binary64))) (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)) (*.f64 (*.f64 x x) #s(literal -1/7257600 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))

eval146.0ms (1.1%)

Memory
-32.2MiB live, 234.6MiB allocated
Compiler

Compiled 22 939 to 1 655 computations (92.8% saved)

prune154.0ms (1.2%)

Memory
-15.3MiB live, 222.7MiB allocated
Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New7945799
Fresh167
Picked235
Done055
Total79719816
Accuracy
100.0%
Counts
816 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.1%
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
52.7%
(/.f64 (fma.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
51.4%
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
51.2%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 x)))) (exp.f64 x))
98.8%
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
98.9%
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))
97.8%
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))) (*.f64 x x) x)))
98.9%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
98.5%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
98.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
98.9%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
97.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x)))
98.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)))
98.5%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)))
98.5%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x)))
97.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
49.0%
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x x))))
48.7%
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
49.0%
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x #s(approx (* (+ (* (* x x) 1/360) 1/12) (* x (* x x))) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
Compiler

Compiled 889 to 316 computations (64.5% saved)

regimes36.0ms (0.3%)

Memory
-8.2MiB live, 29.8MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x #s(approx (* (+ (* (* x x) 1/360) 1/12) (* x (* x x))) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)))
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (* (* x (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x x)) x)))
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x)))
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))) (*.f64 x x) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 #s(approx (* (+ (* (* (* x x) (* x x)) 1/406425600) -1/129600) x) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 x)))) (exp.f64 x))
(+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
Calls

2 calls:

8.0ms
x
7.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
98.9%1x
98.9%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes10.0ms (0.1%)

Memory
19.2MiB live, 19.2MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x #s(approx (* (+ (* (* x x) 1/360) 1/12) (* x (* x x))) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)))
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x x)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (* (* x (+ (* x (* x (+ (* x (* x 1/20160)) 1/360))) 1/12)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x x)) x)))
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (*.f64 x (*.f64 x x)) x)))
#s(approx (/ (+ (* 1 (/ 1 (+ (exp x) -2))) (exp x)) (* (exp x) (/ 1 (+ (exp x) -2)))) (*.f64 x (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))) (*.f64 x x) x)))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)))
Calls

2 calls:

5.0ms
x
4.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
98.8%1x
98.8%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes7.0ms (0.1%)

Memory
17.2MiB live, 17.2MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x #s(approx (* (+ (* (* x x) 1/360) 1/12) (* x (* x x))) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64))) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 x #s(literal 1/12 binary64)))) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x #s(approx (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (* x (+ (* (* x x) 1/360) 1/12)) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))) x)))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
Calls

2 calls:

3.0ms
x
3.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
98.5%1x
98.5%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0%)

Memory
-28.5MiB live, 8.9MiB allocated
Accuracy

Total -31.2b remaining (-2186.7%)

Threshold costs -31.2b (-2186.7%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x)) (*.f64 x #s(approx (* (+ (* (* x x) 1/360) 1/12) (* x (* x x))) (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Calls

2 calls:

3.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
1.0ms
x
Results
AccuracySegmentsBranch
97.8%1x
97.8%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0%)

Memory
16.8MiB live, 16.8MiB allocated
Algorithm
egg-herbie
Rules
18×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03084
13984
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))) x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

soundness620.0ms (4.8%)

Memory
-21.4MiB live, 346.2MiB allocated
Rules
17 068×lower-fma.f64
17 068×lower-fma.f32
6 442×lower-*.f32
6 428×lower-*.f64
4 198×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041255
072229
1317215
22577205
09702202
060269
1168268
2397262
31053262
41755262
53019262
63833262
75252262
86659262
08202241
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 107 to 48 computations (55.1% saved)

preprocess50.0ms (0.4%)

Memory
29.6MiB live, 107.6MiB allocated
Remove

(abs x)

Compiler

Compiled 280 to 140 computations (50% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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