1 / (2 * cosh(x) + 2)

Time bar (total: 4.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 16 to 13 computations (18.8% saved)

sample977.0ms (22.2%)

Memory
52.8MiB live, 564.2MiB allocated
Samples
593.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 412.0ms
ival-cosh: 108.0ms (26.2% of total)
ival-div: 84.0ms (20.4% of total)
ival-<=: 76.0ms (18.5% of total)
ival-mult: 62.0ms (15.1% of total)
ival-add: 45.0ms (10.9% of total)
exact: 19.0ms (4.6% of total)
ival-and: 14.0ms (3.4% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain108.0ms (2.4%)

Memory
-29.5MiB live, 41.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
00-0-(*.f64 #s(literal 2 binary64) (cosh.f64 x))
00-0-#s(literal 2 binary64)
00-0-#s(literal 1 binary64)
00-0-(cosh.f64 x)
00-0-(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
30.0ms512×0valid
Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cosh: 6.0ms (35.5% of total)
ival-div: 3.0ms (17.8% of total)
ival-mult: 3.0ms (17.8% of total)
ival-add: 2.0ms (11.8% of total)
ival-true: 1.0ms (5.9% of total)
exact: 1.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)

preprocess319.0ms (7.2%)

Memory
-15.0MiB live, 65.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0918
12718
25618
312514
423114
539414
681814
7208214
8504114
9740714
078
0118
1208
2318
3496
4656
51026
61836
74266
813086
954486
1059016
1159466
1259466
1359466
1459486
1559486
1666666
1769836
1869836
0157926
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (cosh.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify373.0ms (8.5%)

Memory
-51.0MiB live, 60.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cosh.f64 x)
cost-diff0
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
cost-diff1
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
cost-diff1
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
12023
23123
34921
46521
510221
618321
742621
8130821
9544821
10590121
11594621
12594621
13594621
14594821
15594821
16666621
17698321
18698321
01579220
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
#s(literal 2 binary64)
(cosh.f64 x)
x
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (cosh.f64 x) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(cosh.f64 x)
x

localize20.0ms (0.5%)

Memory
8.3MiB live, 8.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
accuracy0.0
(cosh.f64 x)
accuracy0.0078125
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
Samples
15.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cosh: 3.0ms (36.7% of total)
ival-div: 2.0ms (24.4% of total)
ival-mult: 2.0ms (24.4% of total)
ival-add: 1.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
1.5MiB live, 1.5MiB allocated
Counts
4 → 20
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(cosh.f64 x)
Outputs
1/4
(+ 1/4 (* -1/16 (pow x 2)))
(+ 1/4 (* (pow x 2) (- (* 1/96 (pow x 2)) 1/16)))
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/96 (* -17/11520 (pow x 2)))) 1/16)))
4
(+ 4 (pow x 2))
(+ 4 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 4 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(/ 1 (+ 2 (+ (exp x) (/ 1 (exp x)))))
(+ 2 (+ (exp x) (/ 1 (exp x))))
(+ (exp x) (/ 1 (exp x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((/ 1 (+ (* 2 (cosh x)) 2)) (+ (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x))
2.0ms
x
@inf
((/ 1 (+ (* 2 (cosh x)) 2)) (+ (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x))
1.0ms
x
@0
((/ 1 (+ (* 2 (cosh x)) 2)) (+ (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x))

simplify200.0ms (4.5%)

Memory
33.9MiB live, 33.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059188
1149188
2385180
3899180
41544180
51762180
61954180
72614180
83285180
94511180
106156180
117137180
127285180
137399180
147423180
08195156
Stop Event
iter limit
node limit
Counts
20 → 20
Calls
Call 1
Inputs
1/4
(+ 1/4 (* -1/16 (pow x 2)))
(+ 1/4 (* (pow x 2) (- (* 1/96 (pow x 2)) 1/16)))
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/96 (* -17/11520 (pow x 2)))) 1/16)))
4
(+ 4 (pow x 2))
(+ 4 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 4 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(/ 1 (+ 2 (+ (exp x) (/ 1 (exp x)))))
(+ 2 (+ (exp x) (/ 1 (exp x))))
(+ (exp x) (/ 1 (exp x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
Outputs
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/16 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* (pow x 2) (- (* 1/96 (pow x 2)) 1/16)))
(fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/96 (* -17/11520 (pow x 2)))) 1/16)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -17/11520 binary64) (*.f64 x x) #s(literal 1/96 binary64)) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
4
#s(literal 4 binary64)
(+ 4 (pow x 2))
(fma.f64 x x #s(literal 4 binary64))
(+ 4 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 4 binary64)))
(+ 4 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 4 binary64))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/ 1 (+ 2 (+ (exp x) (/ 1 (exp x)))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(+ 2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))

rewrite178.0ms (4%)

Memory
-27.7MiB live, 54.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
14320
222420
3203220
0860718
Stop Event
iter limit
node limit
iter limit
Counts
4 → 369
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(cosh.f64 x)
Outputs
(*.f64 (pow.f64 (pow.f64 (+.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (cosh.f64 x) (-.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (cosh.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) (-.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (cosh.f64 x) #s(literal -4 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (*.f64 (cosh.f64 x) #s(literal -4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 (fma.f64 (cosh.f64 x) #s(literal -4 binary64) #s(literal 4 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (cosh.f64 x) #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 (cosh.f64 x) #s(literal -4 binary64) #s(literal 4 binary64)) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) #s(literal -16 binary64))) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 4 binary64)))
(*.f64 (/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -64 binary64))) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 16 binary64) #s(literal 16 binary64))))
(*.f64 (/.f64 (fma.f64 (cosh.f64 x) (-.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -64 binary64))) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)))
(*.f64 (/.f64 (fma.f64 (cosh.f64 x) (-.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 9 binary64)) #s(literal 512 binary64) #s(literal 512 binary64))) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64) (-.f64 #s(literal 64 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))) (pow.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (cosh.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))) (fma.f64 #s(literal -2 binary64) (cosh.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (cosh.f64 x) (-.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 (cosh.f64 x) (-.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 4 binary64)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (+.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)))
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(-.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (cosh.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (cosh.f64 x) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
(+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
(+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(+.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (cosh.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (cosh.f64 x) #s(literal 2 binary64)))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(+.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 (cosh.f64 x))))
(*.f64 (exp.f64 (log.f64 (cosh.f64 x))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (-.f64 (neg.f64 x) x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (-.f64 (neg.f64 x) x))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 (cosh.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (-.f64 (neg.f64 x) x))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal -4 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (-.f64 (neg.f64 x) x))))))
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal -4 binary64))) #s(literal 2 binary64))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (-.f64 (neg.f64 x) x))))))
(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (cosh.f64 x) #s(literal -4 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (-.f64 (neg.f64 x) x))))
(/.f64 #s(literal -2 binary64) (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (-.f64 (neg.f64 x) x))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal -4 binary64)))))
(/.f64 #s(literal 2 binary64) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (-.f64 (neg.f64 x) x))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal -4 binary64))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (-.f64 (neg.f64 x) x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64))
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (cosh.f64 x))
(pow.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (-.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (-.f64 (neg.f64 x) x))))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (*.f64 (cosh.f64 x) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (expm1.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 4 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(cosh.f64 x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))

eval33.0ms (0.7%)

Memory
27.2MiB live, 27.2MiB allocated
Compiler

Compiled 8 082 to 1 285 computations (84.1% saved)

prune11.0ms (0.2%)

Memory
17.3MiB live, 17.3MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New37910389
Fresh000
Picked101
Done000
Total38010390
Accuracy
100.0%
Counts
390 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 #s(literal 1 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
100.0%
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x)))
92.9%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
88.8%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
75.4%
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)))
75.4%
(/.f64 #s(literal 1 binary64) #s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64))))
49.9%
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/11520 binary64) (*.f64 x x) #s(literal 1/96 binary64)) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
49.9%
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
49.8%
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))
50.3%
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) #s(literal 1/4 binary64))
Compiler

Compiled 316 to 228 computations (27.8% saved)

simplify285.0ms (6.5%)

Memory
-12.2MiB live, 64.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff1
(+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
cost-diff1
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
cost-diff0
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
cost-diff0
(fma.f64 x x #s(literal 4 binary64))
cost-diff0
#s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64))))
cost-diff0
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) #s(literal 1/4 binary64))
cost-diff0
(exp.f64 (neg.f64 x))
cost-diff0
(+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))
cost-diff1
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x)))
cost-diff3
(+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033212
053212
186212
2133212
3244200
4324200
5356200
6502200
7833200
81736200
95877200
106328200
116364200
126364200
136364200
146366200
156366200
167100200
177417200
187417200
016226196
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x)))
#s(literal 1 binary64)
(+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
(+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(exp.f64 x)
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64))))
#s(literal 1 binary64)
#s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64)))
(fma.f64 x x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
(fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64))
#s(literal 1/96 binary64)
(*.f64 x x)
x
#s(literal -1/16 binary64)
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 2 binary64)
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (cosh.f64 x) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(exp.f64 x)
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64))))
#s(literal 1 binary64)
#s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64)))
(fma.f64 x x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/96 binary64) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
(fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/96 binary64) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/96 binary64) #s(literal -1/16 binary64))
#s(literal 1/96 binary64)
(*.f64 x x)
x
#s(literal -1/16 binary64)
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)

localize69.0ms (1.6%)

Memory
29.5MiB live, 29.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
accuracy0.02734375
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
accuracy0.0859375
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy7.18515162696216
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy0.0
(*.f64 x x)
accuracy0.03125
(fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
accuracy0.0859375
(fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64))
accuracy32.05532742131081
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
accuracy0.0
(fma.f64 x x #s(literal 4 binary64))
accuracy0.01171875
(/.f64 #s(literal 1 binary64) #s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64))))
accuracy15.707255770157989
#s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64)))
accuracy31.833177020961255
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) #s(literal 1/4 binary64))
accuracy0.0
(exp.f64 x)
accuracy0.00390625
(+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
accuracy0.00390625
(+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x)))
Samples
51.0ms256×0valid
Compiler

Compiled 149 to 31 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-add: 9.0ms (24.9% of total)
ival-mult: 9.0ms (24.9% of total)
const: 6.0ms (16.6% of total)
ival-exp: 4.0ms (11.1% of total)
ival-div: 3.0ms (8.3% of total)
ival-cosh: 3.0ms (8.3% of total)
exact: 1.0ms (2.8% of total)
ival-neg: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory
-73.1MiB live, 4.2MiB allocated
Counts
19 → 55
Calls
Call 1
Inputs
(+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x)))
(+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) #s(literal 1/4 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64))))
#s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64)))
(fma.f64 x x #s(literal 4 binary64))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
(fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(exp.f64 x)
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
Outputs
4
(+ 4 (pow x 2))
(+ 4 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 4 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
1/4
(+ 1/4 (* -1/16 (pow x 2)))
(+ 1/4 (* (pow x 2) (- (* 1/96 (pow x 2)) 1/16)))
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/96 (* -17/11520 (pow x 2)))) 1/16)))
3
(+ 3 (* -1 x))
(+ 3 (* x (- (* 1/2 x) 1)))
(+ 3 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
-1/16
(- (* 1/96 (pow x 2)) 1/16)
(pow x 2)
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 2 (+ (exp x) (exp (neg x))))
(/ 1 (+ 2 (+ (exp x) (exp (neg x)))))
(+ 2 (exp (neg x)))
(exp (neg x))
(/ 1 (+ 2 (+ (exp x) (/ 1 (exp x)))))
(+ 2 (+ (exp x) (/ 1 (exp x))))
(* (pow x 2) (+ 1 (* 4 (/ 1 (pow x 2)))))
(* 1/96 (pow x 4))
(* (pow x 4) (- 1/96 (* 1/16 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/96 (/ 1/4 (pow x 4))) (* 1/16 (/ 1 (pow x 2)))))
(* 1/96 (pow x 2))
(* (pow x 2) (- 1/96 (* 1/16 (/ 1 (pow x 2)))))
(+ (exp x) (/ 1 (exp x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(exp x)
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+ 2 (+ (exp x) (exp (* -1 x))))
(/ 1 (+ 2 (+ (exp x) (exp (* -1 x)))))
(+ 2 (exp (* -1 x)))
(exp (* -1 x))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@0
((+ (+ 2 (exp (neg x))) (exp x)) (/ 1 (+ (+ 2 (exp (neg x))) (exp x))) (+ 2 (exp (neg x))) (exp (neg x)) (/ 1 (+ (* 2 (cosh x)) 2)) (/ 1 (+ (* 2 (cosh x)) 2)) (+ (* 2 (cosh x)) 2) (+ (* x x) 4) (/ 1 (+ (* 2 (cosh x)) 2)) (+ (* (+ (* 1/96 (* x x)) -1/16) (* x x)) 1/4) (+ (* 1/96 (* x x)) -1/16) (* x x) (/ 1 (+ (* 2 (cosh x)) 2)) (+ (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (exp x) (+ (* 1/24 (* x x)) 1/2) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1))
4.0ms
x
@-inf
((+ (+ 2 (exp (neg x))) (exp x)) (/ 1 (+ (+ 2 (exp (neg x))) (exp x))) (+ 2 (exp (neg x))) (exp (neg x)) (/ 1 (+ (* 2 (cosh x)) 2)) (/ 1 (+ (* 2 (cosh x)) 2)) (+ (* 2 (cosh x)) 2) (+ (* x x) 4) (/ 1 (+ (* 2 (cosh x)) 2)) (+ (* (+ (* 1/96 (* x x)) -1/16) (* x x)) 1/4) (+ (* 1/96 (* x x)) -1/16) (* x x) (/ 1 (+ (* 2 (cosh x)) 2)) (+ (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (exp x) (+ (* 1/24 (* x x)) 1/2) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1))
3.0ms
x
@inf
((+ (+ 2 (exp (neg x))) (exp x)) (/ 1 (+ (+ 2 (exp (neg x))) (exp x))) (+ 2 (exp (neg x))) (exp (neg x)) (/ 1 (+ (* 2 (cosh x)) 2)) (/ 1 (+ (* 2 (cosh x)) 2)) (+ (* 2 (cosh x)) 2) (+ (* x x) 4) (/ 1 (+ (* 2 (cosh x)) 2)) (+ (* (+ (* 1/96 (* x x)) -1/16) (* x x)) 1/4) (+ (* 1/96 (* x x)) -1/16) (* x x) (/ 1 (+ (* 2 (cosh x)) 2)) (+ (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (exp x) (+ (* 1/24 (* x x)) 1/2) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1))

simplify154.0ms (3.5%)

Memory
40.3MiB live, 40.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122426
1318424
2744416
31977416
43248416
56247416
08045366
Stop Event
iter limit
node limit
Counts
55 → 55
Calls
Call 1
Inputs
4
(+ 4 (pow x 2))
(+ 4 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 4 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
1/4
(+ 1/4 (* -1/16 (pow x 2)))
(+ 1/4 (* (pow x 2) (- (* 1/96 (pow x 2)) 1/16)))
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/96 (* -17/11520 (pow x 2)))) 1/16)))
3
(+ 3 (* -1 x))
(+ 3 (* x (- (* 1/2 x) 1)))
(+ 3 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
-1/16
(- (* 1/96 (pow x 2)) 1/16)
(pow x 2)
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 2 (+ (exp x) (exp (neg x))))
(/ 1 (+ 2 (+ (exp x) (exp (neg x)))))
(+ 2 (exp (neg x)))
(exp (neg x))
(/ 1 (+ 2 (+ (exp x) (/ 1 (exp x)))))
(+ 2 (+ (exp x) (/ 1 (exp x))))
(* (pow x 2) (+ 1 (* 4 (/ 1 (pow x 2)))))
(* 1/96 (pow x 4))
(* (pow x 4) (- 1/96 (* 1/16 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/96 (/ 1/4 (pow x 4))) (* 1/16 (/ 1 (pow x 2)))))
(* 1/96 (pow x 2))
(* (pow x 2) (- 1/96 (* 1/16 (/ 1 (pow x 2)))))
(+ (exp x) (/ 1 (exp x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(exp x)
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+ 2 (+ (exp x) (exp (* -1 x))))
(/ 1 (+ 2 (+ (exp x) (exp (* -1 x)))))
(+ 2 (exp (* -1 x)))
(exp (* -1 x))
Outputs
4
#s(literal 4 binary64)
(+ 4 (pow x 2))
(fma.f64 x x #s(literal 4 binary64))
(+ 4 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 4 binary64)))
(+ 4 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 4 binary64))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/16 (pow x 2)))
(fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(+ 1/4 (* (pow x 2) (- (* 1/96 (pow x 2)) 1/16)))
(fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/96 (* -17/11520 (pow x 2)))) 1/16)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -17/11520 binary64) (*.f64 x x) #s(literal 1/96 binary64)) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -1 x))
(-.f64 #s(literal 3 binary64) x)
(+ 3 (* x (- (* 1/2 x) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 3 binary64))
(+ 3 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
-1/16
#s(literal -1/16 binary64)
(- (* 1/96 (pow x 2)) 1/16)
(fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64))
(pow x 2)
(*.f64 x x)
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64))))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 2 (+ (exp x) (exp (neg x))))
(+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(/ 1 (+ 2 (+ (exp x) (exp (neg x)))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(+ 2 (exp (neg x)))
(+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))
(exp (neg x))
(exp.f64 (neg.f64 x))
(/ 1 (+ 2 (+ (exp x) (/ 1 (exp x)))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(+ 2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(* (pow x 2) (+ 1 (* 4 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 4 binary64))
(* 1/96 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/96 binary64))
(* (pow x 4) (- 1/96 (* 1/16 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) x) x)
(* (pow x 4) (- (+ 1/96 (/ 1/4 (pow x 4))) (* 1/16 (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(* 1/96 (pow x 2))
(*.f64 #s(literal 1/96 binary64) (*.f64 x x))
(* (pow x 2) (- 1/96 (* 1/16 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(exp x)
(exp.f64 x)
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/24 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 2 (+ (exp x) (exp (* -1 x))))
(+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(/ 1 (+ 2 (+ (exp x) (exp (* -1 x)))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(+ 2 (exp (* -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))
(exp (* -1 x))
(exp.f64 (neg.f64 x))

rewrite238.0ms (5.4%)

Memory
-34.8MiB live, 54.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033191
053191
1225187
21546187
08154179
Stop Event
iter limit
node limit
iter limit
Counts
19 → 480
Calls
Call 1
Inputs
(+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x)))
(+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) #s(literal 1/4 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64))))
#s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64)))
(fma.f64 x x #s(literal 4 binary64))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
(fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(exp.f64 x)
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (+.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) #s(literal 4 binary64)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (pow.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 4 binary64))))))
(*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
(*.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))))
(*.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (-.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))) (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (fma.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))))
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))

eval59.0ms (1.3%)

Memory
48.5MiB live, 48.5MiB allocated
Compiler

Compiled 15 312 to 2 173 computations (85.8% saved)

prune20.0ms (0.5%)

Memory
-53.0MiB live, 24.9MiB allocated
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New5466552
Fresh235
Picked145
Done000
Total54913562
Accuracy
100.0%
Counts
562 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 #s(literal 1 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
88.8%
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)))
100.0%
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x)))
92.9%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
88.8%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
49.0%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))) #s(literal 2 binary64)))
77.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ 2 (exp (neg x))) #s(literal 3 binary64)) (exp.f64 x)))
75.4%
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)))
75.4%
(/.f64 #s(literal 1 binary64) #s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64))))
49.9%
#s(approx (/ 1 (+ (+ 2 (exp (neg x))) (exp x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/11520 binary64) (*.f64 x x) #s(literal 1/96 binary64)) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
49.8%
#s(approx (/ 1 (+ (+ 2 (exp (neg x))) (exp x))) (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal 1/4 binary64)))
49.9%
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
50.3%
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) #s(literal 1/4 binary64))
Compiler

Compiled 520 to 261 computations (49.8% saved)

regimes17.0ms (0.4%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) #s(literal 1/4 binary64))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))
#s(approx (/ 1 (+ (+ 2 (exp (neg x))) (exp x))) (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/11520 binary64) (*.f64 x x) #s(literal 1/96 binary64)) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (/ 1 (+ (+ 2 (exp (neg x))) (exp x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/11520 binary64) (*.f64 x x) #s(literal 1/96 binary64)) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ 2 (exp (neg x))) #s(literal 3 binary64)) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x)))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x)))
Calls

5 calls:

4.0ms
x
3.0ms
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
3.0ms
(cosh.f64 x)
3.0ms
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
3.0ms
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
100.0%1(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
100.0%1(*.f64 #s(literal 2 binary64) (cosh.f64 x))
100.0%1(cosh.f64 x)
Compiler

Compiled 21 to 19 computations (9.5% saved)

regimes16.0ms (0.4%)

Memory
11.8MiB live, 11.8MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) #s(literal 1/4 binary64))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))
#s(approx (/ 1 (+ (+ 2 (exp (neg x))) (exp x))) (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/11520 binary64) (*.f64 x x) #s(literal 1/96 binary64)) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (/ 1 (+ (+ 2 (exp (neg x))) (exp x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/11520 binary64) (*.f64 x x) #s(literal 1/96 binary64)) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ 2 (exp (neg x))) #s(literal 3 binary64)) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
Calls

5 calls:

4.0ms
x
3.0ms
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
3.0ms
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
3.0ms
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
3.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
100.0%1(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
100.0%1(*.f64 #s(literal 2 binary64) (cosh.f64 x))
100.0%1(cosh.f64 x)
Compiler

Compiled 21 to 19 computations (9.5% saved)

regimes15.0ms (0.3%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) #s(literal 1/4 binary64))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))
#s(approx (/ 1 (+ (+ 2 (exp (neg x))) (exp x))) (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/11520 binary64) (*.f64 x x) #s(literal 1/96 binary64)) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (/ 1 (+ (+ 2 (exp (neg x))) (exp x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/11520 binary64) (*.f64 x x) #s(literal 1/96 binary64)) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ 2 (exp (neg x))) #s(literal 3 binary64)) (exp.f64 x)))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ 2 (exp (neg x))) #s(literal 3 binary64)) (exp.f64 x)))
Calls

5 calls:

3.0ms
x
3.0ms
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
3.0ms
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
3.0ms
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
3.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
97.7%2x
92.9%1(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
92.9%1(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
92.9%1(*.f64 #s(literal 2 binary64) (cosh.f64 x))
92.9%1(cosh.f64 x)
Compiler

Compiled 21 to 19 computations (9.5% saved)

regimes11.0ms (0.3%)

Memory
8.8MiB live, 8.8MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) #s(literal 1/4 binary64))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))
#s(approx (/ 1 (+ (+ 2 (exp (neg x))) (exp x))) (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/11520 binary64) (*.f64 x x) #s(literal 1/96 binary64)) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (/ 1 (+ (+ 2 (exp (neg x))) (exp x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/11520 binary64) (*.f64 x x) #s(literal 1/96 binary64)) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
Calls

4 calls:

3.0ms
x
2.0ms
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
2.0ms
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
2.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
92.9%1(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
92.9%1(*.f64 #s(literal 2 binary64) (cosh.f64 x))
92.9%1(cosh.f64 x)
92.9%1x
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes13.0ms (0.3%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) #s(literal 1/4 binary64))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))
#s(approx (/ 1 (+ (+ 2 (exp (neg x))) (exp x))) (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/11520 binary64) (*.f64 x x) #s(literal 1/96 binary64)) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (/ 1 (+ (+ 2 (exp (neg x))) (exp x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/11520 binary64) (*.f64 x x) #s(literal 1/96 binary64)) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) #s(approx (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)))
Calls

5 calls:

3.0ms
x
2.0ms
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
2.0ms
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
2.0ms
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
2.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
88.8%1x
88.8%1(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
88.8%1(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
88.8%1(*.f64 #s(literal 2 binary64) (cosh.f64 x))
88.8%1(cosh.f64 x)
Compiler

Compiled 21 to 19 computations (9.5% saved)

regimes10.0ms (0.2%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) #s(literal 1/4 binary64))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))
#s(approx (/ 1 (+ (+ 2 (exp (neg x))) (exp x))) (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (fma.f64 #s(literal 1/96 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/11520 binary64) (*.f64 x x) #s(literal 1/96 binary64)) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
#s(approx (/ 1 (+ (+ 2 (exp (neg x))) (exp x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/11520 binary64) (*.f64 x x) #s(literal 1/96 binary64)) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)))
Calls

5 calls:

2.0ms
x
2.0ms
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
2.0ms
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
2.0ms
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
2.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
75.4%1x
75.4%1(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
75.4%1(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
75.4%1(*.f64 #s(literal 2 binary64) (cosh.f64 x))
75.4%1(cosh.f64 x)
Compiler

Compiled 21 to 19 computations (9.5% saved)

regimes8.0ms (0.2%)

Memory
-73.0MiB live, 6.8MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) #s(literal 1/4 binary64))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))
#s(approx (/ 1 (+ (+ 2 (exp (neg x))) (exp x))) (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64))))
Calls

5 calls:

3.0ms
x
1.0ms
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
1.0ms
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
1.0ms
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
1.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
75.4%1x
75.4%1(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
75.4%1(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
75.4%1(*.f64 #s(literal 2 binary64) (cosh.f64 x))
75.4%1(cosh.f64 x)
Compiler

Compiled 21 to 19 computations (9.5% saved)

regimes6.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated
Accuracy

Total -0.4b remaining (-1.4%)

Threshold costs -0.4b (-1.4%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) #s(literal 1/4 binary64))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal 1/4 binary64)))
#s(approx (/ 1 (+ (+ 2 (exp (neg x))) (exp x))) (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal 1/4 binary64)))
Outputs
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) #s(literal 1/4 binary64))
Calls

5 calls:

1.0ms
x
1.0ms
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
1.0ms
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
1.0ms
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
1.0ms
(cosh.f64 x)
Results
AccuracySegmentsBranch
50.3%1x
50.3%1(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
50.3%1(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
50.3%1(*.f64 #s(literal 2 binary64) (cosh.f64 x))
50.3%1(cosh.f64 x)
Compiler

Compiled 21 to 19 computations (9.5% saved)

bsearch15.0ms (0.3%)

Memory
4.4MiB live, 4.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
0.2111981702214649
1756.4807211893874
Samples
8.0ms128×0valid
Compiler

Compiled 307 to 235 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cosh: 2.0ms (39.2% of total)
ival-div: 1.0ms (19.6% of total)
ival-add: 1.0ms (19.6% of total)
ival-mult: 1.0ms (19.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify92.0ms (2.1%)

Memory
9.6MiB live, 9.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052138
175138
287138
3107138
4131138
5168138
6290138
73451138
87361138
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 7/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ 2 (exp (neg x))) #s(literal 3 binary64)) (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64))))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) #s(literal 1/4 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x)))
(pow.f64 (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
(pow.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64))
(if (<=.f64 x #s(literal 7/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ 2 (exp (neg x))) #s(literal 3 binary64)) (exp.f64 x))))
(if (<=.f64 x #s(literal 7/2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(approx (+ 2 (exp (neg x))) #s(literal 3 binary64)) (exp.f64 x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)))
(pow.f64 (fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 (+.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64))))
(pow.f64 #s(approx (+ (* 2 (cosh x)) 2) (fma.f64 x x #s(literal 4 binary64))) #s(literal -1 binary64))
#s(approx (/ 1 (+ (* 2 (cosh x)) 2)) #s(literal 1/4 binary64))

soundness1.1s (24.9%)

Memory
14.5MiB live, 14.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033191
053191
1225187
21546187
08154179
059188
1149188
2385180
3899180
41544180
51762180
61954180
72614180
83285180
94511180
106156180
117137180
127285180
137399180
147423180
08195156
0122426
1318424
2744416
31977416
43248416
56247416
08045366
0720
01120
14320
222420
3203220
0860718
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 310 to 161 computations (48.1% saved)

preprocess43.0ms (1%)

Memory
26.3MiB live, 26.3MiB allocated
Compiler

Compiled 292 to 124 computations (57.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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