Hyperbolic secant

Time bar (total: 8.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 10 to 9 computations (10% saved)

sample809.0ms (9.6%)

Memory
1.2MiB live, 1 091.1MiB allocated
Samples
507.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 323.0ms
ival-exp: 161.0ms (49.8% of total)
ival-div: 69.0ms (21.3% of total)
ival-add: 47.0ms (14.5% of total)
ival-neg: 33.0ms (10.2% of total)
ival-true: 5.0ms (1.5% of total)
exact: 5.0ms (1.5% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain325.0ms (3.9%)

Memory
-138.3MiB live, 156.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
00-0-#s(literal 2 binary64)
00-0-(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
00-0-(exp.f64 x)
01(459.360076504813)0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f64(exp.f64 (neg.f64 x))sensitivity10
Confusion
Predicted +Predicted -
+00
-1255
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-10255
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
275.0ms512×0valid
Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-exp: 7.0ms (42.3% of total)
ival-div: 4.0ms (24.2% of total)
ival-add: 2.0ms (12.1% of total)
ival-neg: 2.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess27.0ms (0.3%)

Memory
-14.1MiB live, 56.6MiB allocated
Algorithm
1×egg-herbie
Rules
48×sub-neg
28×distribute-lft-neg-in
28×cancel-sign-sub-inv
22×associate-+l-
18×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
12816
25716
310016
413716
518116
620916
721716
822316
923316
1024116
078
0128
1198
2258
3298
4338
5398
6468
7508
8528
9538
0538
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Symmetry

(abs x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify6.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (neg.f64 x))
cost-diff0
(exp.f64 x)
cost-diff0
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Rules
16×lower-*.f64
16×lower-*.f32
12×lower-fma.f64
12×lower-fma.f32
12×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01223
11923
22523
32923
43323
53923
64623
75023
85223
95323
05323
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
#s(literal 2 binary64)
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize31.0ms (0.4%)

Memory
-5.5MiB live, 38.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 x)
accuracy0
(exp.f64 (neg.f64 x))
accuracy0
(exp.f64 x)
accuracy0.00390625
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Samples
15.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-exp: 5.0ms (55.2% of total)
ival-div: 2.0ms (22.1% of total)
ival-add: 1.0ms (11% of total)
ival-neg: 1.0ms (11% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))>
#<alt (exp.f64 x)>
#<alt (exp.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

15 calls:

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

simplify250.0ms (3%)

Memory
5.0MiB live, 359.9MiB allocated
Algorithm
1×egg-herbie
Rules
15 580×lower-fma.f64
15 580×lower-fma.f32
3 668×lower-*.f64
3 668×lower-*.f32
2 386×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066307
1162306
2359302
3921302
41406302
52068302
63397302
74663302
85970302
97535302
08007280
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 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)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
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) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
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 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

rewrite372.0ms (4.4%)

Memory
-37.3MiB live, 366.5MiB allocated
Rules
5 044×lower-/.f32
5 042×lower-/.f64
4 012×lower-*.f64
4 012×lower-*.f32
2 444×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0721
01217
14215
225715
3237015
0906415
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 428
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x))))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 x x))))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (exp.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))
(+.f64 (*.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))
(+.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(-.f64 (/.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 1/2 binary64)) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))
(fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))))
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (exp.f64 x)))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) x)))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x))) (exp.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) x)) (exp.f64 x))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 x #s(literal -3/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (exp.f64 (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -3 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1 binary64)))
(*.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(log.f64 (exp.f64 (neg.f64 x)))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (log.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (log.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))))) (log.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (neg.f64 (exp.f64 x)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(neg.f64 (log.f64 (neg.f64 (neg.f64 (exp.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (neg.f64 (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 x x)))) x)
(pow.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 x (neg.f64 (*.f64 x x))) #s(literal -1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))

eval78.0ms (0.9%)

Memory
25.1MiB live, 102.7MiB allocated
Compiler

Compiled 9 001 to 1 537 computations (82.9% saved)

prune64.0ms (0.8%)

Memory
9.6MiB live, 162.8MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4817488
Fresh000
Picked101
Done000
Total4827489
Accuracy
100.0%
Counts
489 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
86.6%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
▶79.8%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
▶100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶54.7%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
▶54.7%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
▶54.8%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 144 to 84 computations (41.7% saved)

simplify18.0ms (0.2%)

Memory
-10.3MiB live, 25.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
cost-diff0
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
cost-diff0
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
cost-diff0
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
cost-diff0
(fma.f64 x x #s(literal 2 binary64))
cost-diff0
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
cost-diff0
(cosh.f64 x)
cost-diff0
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Rules
210×lower-fma.f32
202×lower-fma.f64
120×lower-*.f32
116×lower-*.f64
116×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023128
035128
161128
2100116
3140116
4151116
5157116
6206116
7265116
8274116
9280116
10284116
11293116
12319116
13320116
0320116
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
x
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
x
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
x
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(*.f64 x x)
#s(literal 5/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
x
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
x
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64))
(*.f64 x x)
#s(literal 5/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)

localize78.0ms (0.9%)

Memory
14.9MiB live, 164.7MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
accuracy0.0390625
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
accuracy0.0625
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
accuracy29.02286580174882
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
accuracy0
(fma.f64 x x #s(literal 2 binary64))
accuracy0.00390625
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
accuracy12.926230393946259
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
accuracy0
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy0
(*.f64 x x)
accuracy29.02197134236873
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy28.947627880975794
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
accuracy0
(cosh.f64 x)
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Samples
57.0ms256×0valid
Compiler

Compiled 105 to 23 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-add: 8.0ms (24.4% of total)
ival-mult: 7.0ms (21.3% of total)
ival-div: 4.0ms (12.2% of total)
ival-exp: 4.0ms (12.2% of total)
ival-cosh: 4.0ms (12.2% of total)
const: 4.0ms (12.2% of total)
ival-neg: 1.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (cosh.f64 x))>
#<alt (cosh.f64 x)>
#<alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))>
#<alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))>
#<alt (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))>
#<alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))>
#<alt (fma.f64 x x #s(literal 2 binary64))>
#<alt #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))>
#<alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (* 5/24 (pow x 4))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 5/24 (pow x 4))>
#<alt (* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* x (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* x (- (* 5/24 (pow x 2)) 1/2))>
#<alt (* 5/24 (pow x 3))>
#<alt (* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 5/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))>
#<alt -1/2>
#<alt (- (* 5/24 (pow x 2)) 1/2)>
#<alt (- (* 5/24 (pow x 2)) 1/2)>
#<alt (- (* 5/24 (pow x 2)) 1/2)>
#<alt (* 5/24 (pow x 2))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 5/24 (pow x 2))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))>
Calls

39 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ 1 (cosh x))
1.0ms
x
@-inf
(/ 1 (cosh x))
0.0ms
x
@inf
(+ (* -1/2 (* x x)) 1)
0.0ms
x
@inf
(+ (* x (* x (+ (* (* x x) 5/24) -1/2))) 1)
0.0ms
x
@inf
(* x (+ (* (* x x) 5/24) -1/2))

simplify252.0ms (3%)

Memory
-22.7MiB live, 247.0MiB allocated
Algorithm
1×egg-herbie
Rules
11 892×lower-fma.f64
11 892×lower-fma.f32
2 838×lower-*.f64
2 838×lower-*.f32
1 656×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0871158
12151158
25511154
315511154
428451154
556511154
677161154
083701061
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 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)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
2
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(* 5/24 (pow x 4))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 5/24 (pow x 4))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* -1/2 x)
(* x (- (* 5/24 (pow x 2)) 1/2))
(* x (- (* 5/24 (pow x 2)) 1/2))
(* x (- (* 5/24 (pow x 2)) 1/2))
(* 5/24 (pow x 3))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* 5/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
-1/2
(- (* 5/24 (pow x 2)) 1/2)
(- (* 5/24 (pow x 2)) 1/2)
(- (* 5/24 (pow x 2)) 1/2)
(* 5/24 (pow x 2))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* 5/24 (pow x 2))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
Outputs
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) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
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) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#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) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#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 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
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 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(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) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#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) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* 5/24 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* 5/24 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 5/24 binary64))))
(* (pow x 4) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (pow x 4) (- (+ 5/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 5/24 (pow x 2)) 1/2))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(* x (- (* 5/24 (pow x 2)) 1/2))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(* x (- (* 5/24 (pow x 2)) 1/2))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(* 5/24 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(* (pow x 3) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(* 5/24 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 5/24 binary64)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 5/24)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* 5/24 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(- (* 5/24 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(- (* 5/24 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(* 5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5/24 binary64))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(* 5/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5/24 binary64))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 5/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))

rewrite339.0ms (4%)

Memory
10.4MiB live, 395.5MiB allocated
Rules
8 354×lower-fma.f32
8 346×lower-fma.f64
5 718×lower-*.f32
5 714×lower-*.f64
4 012×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023113
03597
114597
294597
0851997
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 527
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(cosh.f64 x)
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (exp.f64 (+.f64 x x))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x))))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (exp.f64 (+.f64 x x))))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))) (exp.f64 x)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))) (*.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))))
(+.f64 (*.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))))
(+.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x))))) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x))))))
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x))))))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (*.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))))
(fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (exp.f64 (+.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (expm1.f64 (-.f64 (neg.f64 x) x)) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (exp.f64 (+.f64 x x))))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))) (exp.f64 x) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))) (neg.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (-.f64 (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 2 binary64)))) (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))) (*.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (*.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 4 binary64) (sinh.f64 x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)))))
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(*.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -5/24 binary64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/48 binary64))))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 125/13824 binary64)) #s(literal -1/8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64)))
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -25/576 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -5/24 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64))) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 125/13824 binary64)) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 15625/191102976 binary64) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/48 binary64))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/48 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/48 binary64))))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 625/331776 binary64) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/48 binary64))) (-.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/48 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 125/13824 binary64)) #s(literal -1/8 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -5/48 binary64)))) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -5/48 binary64))))) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -5/48 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125/13824 binary64)) #s(literal 1/8 binary64))) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 25/576 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -5/48 binary64))))

eval104.0ms (1.2%)

Memory
-37.9MiB live, 135.4MiB allocated
Compiler

Compiled 17 983 to 1 570 computations (91.3% saved)

prune71.0ms (0.8%)

Memory
12.0MiB live, 135.2MiB allocated
Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New6984702
Fresh022
Picked055
Done000
Total69811709
Accuracy
100.0%
Counts
709 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶86.6%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
▶89.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
▶86.6%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
✓79.8%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
56.8%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
▶28.2%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
✓100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶89.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓54.7%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
✓54.7%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓54.8%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 265 to 143 computations (46% saved)

simplify226.0ms (2.7%)

Memory
-5.4MiB live, 149.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
cost-diff0
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
cost-diff0
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
cost-diff0
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (* x x) 2) (*.f64 x x))
cost-diff0
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
Rules
9 158×lower-fma.f32
9 138×lower-fma.f64
2 570×lower-*.f32
2 558×lower-*.f64
2 422×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042371
073371
1154360
2334360
3724360
41438360
51679360
61934360
72405360
82742360
93120360
103533360
114193360
126613360
137674360
147884360
157985360
08004346
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
(*.f64 x x)
x
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
x
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
x
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
(*.f64 x x)
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
(*.f64 x x)
x
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))
x
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
x
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
(*.f64 x x)
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)

localize174.0ms (2.1%)

Memory
36.2MiB live, 225.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0625
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
accuracy0.24609375
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
accuracy0.26171875
(*.f64 x #s(literal 1/360 binary64))
accuracy6.555474622947387
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
accuracy0.03515625
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
accuracy0.05078125
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
accuracy0.3359375
(*.f64 x #s(literal 1/12 binary64))
accuracy8.577110174858541
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
accuracy0.03515625
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
accuracy0.0546875
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
accuracy0.21875
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
accuracy8.577110174858541
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
accuracy0
(*.f64 x x)
accuracy0.00390625
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
accuracy12.926230393946259
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
accuracy33.702834037394034
#s(approx (+ (* x x) 2) (*.f64 x x))
accuracy0.06640625
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
accuracy0.08984375
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
accuracy0.24609375
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
accuracy6.556335443947693
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
Samples
124.0ms256×0valid
Compiler

Compiled 253 to 44 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-exp: 41.0ms (41.4% of total)
ival-mult: 22.0ms (22.2% of total)
ival-add: 13.0ms (13.1% of total)
const: 11.0ms (11.1% of total)
ival-cosh: 5.0ms (5% of total)
ival-div: 3.0ms (3% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-13.5MiB live, 23.0MiB allocated
Counts
27 → 324
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))>
#<alt #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))>
#<alt #s(approx (+ (* x x) 2) (*.f64 x x))>
#<alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))>
#<alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))>
#<alt (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))>
#<alt (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)>
#<alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))>
#<alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))>
#<alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))>
#<alt (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))>
#<alt (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)>
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))>
#<alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))>
#<alt (*.f64 (*.f64 x x) #s(literal 1/12 binary64))>
#<alt (*.f64 x #s(literal 1/12 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 x #s(literal 1/360 binary64))>
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* 1/720 (pow x 3))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 3))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt 1/24>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
Calls

81 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1)
0.0ms
x
@-inf
(+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2)
0.0ms
x
@inf
(+ (* x (* (* x x) 1/12)) x)
0.0ms
x
@0
(* x (+ (* (* x x) 1/720) 1/24))
0.0ms
x
@-inf
(* x 1/360)

simplify404.0ms (4.8%)

Memory
17.8MiB live, 410.1MiB allocated
Algorithm
1×egg-herbie
Rules
15 152×lower-fma.f64
15 152×lower-fma.f32
5 166×lower-*.f64
5 166×lower-*.f32
2 756×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332534
14172482
29962440
337812438
463262438
579442438
083902257
Stop Event
1×iter limit
1×node limit
Counts
324 → 322
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
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)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 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)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
2
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(+ 2 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 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)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 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)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 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)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
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)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
Outputs
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) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/720 (pow x 6))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
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(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2
#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 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/360 (pow x 6))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64))
(* 1/360 (pow x 6))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (* 2 (/ 1 (pow x 6)))))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x)
(* 1/360 (pow x 5))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* 1/360 (pow x 5))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/360 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/360 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x))))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* 1/720 (pow x 3))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* 1/720 (pow x 3))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/720 binary64)))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/720 binary64)))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/720 (pow x 4))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))

rewrite582.0ms (6.9%)

Memory
0.5MiB live, 519.9MiB allocated
Rules
6 444×lower-fma.f32
6 424×lower-fma.f64
3 854×lower-*.f32
3 842×lower-*.f64
3 134×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042341
073325
1329314
22413314
08159300
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 539
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
#s(approx (+ (* x x) 2) (*.f64 x x))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/12 binary64))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/360 binary64))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
(pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) x #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) x) x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))))
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/46656000 binary64)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64)) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) #s(literal 1/144 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64)))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (fma.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))

eval277.0ms (3.3%)

Memory
5.7MiB live, 190.4MiB allocated
Compiler

Compiled 27 790 to 2 181 computations (92.2% saved)

prune109.0ms (1.3%)

Memory
-14.1MiB live, 249.0MiB allocated
Pruning

29 alts after pruning (21 fresh and 8 done)

PrunedKeptTotal
New95120971
Fresh011
Picked235
Done055
Total95329982
Accuracy
100.0%
Counts
982 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.6%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
86.6%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
86.0%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/12)) 1) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) #s(literal 2 binary64))))
89.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))))
▶86.6%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
✓89.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
86.6%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/360)) 1/12) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
58.6%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) #s(literal 2 binary64))))
✓79.8%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
56.8%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
34.9%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
▶34.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
36.4%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))))
37.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))))
37.6%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
✓28.2%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
✓100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
▶89.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓89.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
▶64.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
59.8%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
59.8%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
89.1%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
86.6%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
▶37.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
37.6%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64))))))))
✓54.7%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
✓54.7%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓54.8%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 1 033 to 515 computations (50.1% saved)

simplify180.0ms (2.1%)

Memory
-8.3MiB live, 303.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
cost-diff128
(-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
cost-diff128
(-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64)))
cost-diff0
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
cost-diff0
#s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))
cost-diff0
#s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
cost-diff0
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x)
cost-diff0
(fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
cost-diff0
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))
cost-diff0
#s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
cost-diff0
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
cost-diff320
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64)))
Rules
7 126×lower-fma.f32
7 110×lower-fma.f64
4 090×lower-*.f32
4 064×lower-*.f64
1 714×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063646
0102579
1220527
2453527
31045527
42110527
53850527
67223527
08030513
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
#s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))
x
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))
x
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x)
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
#s(literal 1 binary64)
#s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))
#s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
x
(*.f64 x #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))
(*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64)))
#s(literal 1/576 binary64)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
#s(literal 1/518400 binary64)
(-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
#s(literal 1/24 binary64)
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
#s(literal 1/2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))
#s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
#s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
x
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))
x
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x)
(fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))
#s(literal 1 binary64)
#s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))
#s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))
#s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
x
(*.f64 x #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))) #s(literal 1/576 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))) #s(literal 1/576 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))) #s(literal 1/576 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))) #s(literal 1/576 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))) #s(literal 1/576 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64)))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))) #s(literal 1/576 binary64))
#s(literal 1/576 binary64)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
#s(literal 1/518400 binary64)
(-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
#s(literal 1/2 binary64)

localize249.0ms (3%)

Memory
21.0MiB live, 379.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1484375
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
accuracy0.24609375
(*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
accuracy6.556335443947693
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy17.009721914120558
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
accuracy0.109375
(*.f64 x (*.f64 x x))
accuracy0.26171875
(*.f64 x #s(literal 1/720 binary64))
accuracy6.556335443947693
#s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))
accuracy33.66841967815567
#s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))
accuracy0.03515625
(fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))
accuracy0.046875
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x)
accuracy0.109375
(*.f64 x (*.f64 x x))
accuracy8.577110174858541
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
accuracy0.11328125
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
accuracy0.3359375
(*.f64 x #s(literal 1/12 binary64))
accuracy8.577110174858541
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
accuracy33.91804407382113
#s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
accuracy0.06640625
(fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
accuracy0.1484375
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
accuracy0.3359375
(*.f64 x #s(literal 1/24 binary64))
accuracy6.556335443947693
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
Samples
161.0ms256×0valid
Compiler

Compiled 397 to 59 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 53.0ms (53.8% of total)
ival-add: 15.0ms (15.2% of total)
const: 14.0ms (14.2% of total)
ival-div: 5.0ms (5.1% of total)
ival-exp: 4.0ms (4.1% of total)
ival-cosh: 3.0ms (3% of total)
ival-sub: 2.0ms (2% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
12.8MiB live, 47.8MiB allocated
Counts
29 → 348
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))>
#<alt #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))))>
#<alt #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))>
#<alt (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))>
#<alt (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))>
#<alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))>
#<alt (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))>
#<alt (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))>
#<alt #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))>
#<alt #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))>
#<alt (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))>
#<alt (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64)))>
#<alt (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))>
#<alt (*.f64 x #s(literal 1/24 binary64))>
#<alt (*.f64 (*.f64 x x) #s(literal 1/720 binary64))>
#<alt (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))>
#<alt (*.f64 x #s(literal 1/12 binary64))>
#<alt (*.f64 x (*.f64 x #s(literal 1/12 binary64)))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (*.f64 x #s(literal 1/720 binary64))>
#<alt (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))>
#<alt (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))>
Outputs
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* 1/720 (pow x 3))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 3))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt 1/576>
#<alt (+ 1/576 (* -1/518400 (pow x 4)))>
#<alt (+ 1/576 (* -1/518400 (pow x 4)))>
#<alt (+ 1/576 (* -1/518400 (pow x 4)))>
#<alt (* -1/518400 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))>
#<alt (* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))>
#<alt (* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))>
#<alt (* -1/518400 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))>
#<alt (* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))>
#<alt (* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))>
#<alt 1/24>
#<alt (+ 1/24 (* -1/720 (pow x 2)))>
#<alt (+ 1/24 (* -1/720 (pow x 2)))>
#<alt (+ 1/24 (* -1/720 (pow x 2)))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* 1/720 (pow x 4))>
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt 1/24>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* 1/720 (pow x 3))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 3))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
Calls

87 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(- 1/576 (* (* x (* x (* x x))) 1/518400))
2.0ms
x
@inf
(* x (* x x))
0.0ms
x
@inf
(* x (/ (- 1/576 (* (* x (* x (* x x))) 1/518400)) (- 1/24 (* (* x x) 1/720))))
0.0ms
x
@0
(* x (* x (* x (* x 1/12))))
0.0ms
x
@0
(* x (/ (- 1/576 (* (* x (* x (* x x))) 1/518400)) (- 1/24 (* (* x x) 1/720))))

simplify255.0ms (3%)

Memory
-6.8MiB live, 346.4MiB allocated
Algorithm
1×egg-herbie
Rules
9 154×lower-fma.f64
9 154×lower-fma.f32
3 474×lower-*.f64
3 474×lower-*.f32
2 232×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01172598
13242552
27362532
318032524
440972524
555162524
669762524
080492328
Stop Event
1×iter limit
1×node limit
Counts
348 → 347
Calls
Call 1
Inputs
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
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)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 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)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
2
(+ 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)))))))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (neg x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
(+ (exp x) (exp (* -1 x)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
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)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/720 (pow x 2))))
(* (pow x 4) (+ 1/24 (* 1/720 (pow x 2))))
(* (pow x 4) (+ 1/24 (* 1/720 (pow x 2))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
1/576
(+ 1/576 (* -1/518400 (pow x 4)))
(+ 1/576 (* -1/518400 (pow x 4)))
(+ 1/576 (* -1/518400 (pow x 4)))
(* -1/518400 (pow x 4))
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(* -1/518400 (pow x 4))
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
1/24
(+ 1/24 (* -1/720 (pow x 2)))
(+ 1/24 (* -1/720 (pow x 2)))
(+ 1/24 (* -1/720 (pow x 2)))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 4))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
Outputs
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/720 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/720 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (/ 1 (exp x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(* 1/720 (pow x 6))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64))
(* 1/720 (pow x 6))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
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 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
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 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (neg x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/ 2 (+ (exp x) (exp (* -1 x))))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
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 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
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 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* 1/12 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
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(*.f64 x #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/720 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(* 1/720 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))

rewrite311.0ms (3.7%)

Memory
-11.6MiB live, 510.9MiB allocated
Rules
5 726×lower-fma.f32
5 714×lower-fma.f64
4 766×lower-*.f32
4 740×lower-*.f64
4 538×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063508
0102416
1450371
23020371
09347369
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
29 → 758
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))))
#s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
#s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))
#s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
(-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64)))
(-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 x #s(literal 1/24 binary64))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/12 binary64))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(*.f64 x (*.f64 x x))
(*.f64 x #s(literal 1/720 binary64))
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
Outputs
(+.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64))) (*.f64 x #s(literal 1/24 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64))))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (*.f64 x #s(literal 1/24 binary64)))
(fma.f64 x #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/24 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) x (*.f64 x #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1/24 binary64) x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64))))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64) (*.f64 x #s(literal 1/24 binary64)))
(fma.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/373248000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/373248000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/373248000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) (fma.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/373248000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/373248000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (neg.f64 (fma.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/373248000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))) (neg.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))) (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(/.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))
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(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) #s(literal -1/576 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))) x)) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) #s(literal -1/576 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/373248000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))) #s(literal -1 binary64))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) x)
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) x))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/373248000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)))))
(*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))
(*.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))) (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/373248000 binary64)))) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/576 binary64)))
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/373248000 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/576 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(*.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)))))
(*.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (+.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal -1/139314069504000000 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) #s(literal 1/331776 binary64))))
(*.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (-.f64 #s(literal 1/331776 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/268738560000 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (+.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal -1/139314069504000000 binary64))))) (/.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) #s(literal 1/331776 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (-.f64 #s(literal 1/331776 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/268738560000 binary64))))) (/.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64))))
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/373248000 binary64)))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/576 binary64)))))
(*.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(*.f64 (/.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) #s(literal -1/576 binary64)))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) x) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)))) (/.f64 x (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) #s(literal -1/576 binary64)))) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))) #s(literal -1 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))

eval175.0ms (2.1%)

Memory
15.8MiB live, 332.8MiB allocated
Compiler

Compiled 38 235 to 3 237 computations (91.5% saved)

prune157.0ms (1.9%)

Memory
0.5MiB live, 238.8MiB allocated
Pruning

35 alts after pruning (24 fresh and 11 done)

PrunedKeptTotal
New1 143181 161
Fresh10616
Picked235
Done088
Total1 155351 190
Accuracy
100.0%
Counts
1 190 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.6%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
✓89.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
86.6%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/360)) 1/12) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
86.6%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) #s(literal 2 binary64))))
✓79.8%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
34.9%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
34.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
✓34.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
37.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))))
37.6%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
✓28.2%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
✓100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
89.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/720 binary64)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
✓89.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
89.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓89.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
91.9%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) #s(approx (- 1/24 (* (* x x) 1/720)) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
64.5%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(approx (- 1/576 (* (* x (* x (* x x))) 1/518400)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
80.0%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(approx (- 1/576 (* (* x (* x (* x x))) 1/518400)) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
89.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
89.1%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (+ (* (* (* x x) 1/720) x) (* x 1/24))) 1/2) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))))
89.1%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
37.6%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (+ (* (* (* x x) 1/720) x) (* x 1/24))) 1/2)) 1) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))
37.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64))))))
9.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))))
10.5%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))))
37.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))))
✓37.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
37.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x x))) x))))
37.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x)) x))))
37.6%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64))))))))
34.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (+ (* x (* x 1/720)) 1/24) (* x (* x (* x x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
✓54.7%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
✓54.7%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓54.8%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 1 625 to 576 computations (64.6% saved)

regimes42.0ms (0.5%)

Memory
-8.9MiB live, 67.9MiB allocated
Counts
50 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (+ (* x (* x 1/720)) 1/24) (* x (* x (* x x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/12)) 1) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/360)) 1/12) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (+ (* (* (* x x) 1/720) x) (* x 1/24))) 1/2)) 1) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x x))) x))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (+ (* (* (* x x) 1/720) x) (* x 1/24))) 1/2) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/720 binary64)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(approx (- 1/576 (* (* x (* x (* x x))) 1/518400)) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) #s(approx (- 1/24 (* (* x x) 1/720)) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(approx (- 1/576 (* (* x (* x (* x x))) 1/518400)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Calls

3 calls:

15.0ms
x
13.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
11.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
100.0%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes39.0ms (0.5%)

Memory
26.4MiB live, 63.3MiB allocated
Counts
48 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (+ (* x (* x 1/720)) 1/24) (* x (* x (* x x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/12)) 1) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/360)) 1/12) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (+ (* (* (* x x) 1/720) x) (* x 1/24))) 1/2)) 1) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x x))) x))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (+ (* (* (* x x) 1/720) x) (* x 1/24))) 1/2) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/720 binary64)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(approx (- 1/576 (* (* x (* x (* x x))) 1/518400)) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) #s(approx (- 1/24 (* (* x x) 1/720)) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(approx (- 1/576 (* (* x (* x (* x x))) 1/518400)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64)) (fma.f64 x x #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) #s(approx (- 1/24 (* (* x x) 1/720)) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
Calls

3 calls:

13.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
13.0ms
x
10.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
91.9%1x
91.9%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
91.9%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes37.0ms (0.4%)

Memory
-34.7MiB live, 49.9MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (+ (* x (* x 1/720)) 1/24) (* x (* x (* x x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/12)) 1) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/360)) 1/12) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (+ (* (* (* x x) 1/720) x) (* x 1/24))) 1/2)) 1) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x x))) x))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (+ (* (* (* x x) 1/720) x) (* x 1/24))) 1/2) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/720 binary64)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(approx (- 1/576 (* (* x (* x (* x x))) 1/518400)) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/720 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
Calls

3 calls:

14.0ms
x
12.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
9.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
89.7%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
89.7%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
89.7%1x
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes23.0ms (0.3%)

Memory
23.7MiB live, 23.7MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (+ (* x (* x 1/720)) 1/24) (* x (* x (* x x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/12)) 1) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/360)) 1/12) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (+ (* (* (* x x) 1/720) x) (* x 1/24))) 1/2)) 1) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x x))) x))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (+ (* (* (* x x) 1/720) x) (* x 1/24))) 1/2) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
Calls

3 calls:

8.0ms
x
6.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
89.1%1x
89.1%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
89.1%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes24.0ms (0.3%)

Memory
-3.4MiB live, 35.0MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (+ (* x (* x 1/720)) 1/24) (* x (* x (* x x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/12)) 1) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/360)) 1/12) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (+ (* (* (* x x) 1/720) x) (* x 1/24))) 1/2)) 1) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x x))) x))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (+ (* (* (* x x) 1/720) x) (* x 1/24))) 1/2) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (+ (* (* (* x x) 1/720) x) (* x 1/24))) 1/2) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))))
Calls

3 calls:

8.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
8.0ms
x
6.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
89.1%1x
89.1%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
89.1%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes22.0ms (0.3%)

Memory
-10.3MiB live, 28.1MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (+ (* x (* x 1/720)) 1/24) (* x (* x (* x x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/12)) 1) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/360)) 1/12) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (+ (* (* (* x x) 1/720) x) (* x 1/24))) 1/2)) 1) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x x))) x))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x)) x))))
Calls

3 calls:

9.0ms
x
6.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
89.6%2x
89.6%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
89.6%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes18.0ms (0.2%)

Memory
24.8MiB live, 24.8MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (+ (* x (* x 1/720)) 1/24) (* x (* x (* x x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/12)) 1) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/360)) 1/12) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (+ (* (* (* x x) 1/720) x) (* x 1/24))) 1/2)) 1) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64))))))))
Calls

3 calls:

6.0ms
x
5.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
89.6%2x
89.6%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
89.6%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes17.0ms (0.2%)

Memory
-18.1MiB live, 20.0MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (+ (* x (* x 1/720)) 1/24) (* x (* x (* x x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/12)) 1) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/360)) 1/12) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
Calls

3 calls:

6.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
6.0ms
x
5.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
86.6%1x
86.6%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
86.6%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes13.0ms (0.2%)

Memory
22.7MiB live, 22.7MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (+ (* x (* x 1/720)) 1/24) (* x (* x (* x x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/12)) 1) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/360)) 1/12) #s(literal 1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
Calls

3 calls:

5.0ms
x
4.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
86.6%1x
86.6%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
86.6%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes13.0ms (0.2%)

Memory
-44.6MiB live, 8.6MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (+ (* x (* x 1/720)) 1/24) (* x (* x (* x x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/12)) 1) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) #s(literal 2 binary64))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/12)) 1) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) #s(literal 2 binary64))))
Calls

3 calls:

6.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms
x
3.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
86.0%1x
86.0%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
86.0%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (+ (* x (* x 1/720)) 1/24) (* x (* x (* x x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
Calls

3 calls:

3.0ms
x
3.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
3.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
86.5%2x
86.5%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
86.5%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.1%)

Memory
21.5MiB live, 21.6MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (+ (* x (* x 1/720)) 1/24) (* x (* x (* x x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (+ (* x (* x 1/720)) 1/24) (* x (* x (* x x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
Calls

3 calls:

3.0ms
x
2.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
86.5%2x
86.5%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
86.5%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.1%)

Memory
-30.4MiB live, 8.1MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
Calls

3 calls:

3.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms
x
2.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
79.8%1x
79.8%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
79.8%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
Outputs
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
Calls

3 calls:

2.0ms
x
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
79.8%2x
79.8%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
79.8%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated
Accuracy

Total -0.3b remaining (-1.2%)

Threshold costs -0.3b (-1.2%)

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

3 calls:

1.0ms
x
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
54.8%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
54.8%1x
54.8%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.137722228188094
3.1444625932393896e+199
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.137722228188094
3.1444625932393896e+199
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
6.360387318011065e-200
0.9355752462260611
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
6.360387318011065e-200
0.9355752462260611
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.137722228188094
3.1444625932393896e+199
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify16.0ms (0.2%)

Memory
-19.3MiB live, 19.7MiB allocated
Algorithm
1×egg-herbie
Rules
52×*-commutative_binary64
16×+-commutative_binary64
14×sub-neg_binary64
14×distribute-lft-neg-in_binary64
14×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139538
1171538
2188538
3202538
4212538
5216538
6217538
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) #s(approx (- 1/24 (* (* x x) 1/720)) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (+ (* (* (* x x) 1/720) x) (* x 1/24))) 1/2) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x)) x)))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/12)) 1) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) #s(literal 2 binary64))))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x))))) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (+ (* x (* x 1/720)) 1/24) (* x (* x (* x x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64))) #s(approx (- 1/24 (* (* x x) 1/720)) #s(literal 1/24 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (+ (* (* (* x x) 1/720) x) (* x 1/24))) 1/2) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* x (+ (* (* (* x x) 1/720) x) (* x 1/24))) 1/2) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/720 binary64))) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x x)) x)))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)))))))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x 1/12)) 1) (*.f64 x (*.f64 x #s(literal 1/12 binary64)))) #s(literal 2 binary64))))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* (* x x) (+ (* x (* x 1/12)) 1)) 2) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x))))) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (+ (* x (* x 1/720)) 1/24) (* x (* x (* x x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) #s(approx (* (+ (* x (* x 1/720)) 1/24) (* x (* x (* x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/24 binary64)))))) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))

soundness2.1s (24.8%)

Memory
14.9MiB live, 1 259.2MiB allocated
Rules
15 580×lower-fma.f64
15 580×lower-fma.f32
15 152×lower-fma.f64
15 152×lower-fma.f32
11 892×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0871158
12151158
25511154
315511154
428451154
556511154
677161154
083701061
0721
01217
14215
225715
3237015
0906415
066307
1162306
2359302
3921302
41406302
52068302
63397302
74663302
85970302
97535302
08007280
063508
0102416
1450371
23020371
09347369
01172598
13242552
27362532
318032524
440972524
555162524
669762524
080492328
01332534
14172482
29962440
337812438
463262438
579442438
083902257
042341
073325
1329314
22413314
08159300
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 847 to 422 computations (50.2% saved)

preprocess74.0ms (0.9%)

Memory
19.3MiB live, 138.4MiB allocated
Remove

(abs x)

Compiler

Compiled 672 to 192 computations (71.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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