Hyperbolic secant

Time bar (total: 8.4s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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)

sample616.0ms (7.3%)

Memory
34.1MiB live, 1 102.4MiB allocated
Samples
410.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 263.0ms
ival-exp: 116.0ms (44.1% of total)
ival-div: 55.0ms (20.9% of total)
ival-add: 41.0ms (15.6% of total)
ival-neg: 38.0ms (14.4% of total)
ival-true: 5.0ms (1.9% of total)
exact: 5.0ms (1.9% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

preprocess22.0ms (0.3%)

Memory
-6.3MiB live, 32.2MiB 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)

explain81.0ms (1%)

Memory
-1.4MiB live, 158.0MiB 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(274.3569119056413)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))sensitivity11
Confusion
Predicted +Predicted -
+00
-1255
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-11254
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
29.0ms512×0valid
Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-exp: 9.0ms (52% of total)
ival-div: 3.0ms (17.3% of total)
ival-add: 2.0ms (11.5% of total)
ival-neg: 2.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB 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
10.1MiB live, 10.1MiB 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)

localize24.0ms (0.3%)

Memory
2.8MiB live, 41.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(exp.f64 (neg.f64 x))
✓accuracy100.0%
(exp.f64 x)
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Samples
13.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-exp: 4.0ms (51.8% of total)
ival-div: 2.0ms (25.9% of total)
ival-add: 1.0ms (13% of total)
ival-neg: 1.0ms (13% 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
5.7MiB live, 5.7MiB 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)

simplify349.0ms (4.1%)

Memory
-29.7MiB live, 527.5MiB 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)

rewrite262.0ms (3.1%)

Memory
10.0MiB live, 398.8MiB allocated
Algorithm
1×batch-egg-rewrite
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))

eval53.0ms (0.6%)

Memory
4.1MiB live, 79.0MiB allocated
Compiler

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

prune56.0ms (0.7%)

Memory
21.6MiB live, 98.0MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4808488
Fresh000
Picked101
Done000
Total4818489
Accuracy
100.0%
Counts
489 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶45.3%
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
92.0%
(/.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))))
▶88.2%
(/.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))))
▶73.5%
(/.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))
45.2%
#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)))
45.2%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
▶45.8%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 168 to 102 computations (39.3% saved)

simplify243.0ms (2.9%)

Memory
-0.6MiB live, 247.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))
✓cost-diff0
(sinh.f64 x)
✓cost-diff0
(*.f64 #s(literal 4 binary64) (sinh.f64 x))
✓cost-diff6912
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
✓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
(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
#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
4 902×lower-fma.f32
4 896×lower-fma.f64
3 864×lower-*.f32
3 856×lower-*.f64
2 340×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028150
045148
184144
2170140
3336140
4732140
52208137
66597137
08029133
Stop Event
1×iter limit
1×node limit
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)
(/.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
(/.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 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(*.f64 #s(literal 4 binary64) (sinh.f64 x))
#s(literal 4 binary64)
(sinh.f64 x)
x
(*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))
#s(literal 2 binary64)
(sinh.f64 (+.f64 x x))
(+.f64 x x)
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)
(/.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
(/.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(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)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 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 (fma.f64 (*.f64 x x) (*.f64 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)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(*.f64 x x)
#s(literal 1/12 binary64)
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 #s(literal 4 binary64) (sinh.f64 x))
#s(literal 4 binary64)
(sinh.f64 x)
x
(*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))
#s(literal 2 binary64)
(sinh.f64 (+.f64 x x))
(+.f64 x x)

localize149.0ms (1.8%)

Memory
-17.3MiB live, 217.0MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))
✓accuracy100.0%
(sinh.f64 x)
✓accuracy100.0%
(sinh.f64 (+.f64 x x))
✓accuracy99.2%
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
✓accuracy100.0%
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
✓accuracy100.0%
(/.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))))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
✓accuracy98.2%
#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)))
✓accuracy100.0%
(fma.f64 x x #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
✓accuracy98.2%
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))
✓accuracy98.0%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
✓accuracy100.0%
(cosh.f64 x)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Samples
92.0ms138×5exit
21.0ms118×0valid
Compiler

Compiled 120 to 27 computations (77.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
adjust: 30.0ms (36.2% of total)
ival-exp: 11.0ms (13.3% of total)
ival-mult: 11.0ms (13.3% of total)
ival-add: 10.0ms (12.1% of total)
ival-div: 8.0ms (9.7% of total)
const: 6.0ms (7.2% of total)
ival-cosh: 3.0ms (3.6% of total)
ival-sinh: 2.0ms (2.4% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
16.8MiB live, 16.8MiB allocated
Counts
16 → 192
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 (/.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 (/.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 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))>
#<alt (*.f64 #s(literal 4 binary64) (sinh.f64 x))>
#<alt (sinh.f64 x)>
#<alt (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))>
#<alt (*.f64 (*.f64 x x) #s(literal 1/12 binary64))>
#<alt (sinh.f64 (+.f64 x 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) (/ 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 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) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))>
#<alt (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))>
#<alt (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))>
#<alt (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))>
#<alt (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))>
#<alt (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))>
#<alt (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))>
#<alt (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* 2/3 (pow x 2))))>
#<alt (* x (+ 4 (* (pow x 2) (+ 2/3 (* 1/30 (pow x 2))))))>
#<alt (* x (+ 4 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/30 (* 1/1260 (pow x 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 x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* 8/3 (pow x 2))))>
#<alt (* x (+ 4 (* (pow x 2) (+ 8/3 (* 8/15 (pow x 2))))))>
#<alt (* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (pow x 2))))))))>
#<alt (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))>
#<alt (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))>
#<alt (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))>
#<alt (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))>
#<alt (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))>
#<alt (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))>
#<alt (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))>
#<alt (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 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 (* 2 x)>
#<alt (* x (+ 2 (* 4/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))>
#<alt (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))>
#<alt (* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))>
#<alt (* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))>
#<alt (* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))>
#<alt (* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))>
Calls

48 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ (* 4 (sinh x)) (* 2 (sinh (+ x x))))
2.0ms
x
@inf
(/ (* 4 (sinh x)) (* 2 (sinh (+ x x))))
2.0ms
x
@inf
(/ 1 (cosh x))
2.0ms
x
@0
(/ (* 4 (sinh x)) (* 2 (sinh (+ x x))))
1.0ms
x
@-inf
(/ 1 (cosh x))

simplify370.0ms (4.4%)

Memory
14.5MiB live, 454.1MiB allocated
Algorithm
1×egg-herbie
Rules
13 226×lower-fma.f64
13 226×lower-fma.f32
4 994×lower-*.f64
4 994×lower-*.f32
3 424×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01711698
15151634
213401630
325271626
468191626
083061521
Stop Event
1×iter limit
1×node limit
Counts
192 → 190
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))))
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) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))
(* 4 x)
(* x (+ 4 (* 2/3 (pow x 2))))
(* x (+ 4 (* (pow x 2) (+ 2/3 (* 1/30 (pow x 2))))))
(* x (+ 4 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/30 (* 1/1260 (pow x 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))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 4 x)
(* x (+ 4 (* 8/3 (pow x 2))))
(* x (+ 4 (* (pow x 2) (+ 8/3 (* 8/15 (pow x 2))))))
(* x (+ 4 (* (pow x 2) (+ 8/3 (* (pow x 2) (+ 8/15 (* 16/315 (pow x 2))))))))
(- (exp (* 2 x)) (/ 1 (exp (* 2 x))))
(- (exp (* 2 x)) (/ 1 (exp (* 2 x))))
(- (exp (* 2 x)) (/ 1 (exp (* 2 x))))
(- (exp (* 2 x)) (/ 1 (exp (* 2 x))))
(- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))
(- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))
(- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))
(- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 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))
(* 2 x)
(* x (+ 2 (* 4/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 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 (*.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 x (*.f64 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 (*.f64 x 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 (*.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))
(* 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)))
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(*.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))
(* 2 x)
(+.f64 x x)
(* x (+ 2 (* 4/3 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* 4/15 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4/15 binary64) #s(literal 4/3 binary64))) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 4/15 (* 8/315 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 8/315 binary64) #s(literal 4/15 binary64)) #s(literal 4/3 binary64)) #s(literal 2 binary64)))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(* 1/2 (- (exp (* 2 x)) (/ 1 (exp (* 2 x)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(* 1/2 (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))

rewrite248.0ms (2.9%)

Memory
-26.7MiB live, 50.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
544×lower-*.f32
536×lower-*.f64
530×lower-/.f32
522×lower-/.f64
490×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028133
045119
1172115
01115111
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
16 → 189
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))
(/.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))
(/.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 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(*.f64 #s(literal 4 binary64) (sinh.f64 x))
(sinh.f64 x)
(*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(sinh.f64 (+.f64 x x))
Outputs
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cosh.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 x))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.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 (neg.f64 x) #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))))
(cosh.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 (cosh.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x)))))
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
(neg.f64 (/.f64 #s(literal -2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 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))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))))
(pow.f64 (*.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 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)))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal 2 binary64))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x x #s(literal -2 binary64))))
(fma.f64 x x #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64)) (*.f64 x (+.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -4 binary64))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 8 binary64)) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64)) (*.f64 x (+.f64 x x))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 x x)))))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -4 binary64)) (fma.f64 x x #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64)) (*.f64 x (+.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -4 binary64))) (neg.f64 (fma.f64 x x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64)) (*.f64 x (+.f64 x x)))))
(*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -2 binary64))))
(neg.f64 (/.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 1 binary64) (*.f64 #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 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #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 1/2 binary64)) #s(literal 1 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) (neg.f64 (neg.f64 #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 -1 binary64) (neg.f64 (*.f64 #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 1/2 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 #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)))))
(pow.f64 (*.f64 #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 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 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) (/.f64 #s(literal 1 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) (/.f64 #s(literal 1 binary64) (neg.f64 #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 (/.f64 #s(literal 1 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)))
(+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
(+.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal 2 binary64))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (fma.f64 x x #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (*.f64 x x))
(-.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal -2 binary64))) (/.f64 #s(literal 4 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 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 2 binary64))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))
(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) (/.f64 (-.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal 4 binary64)) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) (+.f64 x x))) (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal -2 binary64)) (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal -4 binary64))))
(/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) #s(literal 8 binary64)) (-.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal 4 binary64)) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) (+.f64 x x))))
(/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) (+.f64 x x)))))
(/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal -4 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal 4 binary64)) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) (+.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal -4 binary64))) (neg.f64 (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))) (-.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))))
(*.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal 4 binary64)) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) (+.f64 x x)))))
(*.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal -2 binary64))))
(+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x)
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/144 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (neg.f64 x))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)
(fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x)
(fma.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/144 binary64))) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/144 binary64)) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (neg.f64 x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/144 binary64)) (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/144 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/144 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/144 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/144 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/144 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/144 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/144 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/144 binary64))) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/144 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/144 binary64)))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/144 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (neg.f64 x))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (*.f64 (sinh.f64 (+.f64 x x)) #s(literal -2 binary64))))
(neg.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (sinh.f64 (+.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 x)))))
(/.f64 (*.f64 (sinh.f64 x) #s(literal -4 binary64)) (*.f64 (sinh.f64 (+.f64 x x)) #s(literal -2 binary64)))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 (+.f64 x x)))
(/.f64 (neg.f64 (*.f64 (sinh.f64 x) #s(literal -4 binary64))) (neg.f64 (*.f64 (sinh.f64 (+.f64 x x)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (neg.f64 (sinh.f64 (+.f64 x x))))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (sinh.f64 (+.f64 x x))))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x))))
(*.f64 #s(literal 4 binary64) (/.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(*.f64 (sinh.f64 x) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (+.f64 x x)))))
(*.f64 (sinh.f64 x) (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(*.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (+.f64 x x))))
(*.f64 (*.f64 (sinh.f64 x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 (+.f64 x x)) #s(literal -2 binary64))))
(*.f64 (/.f64 (sinh.f64 x) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))
(*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sinh.f64 (+.f64 x x))))
(*.f64 (/.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 4 binary64) (sinh.f64 (+.f64 x x))) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (sinh.f64 (+.f64 x x))))
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (sinh.f64 x))
(*.f64 (sinh.f64 x) #s(literal 4 binary64))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(sinh.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(+.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))
(+.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 (+.f64 x x))))
(+.f64 (exp.f64 (+.f64 x x)) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) #s(literal 2 binary64)))
(-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) (sinh.f64 (+.f64 x x)))
(fma.f64 (exp.f64 x) (exp.f64 x) (neg.f64 (exp.f64 (+.f64 x x))))
(fma.f64 (exp.f64 x) (exp.f64 x) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (+.f64 x x))))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1/2 binary64) (sinh.f64 (+.f64 x x)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))) (*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(*.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/12 binary64)) x)
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (+.f64 x x)) #s(literal 2 binary64)))
(fma.f64 (cosh.f64 x) (sinh.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)))
(fma.f64 (sinh.f64 x) (cosh.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)))
(sinh.f64 (+.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64))
(/.f64 (*.f64 (sinh.f64 (+.f64 x x)) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1/2 binary64))

eval77.0ms (0.9%)

Memory
8.0MiB live, 49.1MiB allocated
Compiler

Compiled 5 918 to 647 computations (89.1% saved)

prune40.0ms (0.5%)

Memory
-1.6MiB live, 72.5MiB allocated
Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New36514379
Fresh213
Picked235
Done000
Total36918387
Accuracy
100.0%
Counts
387 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.3%
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 (+.f64 x x)))
88.2%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))))
92.0%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))
▶92.0%
(/.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))))
88.2%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))
▶88.2%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))))
✓73.5%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
51.1%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal -4 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal -2 binary64)))))
48.8%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 8 binary64)) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64)) (*.f64 x (+.f64 x x))))))
46.0%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
▶45.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
31.3%
(/.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))
▶92.0%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (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))))
88.2%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
45.2%
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
▶45.2%
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓45.8%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 534 to 276 computations (48.3% saved)

simplify286.0ms (3.4%)

Memory
8.8MiB live, 406.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 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
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)
✓cost-diff0
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))
✓cost-diff0
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) 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 #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))))
✓cost-diff0
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
✓cost-diff0
#s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))
✓cost-diff0
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))
✓cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
✓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 (/ (* 4 (sinh x)) (* 2 (sinh (+ x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) (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))
✓cost-diff0
#s(approx (cosh x) (fma.f64 (*.f64 x x) (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)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (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))))
Rules
6 786×lower-fma.f32
6 768×lower-fma.f64
4 556×lower-*.f32
4 540×lower-*.f64
2 368×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054392
084361
1190361
2404353
3818353
41517353
53058353
67881353
08749342
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 (*.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 (*.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 (*.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 (*.f64 x 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) #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)
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 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)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))
#s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
x
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))
#s(literal 1/12 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) 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 #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))
x
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)
(*.f64 (*.f64 x #s(literal 1/12 binary64)) x)
(*.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 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 (*.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) (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 (*.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(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 (*.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 (*.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 (*.f64 x 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 #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 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))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x x)))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #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))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 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)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))
#s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
x
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))
#s(literal 1/12 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) 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 #s(literal 1/12 binary64)) x) 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 #s(literal 1/12 binary64)) x) 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 #s(literal 1/12 binary64)) x) x)
(fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)
(*.f64 (*.f64 x #s(literal 1/12 binary64)) x)
(*.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 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 (*.f64 x (*.f64 x 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)))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x) #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 x (fma.f64 (*.f64 x (*.f64 x 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)
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x)
(*.f64 x x)
(*.f64 x (fma.f64 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)

localize425.0ms (5%)

Memory
37.4MiB live, 425.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.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))))
✓accuracy99.9%
(*.f64 x #s(literal 1/360 binary64))
✓accuracy99.7%
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
✓accuracy98.2%
#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)))
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))))
✓accuracy99.9%
(*.f64 (*.f64 x #s(literal 1/12 binary64)) x)
✓accuracy99.7%
(*.f64 x #s(literal 1/12 binary64))
✓accuracy98.2%
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.9%
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))
✓accuracy98.2%
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))
✓accuracy56.5%
#s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))
✓accuracy100.0%
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy98.1%
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (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))))
✓accuracy100.0%
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
✓accuracy100.0%
(fma.f64 (*.f64 x x) (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))
✓accuracy98.2%
#s(approx (cosh x) (fma.f64 (*.f64 x x) (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)))
Samples
314.0ms138×5exit
44.0ms118×0valid
Compiler

Compiled 254 to 56 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 269.0ms
ival-add: 109.0ms (40.6% of total)
adjust: 60.0ms (22.3% of total)
ival-mult: 43.0ms (16% of total)
ival-exp: 25.0ms (9.3% of total)
const: 16.0ms (6% of total)
ival-div: 8.0ms (3% of total)
ival-cosh: 3.0ms (1.1% of total)
ival-sinh: 3.0ms (1.1% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-10.9MiB live, 26.0MiB allocated
Counts
25 → 300
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (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))))>
#<alt #s(approx (cosh x) (fma.f64 (*.f64 x x) (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)))>
#<alt (fma.f64 (*.f64 x x) (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))>
#<alt (*.f64 x x)>
#<alt #s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))>
#<alt #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))>
#<alt #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))>
#<alt (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.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 #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))))>
#<alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))>
#<alt (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))>
#<alt (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)>
#<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 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))>
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (*.f64 x #s(literal 1/12 binary64))>
#<alt (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)>
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))>
#<alt (*.f64 x #s(literal 1/360 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) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))>
#<alt (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))>
#<alt (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))>
#<alt (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))>
#<alt (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))>
#<alt (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))>
#<alt (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))>
#<alt (* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 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 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) (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>
#<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 (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/12 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 (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 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)>
Calls

75 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(+ (exp x) (exp (neg x)))
3.0ms
x
@-inf
(+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2)
0.0ms
x
@inf
(+ (* x (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x)) 2)
0.0ms
x
@inf
(+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2)) 1)
0.0ms
x
@0
(* x (* 1/12 (* x (* x x))))

simplify290.0ms (3.4%)

Memory
1.3MiB live, 367.1MiB allocated
Algorithm
1×egg-herbie
Rules
8 540×lower-fma.f64
8 540×lower-fma.f32
3 472×lower-*.f64
3 472×lower-*.f32
1 716×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01382298
14112222
29892206
325372198
460202198
082772037
Stop Event
1×iter limit
1×node limit
Counts
300 → 298
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) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 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))
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) (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
(+ 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)))))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/12 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))
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 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)
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 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 x (*.f64 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 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 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))
(* 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 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 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))
(* 1/720 (pow x 6))
(*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #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 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #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 (*.f64 x 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 (*.f64 x 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))
(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 x (*.f64 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 x (*.f64 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))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (* 2 x)) (/ 1 (exp (* 2 x))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))
(* 2 (/ (- (exp x) (/ 1 (exp x))) (- (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.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 (* -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))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
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(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 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))
(* 1/12 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))
(* 1/12 (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))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* 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))

rewrite319.0ms (3.8%)

Memory
2.3MiB live, 386.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 612×lower-fma.f32
5 594×lower-fma.f64
3 854×lower-*.f32
3 838×lower-*.f64
2 948×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054348
084305
1376305
22371280
09395269
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 387
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (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))))
#s(approx (cosh x) (fma.f64 (*.f64 x x) (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)))
(fma.f64 (*.f64 x x) (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 x x)
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))
#s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))))
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)
(/.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)
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 x #s(literal 1/12 binary64))
(*.f64 (*.f64 x #s(literal 1/12 binary64)) x)
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/360 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (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)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (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) (fma.f64 x (*.f64 x (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) (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (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) (neg.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (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) (neg.f64 (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (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)))))))
(pow.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (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))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (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))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (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))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (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))) #s(approx (cosh x) (fma.f64 x (*.f64 x (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)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (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))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (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 (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (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)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (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 (pow.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (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))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (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))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (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)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (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))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (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(approx (cosh x) (fma.f64 x (*.f64 x (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))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (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 (neg.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (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)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (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))))) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 x (*.f64 x (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)))
(pow.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (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))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (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)))) #s(literal -1 binary64))
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (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))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (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)))))
(+.f64 (*.f64 x (*.f64 x (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 (*.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)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
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(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64))) (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64))))) (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (*.f64 x (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 (*.f64 x (*.f64 x 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 x (fma.f64 (*.f64 (*.f64 x (*.f64 x 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 (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 (*.f64 x (*.f64 x 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 (*.f64 x (*.f64 x 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 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))) (fma.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/360 binary64))) (*.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 (*.f64 x (*.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 x #s(literal 1/360 binary64))
(*.f64 #s(literal 1/360 binary64) x)

eval126.0ms (1.5%)

Memory
-13.8MiB live, 219.6MiB allocated
Compiler

Compiled 20 582 to 1 521 computations (92.6% saved)

prune115.0ms (1.4%)

Memory
-27.4MiB live, 174.7MiB allocated
Pruning

31 alts after pruning (26 fresh and 5 done)

PrunedKeptTotal
New75520775
Fresh4610
Picked325
Done033
Total76231793
Accuracy
100.0%
Counts
793 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.3%
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 (+.f64 x x)))
92.0%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 2 binary64))))
92.0%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))
92.0%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x x) x) #s(literal 2 binary64))))
64.3%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) x) #s(literal 2 binary64))))
50.0%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (fma.f64 (*.f64 x x) (/.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) (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))) x) #s(literal 2 binary64))))
88.2%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x) #s(literal 2 binary64))))
58.0%
(/.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) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) #s(literal 2 binary64))))
91.8%
(/.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 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) #s(literal 2 binary64))))
▶91.8%
(/.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 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))))
✓73.5%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
51.1%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal -4 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal -2 binary64)))))
49.5%
(/.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 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))
49.4%
(/.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 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))))))
45.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)))))
46.0%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
45.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
45.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)))))))
▶31.3%
(/.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))
✓92.0%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (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))))
▶64.3%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
48.6%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.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 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
92.0%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
▶88.2%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
▶92.0%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (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))))
49.5%
(/.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 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
49.7%
(/.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 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
45.2%
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
✓45.2%
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓45.8%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 1 162 to 591 computations (49.1% saved)

simplify458.0ms (5.4%)

Memory
9.1MiB live, 525.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #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 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓cost-diff0
#s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))
✓cost-diff0
(fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))
✓cost-diff0
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64)))
✓cost-diff0
(/.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 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #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 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #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 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 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 (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)))
✓cost-diff0
(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))
✓cost-diff0
#s(approx (cosh x) (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)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (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))))
Rules
13 028×lower-fma.f32
13 008×lower-fma.f64
5 554×lower-*.f32
5 538×lower-*.f64
1 492×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058571
094533
1191509
2427509
3762499
41165499
51374499
61945499
72594499
82957499
93393499
103733499
114846499
126647499
137457499
08015488
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 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))))
#s(literal 1 binary64)
#s(approx (cosh x) (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 (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))
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)))
(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))
(*.f64 x x)
#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 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #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 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
#s(approx (+ (* (* x x) 1/720) 1/24) #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))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))))
#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 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64)))
(fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))
x
#s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))
(*.f64 x x)
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))
#s(literal 1/360 binary64)
(*.f64 x (*.f64 x x))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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)))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))
(*.f64 (*.f64 x (*.f64 x x)) x)
(*.f64 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 x #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (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))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (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))))
#s(literal 1 binary64)
#s(approx (cosh x) (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)))
#s(approx (cosh x) (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)))
(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 (*.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))
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)))
(*.f64 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)))
(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 x (*.f64 x (fma.f64 x (*.f64 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)))
(*.f64 x (fma.f64 x (*.f64 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 #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(*.f64 x x)
#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 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #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 #s(approx (+ (* (* x x) 1/720) 1/24) #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 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #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 #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
#s(approx (+ (* (* x x) 1/720) 1/24) #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))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 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 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64))))
#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 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #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 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64)))
(fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))
(fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64))
x
#s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))
#s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x x)
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))
#s(literal 1/360 binary64)
(*.f64 x (*.f64 x x))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #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) (/.f64 (fma.f64 (*.f64 x (*.f64 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))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x (*.f64 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))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x (*.f64 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))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x (*.f64 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))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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 (fma.f64 (*.f64 x (*.f64 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)))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))
(*.f64 (*.f64 x (*.f64 x x)) x)
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 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 x #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)

localize251.0ms (3%)

Memory
20.1MiB live, 326.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.6%
(*.f64 x #s(literal 1/720 binary64))
✓accuracy92.0%
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓accuracy63.2%
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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)))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.8%
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))
✓accuracy92.0%
#s(approx (+ (exp x) (exp (neg x))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64)))
✓accuracy57.4%
#s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))
✓accuracy99.9%
(fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
✓accuracy99.9%
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓accuracy92.0%
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓accuracy46.4%
#s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x))))
✓accuracy73.5%
#s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x x) 2) (*.f64 x x)))
✓accuracy56.8%
#s(approx (+ (* x x) 2) (*.f64 x x))
✓accuracy100.0%
(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))
✓accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
✓accuracy99.6%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
✓accuracy92.0%
#s(approx (cosh x) (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)))
Samples
115.0ms256×0valid
Compiler

Compiled 356 to 56 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-mult: 34.0ms (36.7% of total)
const: 26.0ms (28.1% of total)
ival-add: 14.0ms (15.1% of total)
ival-cosh: 7.0ms (7.6% of total)
ival-div: 5.0ms (5.4% of total)
ival-exp: 4.0ms (4.3% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-15.0MiB live, 23.3MiB allocated
Counts
27 → 324
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (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))))>
#<alt #s(approx (cosh x) (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)))>
#<alt (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))>
#<alt (*.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)))>
#<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 x x)>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #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 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #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))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))))>
#<alt #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64)))>
#<alt (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))>
#<alt #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #s(literal 1/2 binary64)) #s(literal 1 binary64))>
#<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 #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))>
#<alt (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))>
#<alt (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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)))>
#<alt (*.f64 x #s(literal 1/720 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 (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))>
#<alt (* 1/720 (pow x 5))>
#<alt (* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* 1/720 (pow x 5))>
#<alt (* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (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) (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 (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) (/ 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 (* (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>
#<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 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 1/24>
#<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 (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 1/24>
#<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 (* 1/720 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)>
Calls

81 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+ (* (* x x) (+ (* (* x x) (/ (+ (* (* (* x (* x x)) x) 1/518400) -1/576) (+ (* x (* x 1/720)) -1/24))) 1/2)) 1)
0.0ms
x
@inf
(/ (+ (* (* (* x (* x x)) x) 1/518400) -1/576) (+ (* x (* x 1/720)) -1/24))
0.0ms
x
@inf
(* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2))
0.0ms
x
@0
(/ (+ (* (* (* x (* x x)) x) 1/518400) -1/576) (+ (* x (* x 1/720)) -1/24))
0.0ms
x
@-inf
(* x 1/720)

simplify256.0ms (3%)

Memory
15.0MiB live, 382.1MiB allocated
Algorithm
1×egg-herbie
Rules
8 534×lower-fma.f64
8 534×lower-fma.f32
3 478×lower-*.f64
3 478×lower-*.f32
2 106×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332624
14102594
210172592
326432590
459272586
084192351
Stop Event
1×iter limit
1×node limit
Counts
324 → 323
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))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/720 (pow x 5))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (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) (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)))))
(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) (/ 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 (* (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
(+ 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 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))))))
1/24
(+ 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))))))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1/24
(+ 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)))))
(* 1/720 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)
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 (*.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 (*.f64 x 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 (*.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))
(* 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 (*.f64 x 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 (*.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))
(* 1/720 (pow x 6))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x x) (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)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (*.f64 x x) (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))
(* 1/720 (pow x 6))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x x) (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)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (*.f64 x x) (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))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 x (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)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))
(*.f64 x (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)))
(* 1/720 (pow x 5))
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x x)))
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
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(/.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 (*.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 (*.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))
(* 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 (*.f64 x 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 (*.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))
(* 1/720 (pow x 6))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x x) (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)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (*.f64 x x) (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))
(* 1/720 (pow x 6))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x x) (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)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (*.f64 x x) (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))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* 1/720 (pow x 3))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* 1/720 (pow x 3))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* 1/720 (pow x 4))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(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))
(* 1/720 (pow x 4))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(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))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* 1/720 (pow x 4))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(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))
(* 1/720 (pow x 4))
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(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))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 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))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))

rewrite429.0ms (5.1%)

Memory
-0.6MiB live, 559.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 784×lower-fma.f32
5 764×lower-fma.f64
4 494×lower-*.f32
4 478×lower-*.f64
3 984×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058477
094405
1405397
22947389
09068378
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 584
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (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))))
#s(approx (cosh x) (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 (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 (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 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 x x)
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #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) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #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 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #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 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64)))
(fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))
#s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #s(literal 1/2 binary64)) #s(literal 1 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))
(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(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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 x #s(literal 1/720 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 #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)))
(neg.f64 (/.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)))))
(/.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))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #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))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #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)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #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)))))))
(pow.f64 #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))
(pow.f64 (neg.f64 (neg.f64 #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))
(pow.f64 (pow.f64 #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 -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #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(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 -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 #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))
(*.f64 #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)))))
(*.f64 (/.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))
(*.f64 #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)))))
(*.f64 (pow.f64 #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 -1/2 binary64)) (pow.f64 #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 -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 #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))))
(-.f64 #s(literal 0 binary64) (/.f64 #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)))
(/.f64 #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)))))
(/.f64 #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))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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))))))
(/.f64 (neg.f64 #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))
(/.f64 (neg.f64 (neg.f64 #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 (*.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)))
(pow.f64 #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))
(pow.f64 (/.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))
(*.f64 #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))
(+.f64 #s(literal 1 binary64) (*.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))))
(+.f64 (*.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 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (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)) (*.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))))) (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 #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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.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))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (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)) (*.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))))) (-.f64 #s(literal 1 binary64) (*.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))))))
(fma.f64 #s(literal 1 binary64) (*.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 x (*.f64 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 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (*.f64 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))
(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) (*.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 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (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))
(fma.f64 (*.f64 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))) x #s(literal 1 binary64))
(fma.f64 (*.f64 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))) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (*.f64 x (*.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 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (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)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (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)) (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.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))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 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 (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 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 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)))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) #s(literal -1/576 binary64)))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) #s(literal -1/576 binary64))) (*.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 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) #s(literal -1/576 binary64))) (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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)))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x 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 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) #s(literal -1/576 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/139314069504000000 binary64)) #s(literal -1/191102976 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/268738560000 binary64) #s(literal 1/331776 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/298598400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/268738560000 binary64) #s(literal -1/331776 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) #s(literal -1/576 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))))
(/.f64 (neg.f64 (neg.f64 (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 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) #s(literal -1/576 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/139314069504000000 binary64)) #s(literal -1/191102976 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/268738560000 binary64) #s(literal 1/331776 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/298598400 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/268738560000 binary64) #s(literal -1/331776 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) #s(literal 1/576 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) #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 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (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 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) #s(literal -1/576 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) #s(literal -1/576 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) #s(literal 1/576 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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 x x) (*.f64 x (*.f64 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 x x) (*.f64 x (*.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) #s(literal -1/576 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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 (pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/139314069504000000 binary64)) #s(literal -1/191102976 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/268738560000 binary64) #s(literal 1/331776 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/298598400 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/268738560000 binary64) #s(literal -1/331776 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) #s(literal 1/576 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/139314069504000000 binary64)) #s(literal -1/191102976 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) #s(literal -1/576 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/268738560000 binary64) #s(literal 1/331776 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/298598400 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/139314069504000000 binary64)) #s(literal -1/191102976 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 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/268738560000 binary64) #s(literal 1/331776 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/298598400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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 (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/268738560000 binary64) #s(literal -1/331776 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 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))))
(*.f64 x #s(literal 1/720 binary64))
(*.f64 #s(literal 1/720 binary64) x)

eval187.0ms (2.2%)

Memory
-3.4MiB live, 263.3MiB allocated
Compiler

Compiled 32 216 to 2 428 computations (92.5% saved)

prune116.0ms (1.4%)

Memory
-7.7MiB live, 292.4MiB allocated
Pruning

35 alts after pruning (26 fresh and 9 done)

PrunedKeptTotal
New1 059131 072
Fresh81321
Picked145
Done055
Total1 068351 103
Accuracy
100.0%
Counts
1 103 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.3%
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 (+.f64 x x)))
92.0%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 2 binary64))))
91.8%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) x #s(literal 2 binary64))))
88.2%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x) #s(literal 2 binary64))))
✓91.8%
(/.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 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))))
91.8%
(/.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 x x) #s(approx (* 1/360 (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) #s(literal 2 binary64))))
✓73.5%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x x #s(literal 2 binary64))))
51.1%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal -4 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal -2 binary64)))))
49.5%
(/.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 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))
49.4%
(/.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 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))))))
49.4%
(/.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 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/360 binary64)))))))
49.5%
(/.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 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))))))
45.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)))))
46.0%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
45.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
45.7%
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)))))))
✓31.3%
(/.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))
✓92.0%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (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))))
✓64.3%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
48.6%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.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 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
64.3%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
64.3%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓88.2%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
51.5%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) 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))))
64.3%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
53.3%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))))) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
64.3%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) #s(literal -1/576 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
69.3%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x #s(approx (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) (fma.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))))
49.7%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) (/ (+ (* (* (* x (* x x)) x) 1/518400) -1/576) (+ (* x (* x 1/720)) -1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (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))))))
49.5%
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) (/ (+ (* (* (* x (* x x)) x) 1/518400) -1/576) (+ (* x (* x 1/720)) -1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))))
49.7%
(/.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 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
45.2%
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
✓45.2%
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓45.8%
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64))
Compiler

Compiled 1 838 to 651 computations (64.6% saved)

regimes54.0ms (0.6%)

Memory
8.0MiB live, 85.1MiB allocated
Counts
56 → 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.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)) x)) 2) (*.f64 x (*.f64 (*.f64 x 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)) x)) 2) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.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)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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) #s(approx (+ (* (* x x) 1/720) 1/24) #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 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) 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(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 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 #s(literal 1/720 binary64) (*.f64 (*.f64 x 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 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/360 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 x (*.f64 #s(literal 1/360 binary64) (*.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 (*.f64 x 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 x)) x) 1/518400) -1/576) (+ (* x (* x 1/720)) -1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 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 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 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 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 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 x x) #s(approx (* 1/360 (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) #s(literal 2 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 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) (/ (+ (* (* (* x (* x x)) x) 1/518400) -1/576) (+ (* x (* x 1/720)) -1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (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))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.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))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (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))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (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 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 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x x) 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 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #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 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 8 binary64)) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64)) (*.f64 x (+.f64 x x))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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))) #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) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #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 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x #s(approx (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) (fma.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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))) #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) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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)))) #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) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal -4 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) #s(literal -1/576 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) 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 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.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 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 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 (*.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) (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))))) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (*.f64 x #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))))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (sinh.f64 (+.f64 x x)))
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Calls

3 calls:

24.0ms
x
15.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
12.0ms
(/.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)

regimes47.0ms (0.6%)

Memory
19.3MiB live, 94.5MiB allocated
Counts
52 → 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.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)) x)) 2) (*.f64 x (*.f64 (*.f64 x 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)) x)) 2) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.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)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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) #s(approx (+ (* (* x x) 1/720) 1/24) #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 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) 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(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 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 #s(literal 1/720 binary64) (*.f64 (*.f64 x 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 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/360 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 x (*.f64 #s(literal 1/360 binary64) (*.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 (*.f64 x 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 x)) x) 1/518400) -1/576) (+ (* x (* x 1/720)) -1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 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 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 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 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 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 x x) #s(approx (* 1/360 (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) #s(literal 2 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 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) (/ (+ (* (* (* x (* x x)) x) 1/518400) -1/576) (+ (* x (* x 1/720)) -1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (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))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.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))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (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))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (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 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 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x x) 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 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #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 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 8 binary64)) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64)) (*.f64 x (+.f64 x x))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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))) #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) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #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 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x #s(approx (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) (fma.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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))) #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) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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)))) #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) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal -4 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) #s(literal -1/576 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) 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 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.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 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 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 (*.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) (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))))) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (*.f64 x #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 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) 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 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
Calls

3 calls:

16.0ms
x
16.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
12.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
94.8%2x
92.0%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
92.0%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes20.0ms (0.2%)

Memory
-4.8MiB live, 36.3MiB allocated
Counts
48 → 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.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)) x)) 2) (*.f64 x (*.f64 (*.f64 x 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)) x)) 2) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.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)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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) #s(approx (+ (* (* x x) 1/720) 1/24) #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 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) 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(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 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 #s(literal 1/720 binary64) (*.f64 (*.f64 x 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 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/360 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 x (*.f64 #s(literal 1/360 binary64) (*.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 (*.f64 x 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 x)) x) 1/518400) -1/576) (+ (* x (* x 1/720)) -1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 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 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 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 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 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 x x) #s(approx (* 1/360 (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) #s(literal 2 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 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) (/ (+ (* (* (* x (* x x)) x) 1/518400) -1/576) (+ (* x (* x 1/720)) -1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (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))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.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))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (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))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (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 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 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x x) 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 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #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 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 8 binary64)) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64)) (*.f64 x (+.f64 x x))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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))) #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) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #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 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x #s(approx (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) (fma.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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))) #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) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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)))) #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) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal -4 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/518400 binary64))) #s(literal -1/576 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal -4 binary64)) (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))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))))))
Calls

1 calls:

18.0ms
x
Results
AccuracySegmentsBranch
94.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes31.0ms (0.4%)

Memory
6.8MiB live, 79.6MiB allocated
Counts
46 → 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.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)) x)) 2) (*.f64 x (*.f64 (*.f64 x 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)) x)) 2) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.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)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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) #s(approx (+ (* (* x x) 1/720) 1/24) #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 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) 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(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 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 #s(literal 1/720 binary64) (*.f64 (*.f64 x 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 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/360 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 x (*.f64 #s(literal 1/360 binary64) (*.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 (*.f64 x 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 x)) x) 1/518400) -1/576) (+ (* x (* x 1/720)) -1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 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 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 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 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 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 x x) #s(approx (* 1/360 (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) #s(literal 2 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 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) (/ (+ (* (* (* x (* x x)) x) 1/518400) -1/576) (+ (* x (* x 1/720)) -1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (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))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.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))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (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))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (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 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 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (*.f64 x x) 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 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #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 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 8 binary64)) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 4 binary64)) (*.f64 x (+.f64 x x))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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))) #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) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x 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))) #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 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x #s(approx (* x (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) (fma.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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))) #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) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 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)))) #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) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64)))))) #s(literal 2 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (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))))
Calls

2 calls:

15.0ms
x
13.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
92.0%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
92.0%1x
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes30.0ms (0.4%)

Memory
-8.4MiB live, 75.0MiB allocated
Counts
32 → 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.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)) x)) 2) (*.f64 x (*.f64 (*.f64 x 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)) x)) 2) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.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)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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) #s(approx (+ (* (* x x) 1/720) 1/24) #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 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) 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(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 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 #s(literal 1/720 binary64) (*.f64 (*.f64 x 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 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/360 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 x (*.f64 #s(literal 1/360 binary64) (*.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 (*.f64 x 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 x)) x) 1/518400) -1/576) (+ (* x (* x 1/720)) -1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 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 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 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 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 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 x x) #s(approx (* 1/360 (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) #s(literal 2 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 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) (/ (+ (* (* (* x (* x x)) x) 1/518400) -1/576) (+ (* x (* x 1/720)) -1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (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))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.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))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x x)))) #s(literal 2 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
Calls

3 calls:

13.0ms
x
8.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
7.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
92.0%1x
92.0%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
92.0%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes26.0ms (0.3%)

Memory
1.9MiB live, 79.0MiB allocated
Counts
30 → 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.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)) x)) 2) (*.f64 x (*.f64 (*.f64 x 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)) x)) 2) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.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)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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) #s(approx (+ (* (* x x) 1/720) 1/24) #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 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) 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(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 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 #s(literal 1/720 binary64) (*.f64 (*.f64 x 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 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/360 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 x (*.f64 #s(literal 1/360 binary64) (*.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 (*.f64 x 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 x)) x) 1/518400) -1/576) (+ (* x (* x 1/720)) -1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 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 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 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 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 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 x x) #s(approx (* 1/360 (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) #s(literal 2 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 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) (/ (+ (* (* (* x (* x x)) x) 1/518400) -1/576) (+ (* x (* x 1/720)) -1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (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))))))
Outputs
(/.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 x x) #s(approx (* 1/360 (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) #s(literal 2 binary64))))
Calls

3 calls:

10.0ms
x
8.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
91.8%1x
91.8%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
91.8%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes60.0ms (0.7%)

Memory
-36.1MiB live, 56.6MiB 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.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)) x)) 2) (*.f64 x (*.f64 (*.f64 x 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)) x)) 2) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.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)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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) #s(approx (+ (* (* x x) 1/720) 1/24) #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 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) 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(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 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 #s(literal 1/720 binary64) (*.f64 (*.f64 x 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 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/360 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 x (*.f64 #s(literal 1/360 binary64) (*.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 (*.f64 x 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 x)) x) 1/518400) -1/576) (+ (* x (* x 1/720)) -1/24))) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 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 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 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 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))
Outputs
#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) (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
Calls

3 calls:

8.0ms
x
7.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
7.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
92.3%2x
92.3%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
92.3%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes17.0ms (0.2%)

Memory
33.1MiB live, 33.2MiB 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.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)) x)) 2) (*.f64 x (*.f64 (*.f64 x 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)) x)) 2) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.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)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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) #s(approx (+ (* (* x x) 1/720) 1/24) #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 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) 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(literal 1/12 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 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
88.2%1x
88.2%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
88.2%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes33.0ms (0.4%)

Memory
-12.5MiB live, 24.1MiB allocated
Counts
12 → 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.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)) x)) 2) (*.f64 x (*.f64 (*.f64 x 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)) x)) 2) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.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)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
Outputs
#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))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x)))))
Calls

3 calls:

25.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms
x
3.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
88.2%2x
88.2%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
88.2%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes46.0ms (0.5%)

Memory
-14.4MiB live, 22.3MiB allocated
Counts
11 → 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.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)) x)) 2) (*.f64 x (*.f64 (*.f64 x 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)) x)) 2) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))))
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/12 binary64)))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.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:

4.0ms
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
88.2%2x
88.2%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
88.2%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated
Counts
7 → 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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)))
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
x
2.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
73.5%1x
73.5%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
73.5%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
4 → 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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
2.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
73.5%2x
73.5%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
73.5%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes44.0ms (0.5%)

Memory
-23.4MiB live, 13.4MiB allocated
Accuracy

Total -0.5b remaining (-1.4%)

Threshold costs -0.5b (-1.4%)

Counts
3 → 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)))
#s(approx (/ (* 4 (sinh x)) (* 2 (sinh (+ x 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:

40.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms
x
1.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
45.8%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
45.8%1x
45.8%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch5.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
4.0ms
8.473015274340468e+71
1.3470113126502119e+81
Samples
2.0ms48×0valid
Compiler

Compiled 189 to 92 computations (51.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-exp: 1.0ms (71.6% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Memory
-11.7MiB live, 26.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
8.473015274340468e+71
1.3470113126502119e+81
Samples
11.0ms96×0valid
Compiler

Compiled 498 to 218 computations (56.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-neg: 7.0ms (76.6% of total)
ival-div: 1.0ms (10.9% of total)
ival-exp: 1.0ms (10.9% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.000000011608497
466.15628625759456
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.000000011608497
466.15628625759456
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
0.004290406584573686
0.9999999941957516
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
2.000000011608497
466.15628625759456
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify12.0ms (0.1%)

Memory
29.5MiB live, 29.5MiB allocated
Algorithm
1×egg-herbie
Rules
42×*-commutative_binary64
4×+-commutative_binary64
2×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136532
1163532
2165532
3166532
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(if (<=.f64 x #s(literal 49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) 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 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 220000000000000003925477412063242207446462861608415466725319634636590148485120 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal -4 binary64)) (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))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (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))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.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))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) #s(approx (* 1/360 (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) #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 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) (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 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 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))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x))))))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.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))
(if (<=.f64 x #s(literal 49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) 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 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 49999999999999999139130636277292928373873822357007948776987560108905577054208 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 x (/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 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))) #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal 220000000000000003925477412063242207446462861608415466725319634636590148485120 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) (/.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)) #s(literal -4 binary64)) (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))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (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))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) 1/24) (*.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))) (fma.f64 x #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/360)) 1/12))) x) (*.f64 (*.f64 x x) #s(approx (* 1/360 (* x (* x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))) #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 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) (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 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 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))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)) x))))))
(if (<=.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (+ (exp x) (exp (neg x))) #s(approx (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2) (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.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))

soundness2.0s (23.8%)

Memory
-19.5MiB live, 1 296.0MiB allocated
Rules
15 580×lower-fma.f64
15 580×lower-fma.f32
13 226×lower-fma.f64
13 226×lower-fma.f32
8 540×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028133
045119
1172115
01115111
0721
01217
14215
225715
3237015
0906415
066307
1162306
2359302
3921302
41406302
52068302
63397302
74663302
85970302
97535302
08007280
01711698
15151634
213401630
325271626
468191626
083061521
01382298
14112222
29892206
325372198
460202198
082772037
058477
094405
1405397
22947389
09068378
01332624
14102594
210172592
326432590
459272586
084192351
Stop Event
1×fuel
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×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 674 to 307 computations (54.5% saved)

preprocess74.0ms (0.9%)

Memory
20.2MiB live, 172.8MiB allocated
Remove

(abs x)

Compiler

Compiled 688 to 198 computations (71.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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