Hyperbolic secant

Time bar (total: 8.8s)

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
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)

sample629.0ms (7.1%)

Memory
14.3MiB live, 629.0MiB allocated
Samples
388.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 250.0ms
ival-exp: 119.0ms (47.6% of total)
ival-div: 52.0ms (20.8% of total)
ival-add: 36.0ms (14.4% of total)
ival-neg: 31.0ms (12.4% of total)
ival-true: 5.0ms (2% of total)
exact: 4.0ms (1.6% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

preprocess21.0ms (0.2%)

Memory
24.0MiB live, 24.0MiB allocated
Algorithm
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
iter limit
saturated
iter limit
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)

explain96.0ms (1.1%)

Memory
2.6MiB live, 156.8MiB 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)
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
34.0ms512×0valid
Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-exp: 13.0ms (61.1% of total)
ival-div: 3.0ms (14.1% of total)
ival-add: 2.0ms (9.4% of total)
ival-neg: 2.0ms (9.4% 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
1.5MiB live, 1.5MiB 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)

simplify11.0ms (0.1%)

Memory
-26.3MiB live, 11.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (neg.f64 x))
cost-diff0
(exp.f64 x)
cost-diff0
(+.f64 (exp.f64 x) (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
iter limit
saturated
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)

localize26.0ms (0.3%)

Memory
6.4MiB live, 42.2MiB 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
17.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-exp: 7.0ms (62.7% of total)
ival-div: 2.0ms (17.9% of total)
ival-add: 1.0ms (9% of total)
ival-neg: 1.0ms (9% 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
5.5MiB live, 5.5MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))>
#<alt (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))>
#<alt (exp.f64 x)>
#<alt (exp.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (neg x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt (/ 2 (+ (exp x) (exp (* -1 x))))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (neg x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt (+ (exp x) (exp (* -1 x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

15 calls:

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

rewrite346.0ms (3.9%)

Memory
-43.4MiB live, 403.2MiB allocated
Algorithm
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
iter limit
node limit
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)))))))
(fma.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))))
(fma.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))))
(fma.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)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 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) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (-.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (exp.f64 (*.f64 x #s(literal 4 binary64))))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))))
(/.f64 (*.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))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))
(/.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64)))) (fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (-.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (-.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (exp.f64 (*.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))))
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(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(*.f64 (cosh.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (sinh.f64 x)))
(*.f64 (cosh.f64 x) (pow.f64 (/.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(*.f64 #s(literal -2 binary64) (neg.f64 (cosh.f64 x)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64)))
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(*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 x) #s(literal -2 binary64)))
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(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
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(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))))
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(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (sinh.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
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(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sinh.f64 x))))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 x) #s(literal 4 binary64)))))))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 9 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 6 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) #s(literal -1 binary64)) (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x #s(literal 3 binary64))))))
(exp.f64 x)
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(exp.f64 (fma.f64 x #s(literal 3 binary64) (-.f64 (neg.f64 x) x)))
(exp.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal 1 binary64))
(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)) (neg.f64 x))
(pow.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3/2 binary64))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (-.f64 (neg.f64 x) x)))
(*.f64 (exp.f64 (+.f64 x x)) (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 x #s(literal -3 binary64))))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.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))

simplify413.0ms (4.7%)

Memory
38.0MiB live, 545.7MiB allocated
Algorithm
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
iter limit
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)

eval133.0ms (1.5%)

Memory
-22.9MiB live, 101.0MiB allocated
Compiler

Compiled 8 941 to 1 537 computations (82.8% saved)

prune91.0ms (1%)

Memory
-8.6MiB live, 147.1MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4817488
Fresh000
Picked101
Done000
Total4827489
Accuracy
100.0%
Counts
489 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.7%
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
93.1%
(/.f64 #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)))
90.4%
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
80.9%
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
41.4%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x))))))))
100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
52.3%
#s(literal 1 binary64)
Compiler

Compiled 146 to 92 computations (37% saved)

simplify79.0ms (0.9%)

Memory
31.7MiB live, 107.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
cost-diff0
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
cost-diff0
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
cost-diff0
(/.f64 #s(literal 2 binary64) (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
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
(cosh.f64 x)
cost-diff0
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Rules
1 200×lower-fma.f32
1 192×lower-fma.f64
648×lower-*.f32
644×lower-*.f64
232×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01576
02876
15373
29073
311073
412573
513573
618773
724873
835273
944473
1054373
1165773
1289773
13116473
14127173
15132973
16137273
17140373
18141873
19142073
0142070
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.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) (fma.f64 x x #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x x #s(literal 2 binary64))
x
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
#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)
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
#s(literal 1 binary64)
(cosh.f64 x)
x
#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) (fma.f64 x x #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 x x #s(literal 2 binary64))
x
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
#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)

localize67.0ms (0.8%)

Memory
12.1MiB live, 160.7MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
accuracy99.9%
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
accuracy99.8%
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
accuracy100.0%
(fma.f64 x x #s(literal 2 binary64))
accuracy99.3%
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
accuracy100.0%
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(cosh.f64 x)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Samples
46.0ms256×0valid
Compiler

Compiled 86 to 20 computations (76.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 10.0ms (35.2% of total)
ival-mult: 7.0ms (24.7% of total)
ival-add: 5.0ms (17.6% of total)
const: 4.0ms (14.1% of total)
ival-cosh: 3.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series60.0ms (0.7%)

Memory
-13.2MiB live, 21.5MiB allocated
Counts
10 → 120
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (cosh.f64 x))>
#<alt (cosh.f64 x)>
#<alt (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))>
#<alt (fma.f64 x x #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (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 x x) #s(literal 1/12 binary64))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt (/ 2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))>
#<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 (* -1/12 (pow x 2)))) 1/2)))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<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 (* 1/12 (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))>
Calls

30 calls:

TimeVariablePointExpression
52.0ms
x
@-inf
(/ 1 (cosh x))
2.0ms
x
@inf
(/ 1 (cosh x))
1.0ms
x
@inf
(+ (* x (+ (* x (* (* x x) 1/12)) x)) 2)
0.0ms
x
@inf
(/ 2 (+ (* x (+ (* x (* (* x x) 1/12)) x)) 2))
0.0ms
x
@inf
(+ (* -1/2 (* x x)) 1)

rewrite464.0ms (5.3%)

Memory
-14.5MiB live, 838.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 862×lower-fma.f32
9 854×lower-fma.f64
5 486×lower-*.f32
5 482×lower-*.f64
3 636×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01562
02862
112359
279959
3791359
0861756
Stop Event
iter limit
node limit
iter limit
Counts
10 → 547
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(cosh.f64 x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(/.f64 #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 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 x x) #s(literal 1/12 binary64))
Outputs
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (cosh.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (cosh.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (cosh.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 (neg.f64 x) (neg.f64 x)))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x))))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (cosh.f64 x)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (cosh.f64 x)))
(cosh.f64 x)
(neg.f64 (neg.f64 (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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cosh.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 (neg.f64 x) (neg.f64 x))))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 (neg.f64 x) (neg.f64 x)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64))) (pow.f64 (cosh.f64 x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(pow.f64 (cosh.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 x))
(*.f64 (cosh.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 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))
(*.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x)))
(*.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.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))
(fma.f64 x (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 x (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/512 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/512 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
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(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))))
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x x))))
(*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x x)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x x)) (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x x))))
(*.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))))
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x x)))))
(*.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) x)))
(*.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) x)) (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) x))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)))) (*.f64 x (*.f64 (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))) (*.f64 x (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)))))) (*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/2985984 binary64)))) (fma.f64 (*.f64 x (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)))) (-.f64 (*.f64 x (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/20736 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))))))) (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))))))
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) x)) (fma.f64 #s(literal 1/1728 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x))))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))))
(*.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)

simplify338.0ms (3.8%)

Memory
30.7MiB live, 540.8MiB allocated
Algorithm
egg-herbie
Rules
10 846×lower-fma.f64
10 846×lower-fma.f32
4 380×lower-*.f64
4 380×lower-*.f32
2 170×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117942
1314912
2775912
32183908
45845908
08388842
Stop Event
iter limit
node limit
Counts
120 → 119
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 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/ 2 (pow x 2))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
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 (* -1/12 (pow x 2)))) 1/2)))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
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))))
(* 1/12 (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))
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 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 (*.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))
(* 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 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 x x)))) (*.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (- 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (* 4 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -4 binary64) (*.f64 x x)))) (*.f64 x x))
(/ (- (+ 2 (/ 8 (pow x 4))) (+ (* 4 (/ 1 (pow x 2))) (* 16 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 #s(literal -16 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 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 (* -1/12 (pow x 2)))) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -27648 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -27648 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x (*.f64 x x))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* 1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* 1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))

eval111.0ms (1.3%)

Memory
-31.8MiB live, 147.0MiB allocated
Compiler

Compiled 21 402 to 1 738 computations (91.9% saved)

prune79.0ms (0.9%)

Memory
15.9MiB live, 174.9MiB allocated
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New67610686
Fresh022
Picked145
Done000
Total67716693
Accuracy
100.0%
Counts
693 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.7%
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
41.3%
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
57.3%
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
90.4%
(/.f64 #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))))
90.4%
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
93.1%
(/.f64 #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)))
90.4%
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))
80.9%
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
54.1%
(/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -16 binary64)) (*.f64 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)))))
41.4%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x))))))))
41.6%
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
41.3%
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
32.1%
(/.f64 #s(literal 2 binary64) (*.f64 x x))
93.1%
(/.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)))
100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
52.3%
#s(literal 1 binary64)
Compiler

Compiled 435 to 253 computations (41.8% saved)

simplify73.0ms (0.8%)

Memory
-8.1MiB live, 66.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(/.f64 #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))))
cost-diff320
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))
cost-diff0
(*.f64 (*.f64 x #s(literal 1/12 binary64)) x)
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
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
cost-diff0
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
cost-diff0
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
cost-diff320
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 x x))
cost-diff0
(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))
cost-diff0
(*.f64 x x)
cost-diff0
(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))
cost-diff0
(/.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)))
Rules
1 062×lower-fma.f32
1 048×lower-fma.f64
478×lower-*.f32
462×lower-*.f64
254×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027199
053182
1115178
2238176
3430176
4591176
5616176
6747176
7754176
8762176
9763176
0763171
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.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)))
#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 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 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)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
#s(literal 2 binary64)
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
x
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))
#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) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))))
#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)))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(fma.f64 x x #s(literal 2 binary64))
Outputs
(/.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)))
#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 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 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)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
#s(literal 2 binary64)
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
x
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
(/.f64 #s(literal 2 binary64) (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) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
#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 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
x
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) 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) (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 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))
#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 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(fma.f64 x x #s(literal 2 binary64))

localize109.0ms (1.2%)

Memory
4.2MiB live, 202.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))
accuracy99.8%
(*.f64 x (*.f64 x x))
accuracy99.8%
(/.f64 #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))))
accuracy99.4%
(*.f64 x #s(literal 1/12 binary64))
accuracy99.9%
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)
accuracy99.9%
(*.f64 (*.f64 x #s(literal 1/12 binary64)) x)
accuracy99.8%
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))
accuracy99.4%
(*.f64 x #s(literal 1/12 binary64))
accuracy99.9%
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
accuracy99.9%
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
accuracy99.8%
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.2%
(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy100.0%
(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))
accuracy99.9%
(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))
accuracy99.9%
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
accuracy99.7%
(*.f64 x #s(literal 1/720 binary64))
Samples
65.0ms256×0valid
Compiler

Compiled 220 to 35 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 21.0ms (43.1% of total)
ival-div: 10.0ms (20.5% of total)
const: 9.0ms (18.5% of total)
ival-add: 7.0ms (14.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-18.6MiB live, 18.0MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#<alt (/.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)))>
#<alt (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))>
#<alt (*.f64 x x)>
#<alt (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))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 x x))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))>
#<alt (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))>
#<alt (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))>
#<alt (*.f64 (*.f64 x x) #s(literal 1/12 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (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 (*.f64 x #s(literal 1/12 binary64)) x)>
#<alt (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))>
#<alt (/.f64 #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))))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (*.f64 x #s(literal 1/720 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))>
#<alt (*.f64 x #s(literal 1/12 binary64))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<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 1/2>
#<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 (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ 24 (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 (* 1/12 (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 (* 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>
#<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 (* -1/12 (pow x 2)))) 1/2)))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<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 (* 1/12 (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>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt (* 1/720 x)>
#<alt 1/24>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (+ 1/24 (* 1/720 (pow x 2)))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/720 (pow x 2))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* 1/12 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)>
Calls

57 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ 1 (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) 1))
0.0ms
x
@0
(/ 2 (* x (* x (* (* x x) 1/12))))
0.0ms
x
@0
(/ 2 (* x x))
0.0ms
x
@-inf
(* x 1/720)
0.0ms
x
@-inf
(* x (* (* x x) 1/12))

rewrite438.0ms (5%)

Memory
35.9MiB live, 634.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 686×lower-fma.f32
7 672×lower-fma.f64
4 056×lower-/.f32
4 048×lower-/.f64
3 968×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027167
053150
1236146
21655146
08163141
Stop Event
iter limit
node limit
iter limit
Counts
19 → 623
Calls
Call 1
Inputs
(/.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)))
(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)
(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 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(/.f64 #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 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 (*.f64 x #s(literal 1/12 binary64)) 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 2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 x (*.f64 x x))
(*.f64 x #s(literal 1/720 binary64))
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(*.f64 x #s(literal 1/12 binary64))
Outputs
(exp.f64 (*.f64 (log1p.f64 (*.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 0 binary64) (/.f64 #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 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (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 (*.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 (*.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 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (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 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) (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 (*.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 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (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 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 (*.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))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (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 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (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 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(neg.f64 (/.f64 #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 #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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.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)))))
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(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 2 binary64))))) (-.f64 (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x))) #s(literal 8 binary64))) (-.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x))) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)))))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)) #s(literal -4 binary64))) (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (fma.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)))
(*.f64 x #s(literal 1/720 binary64))
(*.f64 #s(literal 1/720 binary64) x)
(+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) #s(literal 1/24 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(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 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 (*.f64 x #s(literal 1/720 binary64)) x #s(literal 1/24 binary64))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 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))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x 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 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))
(/.f64 (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 1/576 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
(/.f64 (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 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (*.f64 (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 (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 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))) (*.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x 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) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))))
(*.f64 (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 1/576 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(*.f64 (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))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) x)

simplify327.0ms (3.7%)

Memory
6.8MiB live, 600.7MiB allocated
Algorithm
egg-herbie
Rules
10 948×lower-fma.f64
10 948×lower-fma.f32
3 404×lower-*.f64
3 404×lower-*.f32
2 350×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01161628
13301586
27971578
320811570
457231570
083231475
Stop Event
iter limit
node limit
Counts
228 → 227
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)))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
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)
1/2
(+ 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))))))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (pow x 4))
(/ 24 (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))
(* 1/12 (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))
(* 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
(+ 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 (* -1/12 (pow x 2)))) 1/2)))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
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))))
(* 1/12 (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
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -1/12 (pow x 2)))) 1/2)))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
(* 1/720 x)
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/12 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)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -61/720 binary64)) #s(literal 5/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x)))) (/.f64 #s(literal -4406400 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x)))) (/.f64 #s(literal -4406400 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x 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 (*.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 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 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))))))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(* 1/720 (pow x 6))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/720 binary64))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 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))))))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) 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)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 x (*.f64 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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 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))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 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 (* -1/12 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -288 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -27648 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -288 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -27648 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x (*.f64 x x))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* 1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* 1/12 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
(* (pow x 4) (+ 1/12 (+ (/ 1 (pow x 2)) (/ 2 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))
1
#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 (* -1/12 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -288 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -27648 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 24 (pow x 4))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -288 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 24 (/ 2880 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 27648 (/ 1 (pow x 6))))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -288 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 2880 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -27648 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.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))
(pow x 3)
(*.f64 x (*.f64 x x))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
(* 1/720 x)
(*.f64 x #s(literal 1/720 binary64))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.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))
(* 1/12 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))

eval140.0ms (1.6%)

Memory
-5.4MiB live, 239.9MiB allocated
Compiler

Compiled 28 490 to 1 898 computations (93.3% saved)

prune99.0ms (1.1%)

Memory
-19.8MiB live, 218.0MiB allocated
Pruning

28 alts after pruning (21 fresh and 7 done)

PrunedKeptTotal
New94816964
Fresh257
Picked235
Done044
Total95228980
Accuracy
100.0%
Counts
980 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.7%
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
31.5%
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
42.5%
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
43.9%
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
41.3%
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
57.3%
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
90.4%
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))
80.9%
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
54.1%
(/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -16 binary64)) (*.f64 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)))))
41.4%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x))))))))
41.3%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))
41.3%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x))
41.6%
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
41.3%
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))
32.1%
(/.f64 #s(literal 2 binary64) (*.f64 x x))
93.1%
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x 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))))
57.3%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
93.1%
(/.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)))
54.0%
(/.f64 #s(literal 1 binary64) (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 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
64.6%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
93.0%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
56.9%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
92.9%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
92.9%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1 binary64)))
43.9%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/720 binary64)))
44.0%
(/.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)))))))
100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
52.3%
#s(literal 1 binary64)
Compiler

Compiled 976 to 514 computations (47.3% saved)

simplify257.0ms (2.9%)

Memory
-26.7MiB live, 348.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff128
(-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))
cost-diff128
(-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))))
cost-diff0
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
cost-diff0
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
cost-diff0
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
cost-diff0
(/.f64 #s(literal 2 binary64) x)
cost-diff384
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x 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))))
cost-diff640
(fma.f64 (fma.f64 (*.f64 x 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)))
Rules
6 902×lower-fma.f32
6 888×lower-fma.f64
3 696×lower-*.f32
3 672×lower-*.f64
1 492×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038371
074344
1165317
2388312
31077312
42261312
54834312
08198295
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x 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))))
#s(literal 1 binary64)
(fma.f64 (fma.f64 (*.f64 x 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 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
#s(literal 2 binary64)
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
x
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
x
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(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)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))))
(/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))
(-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))
#s(literal 1/24 binary64)
(*.f64 x (*.f64 x #s(literal 1/720 binary64)))
(*.f64 x #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
(-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))
#s(literal 1/576 binary64)
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/518400 binary64))
#s(literal 1/518400 binary64)
#s(literal 1/2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x 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))))
(/.f64 #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)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 (*.f64 x 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 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 (*.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)
x
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x)))
#s(literal 2 binary64)
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x))
x
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x)
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
(/.f64 #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))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #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))) #s(literal 1 binary64))
(*.f64 x x)
x
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(*.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))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 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) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))))
(/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))) #s(literal 1/576 binary64)))
(-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(*.f64 x (*.f64 x #s(literal 1/720 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(*.f64 x #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
(-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/518400 binary64))) #s(literal 1/576 binary64))
#s(literal 1/576 binary64)
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/518400 binary64))
#s(literal 1/518400 binary64)
#s(literal 1/2 binary64)

localize178.0ms (2%)

Memory
31.7MiB live, 301.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/720 binary64)))
accuracy99.7%
(*.f64 x #s(literal 1/720 binary64))
accuracy99.2%
(*.f64 (*.f64 x x) #s(literal 1/518400 binary64))
accuracy62.2%
(/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))
accuracy100.0%
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64))
accuracy99.9%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
accuracy99.7%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
accuracy99.6%
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
accuracy99.9%
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
accuracy99.9%
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
accuracy99.7%
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
accuracy100.0%
(/.f64 #s(literal 2 binary64) x)
accuracy99.9%
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x 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))))
accuracy100.0%
(*.f64 x (*.f64 x (*.f64 x x)))
accuracy99.8%
(*.f64 x (*.f64 x x))
accuracy99.6%
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
Samples
86.0ms256×0valid
Compiler

Compiled 396 to 47 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 26.0ms (41.7% of total)
const: 14.0ms (22.5% of total)
ival-div: 13.0ms (20.9% of total)
ival-add: 7.0ms (11.2% of total)
ival-sub: 2.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory
-25.0MiB live, 16.7MiB allocated
Counts
24 → 288
Calls
Call 1
Inputs
#<alt (fma.f64 (fma.f64 (*.f64 x 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)))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x 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))))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 (/.f64 #s(literal 2 binary64) x) x)>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))>
#<alt (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))>
#<alt (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)>
#<alt (*.f64 (*.f64 x x) #s(literal 1/12 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64))>
#<alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))))>
#<alt (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))>
#<alt (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (*.f64 x (*.f64 x (*.f64 x x)))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))>
#<alt (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))>
#<alt (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))>
#<alt (*.f64 x #s(literal 1/720 binary64))>
#<alt (*.f64 x (*.f64 x #s(literal 1/720 binary64)))>
Outputs
#<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 (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<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 (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 (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 (pow x 2))>
#<alt (/ (+ 2 (* -1/6 (pow x 2))) (pow x 2))>
#<alt (/ (+ 2 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6))) (pow x 2))>
#<alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/864 (pow x 2)))) 1/6))) (pow x 2))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (/ 24 (pow x 4))>
#<alt (/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (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))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (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))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<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 (* 1/12 (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>
#<alt (+ 1 (* -1/24 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (- (* -1/720 (pow x 2)) 1/24)))>
#<alt (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* 1/576 (pow x 2)) 1/720)) 1/24)))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19958400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19958400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt 1>
#<alt (+ 1 (* 1/24 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (+ 1/24 (* 1/720 (pow x 2)))))>
#<alt (+ 1 (* (pow x 4) (+ 1/24 (* 1/720 (pow x 2)))))>
#<alt (* 1/720 (pow x 6))>
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (* 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 (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/720 (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))>
#<alt (* (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 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/720 (* 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 (* 1/24 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 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 1/24>
#<alt (+ 1/24 (* -1/720 (pow x 2)))>
#<alt (+ 1/24 (* -1/720 (pow x 2)))>
#<alt (+ 1/24 (* -1/720 (pow x 2)))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt 1/576>
#<alt (+ 1/576 (* -1/518400 (pow x 4)))>
#<alt (+ 1/576 (* -1/518400 (pow x 4)))>
#<alt (+ 1/576 (* -1/518400 (pow x 4)))>
#<alt (* -1/518400 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))>
#<alt (* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))>
#<alt (* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))>
#<alt (* -1/518400 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))>
#<alt (* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))>
#<alt (* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))>
#<alt 1>
#<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 (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 720 (pow x 6))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))>
#<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 (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 1/24 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 24>
#<alt (+ 24 (* -4/5 (pow x 2)))>
#<alt (+ 24 (* (pow x 2) (- (* 2/75 (pow x 2)) 4/5)))>
#<alt (+ 24 (* (pow x 2) (- (* (pow x 2) (+ 2/75 (* -1/1125 (pow x 2)))) 4/5)))>
#<alt (/ 720 (pow x 2))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19440000 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 720 (pow x 2))>
#<alt (/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19440000 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (* 1/518400 (pow x 2))>
#<alt (* 1/518400 (pow x 2))>
#<alt (* 1/518400 (pow x 2))>
#<alt (* 1/518400 (pow x 2))>
#<alt (* 1/518400 (pow x 2))>
#<alt (* 1/518400 (pow x 2))>
#<alt (* 1/518400 (pow x 2))>
#<alt (* 1/518400 (pow x 2))>
#<alt (* 1/518400 (pow x 2))>
#<alt (* 1/518400 (pow x 2))>
#<alt (* 1/518400 (pow x 2))>
#<alt (* 1/518400 (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)>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
#<alt (* 1/720 (pow x 2))>
Calls

72 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/ 1 (/ (- 1/24 (* x (* x 1/720))) (- 1/576 (* (* x x) (* (* x x) 1/518400)))))
0.0ms
x
@-inf
(* x (+ (* (* x x) 1/720) 1/24))
0.0ms
x
@inf
(/ 1 (/ (- 1/24 (* x (* x 1/720))) (- 1/576 (* (* x x) (* (* x x) 1/518400)))))
0.0ms
x
@inf
(/ 1 (+ (* (* x x) (+ (* (* x x) (/ 1 (/ (- 1/24 (* x (* x 1/720))) (- 1/576 (* (* x x) (* (* x x) 1/518400)))))) 1/2)) 1))
0.0ms
x
@inf
(+ (* (* x x) (* x (* x (+ (* (* x x) 1/720) 1/24)))) 1)

rewrite455.0ms (5.2%)

Memory
18.3MiB live, 844.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 744×lower-fma.f32
5 730×lower-fma.f64
5 630×lower-*.f32
5 606×lower-*.f64
5 348×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038260
074215
1326192
22468192
09210185
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 202
Calls
Call 1
Inputs
(fma.f64 (fma.f64 (*.f64 x 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)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x 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 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 x x)
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) (*.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 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))))
(-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))
(-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 x (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))
(*.f64 (*.f64 x x) #s(literal 1/518400 binary64))
(*.f64 x #s(literal 1/720 binary64))
(*.f64 x (*.f64 x #s(literal 1/720 binary64)))
Outputs
(+.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 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))
(+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 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))
(exp.f64 (neg.f64 (*.f64 (log1p.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 #s(literal 0 binary64) (/.f64 (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)))
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(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64)))))
(*.f64 x (*.f64 x #s(literal 1/518400 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/518400 binary64))
(*.f64 #s(literal 1/518400 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/518400 binary64)) x)
(*.f64 x #s(literal 1/720 binary64))
(*.f64 #s(literal 1/720 binary64) x)
(*.f64 x (*.f64 x #s(literal 1/720 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/720 binary64)) x)

simplify378.0ms (4.3%)

Memory
28.2MiB live, 626.8MiB allocated
Algorithm
egg-herbie
Rules
11 616×lower-fma.f64
11 616×lower-fma.f32
3 664×lower-*.f64
3 664×lower-*.f32
2 814×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01922190
15032154
211892130
331852130
463412130
081742011
Stop Event
iter limit
node limit
Counts
288 → 287
Calls
Call 1
Inputs
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)))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
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)))))
(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)
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 (pow x 2))
(/ (+ 2 (* -1/6 (pow x 2))) (pow x 2))
(/ (+ 2 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6))) (pow x 2))
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/864 (pow x 2)))) 1/6))) (pow x 2))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))
(/ 24 (pow x 4))
(/ (- 24 (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (* 288 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 24 (/ 3456 (pow x 4))) (+ (* 288 (/ 1 (pow x 2))) (* 41472 (/ 1 (pow x 6))))) (pow x 4))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 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))))
(* (pow x 4) (+ 1/12 (/ 1 (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))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
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))))
(* 1/12 (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
(+ 1 (* -1/24 (pow x 4)))
(+ 1 (* (pow x 4) (- (* -1/720 (pow x 2)) 1/24)))
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* 1/576 (pow x 2)) 1/720)) 1/24)))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19958400 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19958400 (/ 1 (pow x 6))))) (pow x 6))
1
(+ 1 (* 1/24 (pow x 4)))
(+ 1 (* (pow x 4) (+ 1/24 (* 1/720 (pow x 2)))))
(+ 1 (* (pow x 4) (+ 1/24 (* 1/720 (pow x 2)))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/720 (+ (* 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 (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/720 (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))
(* (pow x 2) (+ 1/24 (* 1/720 (pow x 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 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/720 (* 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 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 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)))))
1/24
(+ 1/24 (* -1/720 (pow x 2)))
(+ 1/24 (* -1/720 (pow x 2)))
(+ 1/24 (* -1/720 (pow x 2)))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
1/576
(+ 1/576 (* -1/518400 (pow x 4)))
(+ 1/576 (* -1/518400 (pow x 4)))
(+ 1/576 (* -1/518400 (pow x 4)))
(* -1/518400 (pow x 4))
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(* -1/518400 (pow x 4))
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
1
(+ 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)))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/ 720 (pow x 6))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(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 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 1/24 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)))))
24
(+ 24 (* -4/5 (pow x 2)))
(+ 24 (* (pow x 2) (- (* 2/75 (pow x 2)) 4/5)))
(+ 24 (* (pow x 2) (- (* (pow x 2) (+ 2/75 (* -1/1125 (pow x 2)))) 4/5)))
(/ 720 (pow x 2))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19440000 (/ 1 (pow x 6))))) (pow x 2))
(/ 720 (pow x 2))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19440000 (/ 1 (pow x 6))))) (pow x 2))
(* 1/518400 (pow x 2))
(* 1/518400 (pow x 2))
(* 1/518400 (pow x 2))
(* 1/518400 (pow x 2))
(* 1/518400 (pow x 2))
(* 1/518400 (pow x 2))
(* 1/518400 (pow x 2))
(* 1/518400 (pow x 2))
(* 1/518400 (pow x 2))
(* 1/518400 (pow x 2))
(* 1/518400 (pow x 2))
(* 1/518400 (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)
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
(* 1/720 (pow x 2))
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) (+ 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 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/720 (pow x 6))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x 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 (*.f64 x 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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x 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 (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 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))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -4406400 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -4406400 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
1/24
#s(literal 1/24 binary64)
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1/576
#s(literal 1/576 binary64)
(+ 1/576 (* -1/518400 (pow x 4)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))
(+ 1/576 (* -1/518400 (pow x 4)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))
(+ 1/576 (* -1/518400 (pow x 4)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))
(* -1/518400 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))
(* -1/518400 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64))
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))
(* (pow x 4) (- (* 1/576 (/ 1 (pow x 4))) 1/518400))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/518400 binary64) #s(literal 1/576 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 5/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 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))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -4406400 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ 720 (pow x 6))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (- (+ 720 (/ 388800 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 4406400 (/ 1 (pow x 6))))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 388800 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -4406400 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.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))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* 1/720 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* 1/720 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
24
#s(literal 24 binary64)
(+ 24 (* -4/5 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -4/5 binary64)) #s(literal 24 binary64))
(+ 24 (* (pow x 2) (- (* 2/75 (pow x 2)) 4/5)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/75 binary64)) #s(literal -4/5 binary64)) #s(literal 24 binary64))
(+ 24 (* (pow x 2) (- (* (pow x 2) (+ 2/75 (* -1/1125 (pow x 2)))) 4/5)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/1125 binary64) #s(literal 2/75 binary64))) #s(literal -4/5 binary64)) #s(literal 24 binary64))
(/ 720 (pow x 2))
(/.f64 #s(literal 720 binary64) (*.f64 x x))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 648000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x)))) (*.f64 x x))
(/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19440000 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 648000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -19440000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ 720 (pow x 2))
(/.f64 #s(literal 720 binary64) (*.f64 x x))
(/ (- 720 (* 21600 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 720 (/ 648000 (pow x 4))) (* 21600 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 720 binary64) (+.f64 (/.f64 #s(literal 648000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600 binary64) (*.f64 x x)))) (*.f64 x x))
(/ (- (+ 720 (/ 648000 (pow x 4))) (+ (* 21600 (/ 1 (pow x 2))) (* 19440000 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 648000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -19440000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(* 1/518400 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/518400 binary64)))
(* 1/518400 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/518400 binary64)))
(* 1/518400 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/518400 binary64)))
(* 1/518400 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/518400 binary64)))
(* 1/518400 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/518400 binary64)))
(* 1/518400 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/518400 binary64)))
(* 1/518400 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/518400 binary64)))
(* 1/518400 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/518400 binary64)))
(* 1/518400 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/518400 binary64)))
(* 1/518400 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/518400 binary64)))
(* 1/518400 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/518400 binary64)))
(* 1/518400 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/518400 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))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))

eval335.0ms (3.8%)

Memory
-5.8MiB live, 541.7MiB allocated
Compiler

Compiled 76 075 to 5 735 computations (92.5% saved)

prune201.0ms (2.3%)

Memory
-10.0MiB live, 445.9MiB allocated
Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New1 76071 767
Fresh7916
Picked415
Done077
Total1 771241 795
Accuracy
100.0%
Counts
1 795 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.7%
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
31.5%
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
42.5%
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
43.9%
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
43.9%
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
41.3%
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
90.4%
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))
80.9%
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
41.4%
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x))))))))
41.3%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))
41.3%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x))
41.6%
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)))
41.3%
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))
32.1%
(/.f64 #s(literal 2 binary64) (*.f64 x x))
92.9%
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))
57.3%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
93.1%
(/.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)))
52.1%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/1125 binary64) #s(literal 2/75 binary64))) #s(literal -4/5 binary64)) #s(literal 24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
96.0%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
92.9%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
43.9%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
44.0%
(/.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)))))))
100.0%
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
52.3%
#s(literal 1 binary64)
Compiler

Compiled 1 068 to 393 computations (63.2% saved)

regimes62.0ms (0.7%)

Memory
-6.3MiB live, 67.8MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 2 binary64) (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) (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) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 #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))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/720 binary64)))
(/.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 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #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 #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)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x 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))))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/1125 binary64) #s(literal 2/75 binary64))) #s(literal -4/5 binary64)) #s(literal 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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -16 binary64)) (*.f64 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (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 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) #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 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x))))))))
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
Calls

3 calls:

41.0ms
x
11.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
9.0ms
(/.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)

regimes53.0ms (0.6%)

Memory
21.6MiB live, 65.5MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 2 binary64) (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) (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) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 #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))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/720 binary64)))
(/.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 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #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 #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)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x 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))))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/1125 binary64) #s(literal 2/75 binary64))) #s(literal -4/5 binary64)) #s(literal 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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -16 binary64)) (*.f64 (fma.f64 x x #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (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 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
Calls

3 calls:

32.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
10.0ms
x
8.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
96.0%1x
96.0%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
96.0%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes41.0ms (0.5%)

Memory
-1.8MiB live, 37.1MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 2 binary64) (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) (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) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 #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))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/720 binary64)))
(/.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 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #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 #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)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x 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))))
(/.f64 (+.f64 #s(literal 720 binary64) (/.f64 #s(literal -21600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/1125 binary64) #s(literal 2/75 binary64))) #s(literal -4/5 binary64)) #s(literal 24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
Outputs
(/.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)))
Calls

3 calls:

25.0ms
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
93.1%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
93.1%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
93.1%1x
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes38.0ms (0.4%)

Memory
-18.7MiB live, 20.5MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 2 binary64) (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) (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) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 #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))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/720 binary64)))
(/.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 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
Calls

3 calls:

26.0ms
x
6.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
6.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
93.0%1x
93.0%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
93.0%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes43.0ms (0.5%)

Memory
-5.0MiB live, 33.6MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 2 binary64) (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) (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) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 #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))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/720 binary64)))
(/.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 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
Calls

3 calls:

7.0ms
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
92.9%1x
92.9%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
92.9%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes18.0ms (0.2%)

Memory
28.9MiB live, 28.9MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 2 binary64) (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) (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) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 #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))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/720 binary64)))
(/.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 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 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
92.9%1x
92.9%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
92.9%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes37.0ms (0.4%)

Memory
-26.4MiB live, 14.5MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 2 binary64) (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) (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) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 #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))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/720 binary64)))
(/.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)))))))
Outputs
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))
(/.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)))))))
Calls

3 calls:

25.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms
x
5.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
93.1%2x
93.1%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
93.1%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes17.0ms (0.2%)

Memory
16.1MiB live, 16.1MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 2 binary64) (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) (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) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/.f64 #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))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/720 binary64)))
Outputs
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))
(/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
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
93.1%2x
93.1%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
93.1%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes63.0ms (0.7%)

Memory
-16.8MiB live, 22.3MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
(/.f64 #s(literal 2 binary64) (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) (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) (fma.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x) #s(literal 2 binary64)))
Outputs
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))
Calls

3 calls:

55.0ms
x
4.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
90.4%1x
90.4%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
90.4%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes11.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
Outputs
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)))
Calls

3 calls:

4.0ms
x
3.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
90.4%2x
90.4%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
90.4%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes10.0ms (0.1%)

Memory
10.7MiB live, 10.6MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) x))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))
Outputs
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
Calls

3 calls:

3.0ms
x
3.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
3.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
90.4%2x
90.4%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
90.4%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
Outputs
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
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
80.9%1x
80.9%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
80.9%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes34.0ms (0.4%)

Memory
-27.7MiB live, 9.6MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
Outputs
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
Calls

3 calls:

30.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms
x
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
80.9%2x
80.9%2(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
80.9%2(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0%)

Memory
7.6MiB live, 7.6MiB allocated
Accuracy

Total -0.4b remaining (-1.5%)

Threshold costs -0.4b (-1.5%)

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

3 calls:

1.0ms
x
1.0ms
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
52.3%1x
52.3%1(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
52.3%1(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.917203561343907
+inf
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.917203561343907
+inf
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0000000000002576
5.917203561343907
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.917203561343907
+inf
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0000000000002576
5.917203561343907
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify11.0ms (0.1%)

Memory
15.0MiB live, 15.0MiB allocated
Algorithm
egg-herbie
Rules
42×*-commutative_binary64
14×+-commutative_binary64
12×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073263
1101263
2115263
3127263
4133263
5136263
6137263
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 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 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) (/.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))))))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(literal 1 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 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 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) (/.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))))))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) (/.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))))))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) #s(literal 2 binary64))) (/.f64 #s(literal 720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 2 binary64) (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) (fma.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x))))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 10 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64))) (/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(literal 1 binary64)

soundness2.2s (25.5%)

Memory
-4.9MiB live, 1 078.4MiB allocated
Rules
15 580×lower-fma.f64
15 580×lower-fma.f32
11 616×lower-fma.f64
11 616×lower-fma.f32
10 948×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0721
01217
14215
225715
3237015
0906415
038260
074215
1326192
22468192
09210185
01922190
15032154
211892130
331852130
463412130
081742011
01562
02862
112359
279959
3791359
0861756
066307
1162306
2359302
3921302
41406302
52068302
63397302
74663302
85970302
97535302
08007280
01161628
13301586
27971578
320811570
457231570
083231475
027167
053150
1236146
21655146
08163141
0117942
1314912
2775912
32183908
45845908
08388842
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 728 to 349 computations (52.1% saved)

preprocess120.0ms (1.4%)

Memory
-16.9MiB live, 105.0MiB allocated
Remove

(abs x)

Compiler

Compiled 566 to 176 computations (68.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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