expax (section 3.5)

Time bar (total: 1.6s)

start0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze21.0ms (1.3%)

Memory
3.6MiB live, 49.6MiB allocated; 9ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%99.9%0.1%0.0%0.0%0.0%0
0.0%0.0%99.9%0.1%0.0%0.0%0.0%1
0.0%0.0%99.9%0.1%0.0%0.0%0.0%2
50.0%50.0%50.0%0.1%0.0%0.0%0.0%3
50.0%50.0%50.0%0.1%0.0%0.0%0.0%4
62.5%62.4%37.5%0.1%0.0%0.0%0.0%5
66.7%62.4%31.2%0.1%0.0%6.2%0.0%6
75.9%68.7%21.9%0.1%0.0%9.4%0.0%7
80.0%68.7%17.2%0.1%0.0%14.0%0.0%8
86.0%71.8%11.7%0.1%0.0%16.4%0.0%9
88.9%71.8%9.0%0.1%0.0%19.1%0.0%10
92.4%73.4%6.0%0.1%0.0%20.5%0.0%11
94.1%73.4%4.6%0.1%0.0%22.0%0.0%12
Compiler

Compiled 12 to 7 computations (41.7% saved)

sample552.0ms (33.8%)

Memory
13.8MiB live, 1 004.9MiB allocated; 172ms collecting garbage
Samples
350.0ms8 256×0valid
25.0ms302×0invalid
Precisions
Click to see histograms. Total time spent on operations: 163.0ms
ival-expm1: 79.0ms (48.6% of total)
ival-mult!: 67.0ms (41.2% of total)
ival->: 15.0ms (9.2% of total)
adjust: 2.0ms (1.2% of total)
ival-assert: 0.0ms (0.0% of total)
Bogosity

preprocess27.0ms (1.6%)

Memory
-3.7MiB live, 42.9MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01940
16440
213440
360840
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.9%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Symmetry

(sort a x)

Compiler

Compiled 12 to 12 computations (0.0% saved)

sample0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
Outputs
#s(literal 1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series11.0ms (0.7%)

Memory
18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080272
Stop Event
iter-limit
Counts
6 → 17
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 1 binary64)
Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (fma.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))))))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x)))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx a a)
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (exp (* a x)) (exp.f64 (*.f64 a x)))
#s(approx (- (exp (* a x)) 1) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
#s(approx (- (exp (* a x)) 1) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (- (exp (* a x)) 1) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))))))))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx x x)
Calls

6 calls:

TimeVariablePoint
1.0ms
a
-inf
1.0ms
a
0
1.0ms
a
inf
1.0ms
x
-inf
1.0ms
x
0

rewrite119.0ms (7.3%)

Memory
11.6MiB live, 201.7MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
0916
14016
212216
355216
0405114
Stop Event
iter-limit
node-limit
iter-limit
Counts
6 → 366
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 1 binary64)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 x a)) (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 x a))))) (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 x a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)))) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cosh.f64 (*.f64 x a)) #s(literal 1 binary64)) (sinh.f64 (*.f64 x a)))) (sinh.f64 (*.f64 x a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 (neg.f64 x) a)) (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 x a))))) (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 x a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 (*.f64 x a))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x a))) (sinh.f64 (*.f64 x a)))) (sinh.f64 (*.f64 x a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 x a))) (cosh.f64 (*.f64 x a)))) (cosh.f64 (*.f64 x a)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x a)))) (expm1.f64 (*.f64 x a)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x a)))) (cosh.f64 (*.f64 x a)))
(*.f64 (fma.f64 (exp.f64 (*.f64 x a)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a)))) (exp.f64 (*.f64 x a)))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 x) a))) (exp.f64 (*.f64 x a)))
(/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 x a))) #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))))) #s(literal -2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)) #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))))) #s(literal -2 binary64))
(/.f64 (fma.f64 (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (cosh.f64 (*.f64 x a)) #s(literal 2 binary64) (fma.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 (*.f64 x a)) #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 (*.f64 x a)) #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal 2 binary64) #s(literal -4 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (exp.f64 (*.f64 x a)) #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 x a))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (sinh.f64 (*.f64 x a)) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x a))) #s(literal 4 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (expm1.f64 (*.f64 x a)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x a)) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (fma.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (fma.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)) #s(literal -2 binary64)) #s(literal -2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal 2 binary64) #s(literal -4 binary64)) #s(literal -2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))) #s(literal 4 binary64))) #s(literal -8 binary64))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal 2 binary64) #s(literal -4 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 4 binary64))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 (fma.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 (fma.f64 (cosh.f64 (*.f64 x a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))))) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))))) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (fma.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (fma.f64 (cosh.f64 (*.f64 x a)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64))) #s(literal -2 binary64))) #s(literal -8 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal 2 binary64))) #s(literal -2 binary64))) #s(literal -8 binary64))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))))) #s(literal -2 binary64))) #s(literal -8 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))))) #s(literal -2 binary64))) #s(literal -8 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))) #s(literal 2 binary64) (*.f64 (fma.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))) #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)) #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))) #s(literal 4 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal 2 binary64) #s(literal -4 binary64)) #s(literal -2 binary64))) #s(literal -8 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64) (*.f64 (fma.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 4 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal 2 binary64) #s(literal -4 binary64)) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 x a))) (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 x a)))) (*.f64 (sinh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a)))) (-.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 x a))) (sinh.f64 (*.f64 x a))))
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(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 1/2 binary64) (sinh.f64 (*.f64 x a)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (cosh.f64 (*.f64 x a)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x a)))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 x a)) #s(literal 1 binary64)) (sinh.f64 (*.f64 x a)))
(-.f64 (sinh.f64 (*.f64 x a)) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))) #s(literal 1/2 binary64)))
(-.f64 (sinh.f64 (*.f64 x a)) (neg.f64 (cosh.f64 (*.f64 x a))))
(-.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 (neg.f64 x) a)))
(sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a))))
(fabs.f64 (neg.f64 (exp.f64 (*.f64 x a))))
(fabs.f64 (exp.f64 (*.f64 x a)))
(exp.f64 (/.f64 (fma.f64 x a (*.f64 x a)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 x a (*.f64 x a)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 x (+.f64 a a)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(exp.f64 (neg.f64 (*.f64 (neg.f64 x) a)))
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(exp.f64 (*.f64 x a))
(+.f64 (/.f64 (*.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 (*.f64 x a)))
(+.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 x a)) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 (*.f64 x a)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64)) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))) #s(literal 2 binary64)) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))) #s(literal 4 binary64)))
(+.f64 (sinh.f64 (*.f64 x a)) (neg.f64 (neg.f64 (cosh.f64 (*.f64 x a)))))
(+.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))
(+.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a)))
(*.f64 x a)
(*.f64 a x)
a
x
#s(literal 1 binary64)

eval52.0ms (3.2%)

Memory
12.3MiB live, 63.3MiB allocated; 33ms collecting garbage
Compiler

Compiled 7 059 to 1 088 computations (84.6% saved)

prune12.0ms (0.7%)

Memory
-36.6MiB live, 11.0MiB allocated; 6ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3727379
Fresh000
Picked101
Done000
Total3737380
Accuracy
100.0%
Counts
380 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(/.f64 (-.f64 (*.f64 (expm1.f64 (*.f64 x a)) (expm1.f64 (*.f64 x a))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (expm1.f64 (*.f64 x a)))
54.9%
(-.f64 (sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a)))) #s(literal 1 binary64))
23.5%
(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
21.3%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
63.0%
#s(approx (- (exp (* a x)) 1) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
67.8%
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
Compiler

Compiled 158 to 118 computations (25.3% saved)

sample0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
Outputs
#s(literal 1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series17.0ms (1.0%)

Memory
15.1MiB live, 15.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0223989
Stop Event
iter-limit
Counts
17 → 41
Calls
Call 1
Inputs
(expm1.f64 (*.f64 x a))
(*.f64 x a)
x
a
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(*.f64 a x)
(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x)))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(-.f64 (sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a)))) #s(literal 1 binary64))
(sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a))))
(exp.f64 (*.f64 x (+.f64 a a)))
(*.f64 x (+.f64 a a))
(+.f64 a a)
Outputs
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
#s(approx (- (exp (* x a)) 1) (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (exp (* x a)) 1) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (exp (* x a)) 1) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (fma.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))))))
#s(approx a a)
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x)))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (sqrt (exp (* x (+ a a)))) 1) (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (sqrt (exp (* x (+ a a)))) 1) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (sqrt (exp (* x (+ a a)))) 1) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))))))
#s(approx (sqrt (exp (* x (+ a a)))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (exp (* x (+ a a)))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (exp (* x (+ a a))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a x))))
#s(approx (exp (* x (+ a a))) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (exp (* x (+ a a))) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 #s(literal 2 binary64) x (*.f64 a (fma.f64 #s(literal 4/3 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* x (+ a a)) (*.f64 #s(literal 2 binary64) (*.f64 a x)))
#s(approx (+ a a) (*.f64 #s(literal 2 binary64) a))
#s(approx (- (exp (* x a)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (exp (* a x)) (exp.f64 (*.f64 a x)))
#s(approx (+ 1 (* a x)) (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))))
#s(approx (- (sqrt (exp (* x (+ a a)))) 1) (-.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 a x)))) #s(literal 1 binary64)))
#s(approx (sqrt (exp (* x (+ a a)))) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 a x)))))
#s(approx (exp (* x (+ a a))) (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 a x))))
#s(approx (+ 1 (* a x)) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (- (exp (* x a)) 1) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
#s(approx (- (exp (* x a)) 1) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (- (exp (* x a)) 1) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))))))))))
#s(approx x x)
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (- (sqrt (exp (* x (+ a a)))) 1) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (- (sqrt (exp (* x (+ a a)))) 1) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (- (sqrt (exp (* x (+ a a)))) 1) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 a #s(literal 4 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 a (-.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))))))))))))
#s(approx (sqrt (exp (* x (+ a a)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (sqrt (exp (* x (+ a a)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64))) (pow.f64 a #s(literal 2 binary64))))))))))
#s(approx (exp (* x (+ a a))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 2 binary64) a (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))))
#s(approx (exp (* x (+ a a))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 2 binary64) a (*.f64 x (fma.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x) (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (+ 1 (* a x)) (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 (* a x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) x)))))
Calls

6 calls:

TimeVariablePoint
2.0ms
a
0
2.0ms
x
-inf
1.0ms
a
inf
1.0ms
x
0
1.0ms
a
-inf

rewrite117.0ms (7.2%)

Memory
4.8MiB live, 96.0MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02094
03287
118484
249284
3162284
0415281
Stop Event
iter-limit
node-limit
iter-limit
Counts
17 → 539
Calls
Call 1
Inputs
(expm1.f64 (*.f64 x a))
(*.f64 x a)
x
a
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(*.f64 a x)
(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x)))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(-.f64 (sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a)))) #s(literal 1 binary64))
(sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a))))
(exp.f64 (*.f64 x (+.f64 a a)))
(*.f64 x (+.f64 a a))
(+.f64 a a)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 a x)))) (cosh.f64 (*.f64 a x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))) (exp.f64 (*.f64 a x)))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 x) a))) (exp.f64 (*.f64 a x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 a a) x))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 2 binary64)) (*.f64 (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)))) (-.f64 (cosh.f64 (*.f64 a x)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (exp.f64 (fma.f64 a x (*.f64 (+.f64 a a) x)))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x)) (-.f64 (*.f64 (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64))) (*.f64 (cosh.f64 (*.f64 a x)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
(/.f64 (+.f64 (exp.f64 (fma.f64 a x (*.f64 (+.f64 a a) x))) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (exp.f64 (fma.f64 a x (*.f64 (+.f64 a a) x))) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(neg.f64 (neg.f64 (expm1.f64 (*.f64 a x))))
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(fma.f64 (exp.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x)) (*.f64 (exp.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x))))
(fma.f64 (exp.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x)) (*.f64 (exp.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x))))
(-.f64 (sinh.f64 (*.f64 (+.f64 a a) x)) (neg.f64 (cosh.f64 (*.f64 (+.f64 a a) x))))
(-.f64 (cosh.f64 (*.f64 (+.f64 a a) x)) (sinh.f64 (*.f64 #s(literal -2 binary64) (*.f64 a x))))
(sqrt.f64 (exp.f64 (*.f64 (+.f64 a a) (+.f64 x x))))
(fabs.f64 (-.f64 (neg.f64 (cosh.f64 (*.f64 (+.f64 a a) x))) (sinh.f64 (*.f64 (+.f64 a a) x))))
(fabs.f64 (/.f64 (neg.f64 (exp.f64 (*.f64 a x))) (exp.f64 (*.f64 (neg.f64 x) a))))
(fabs.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 a a) x))))
(fabs.f64 (exp.f64 (*.f64 (+.f64 a a) x)))
(exp.f64 (-.f64 (*.f64 (*.f64 a #s(literal 1 binary64)) x) (*.f64 (neg.f64 x) a)))
(exp.f64 (/.f64 (fma.f64 (+.f64 x x) a (*.f64 (+.f64 a a) x)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 (+.f64 x x) a (*.f64 (+.f64 a a) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (fma.f64 (*.f64 a #s(literal 1 binary64)) x (*.f64 (*.f64 a #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (fma.f64 (*.f64 a #s(literal 1 binary64)) x (*.f64 a x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (fma.f64 a x (*.f64 (*.f64 a #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (*.f64 a #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 a x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x x))) a))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (+.f64 a a) (+.f64 x x)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 a x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (*.f64 a #s(literal 1 binary64)) x (*.f64 (*.f64 a #s(literal 1 binary64)) x)))
(exp.f64 (fma.f64 (*.f64 a #s(literal 1 binary64)) x (*.f64 a x)))
(exp.f64 (fma.f64 a x (*.f64 (*.f64 a #s(literal 1 binary64)) x)))
(exp.f64 (*.f64 (*.f64 (*.f64 a #s(literal 1 binary64)) x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 a a))) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) (+.f64 a a)))
(exp.f64 (*.f64 (+.f64 a a) x))
(+.f64 (cosh.f64 (fma.f64 (*.f64 a #s(literal 1 binary64)) x (*.f64 (*.f64 a #s(literal 1 binary64)) x))) (sinh.f64 (fma.f64 (*.f64 a #s(literal 1 binary64)) x (*.f64 (*.f64 a #s(literal 1 binary64)) x))))
(+.f64 (cosh.f64 (fma.f64 (*.f64 a #s(literal 1 binary64)) x (*.f64 a x))) (sinh.f64 (fma.f64 (*.f64 a #s(literal 1 binary64)) x (*.f64 a x))))
(+.f64 (cosh.f64 (fma.f64 a x (*.f64 (*.f64 a #s(literal 1 binary64)) x))) (sinh.f64 (fma.f64 a x (*.f64 (*.f64 a #s(literal 1 binary64)) x))))
(+.f64 (cosh.f64 (*.f64 (*.f64 (*.f64 a #s(literal 1 binary64)) x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 (*.f64 a #s(literal 1 binary64)) x) #s(literal 2 binary64))))
(+.f64 (+.f64 (sinh.f64 (*.f64 (+.f64 a a) x)) (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 2 binary64))) (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64)))
(+.f64 (+.f64 (cosh.f64 (*.f64 (+.f64 a a) x)) (*.f64 (sinh.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x)))) (*.f64 (sinh.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x))))
(+.f64 (*.f64 (exp.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x))) (*.f64 (exp.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x))))
(+.f64 (*.f64 (exp.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x))) (*.f64 (exp.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x))))
(+.f64 (*.f64 (sinh.f64 (*.f64 a x)) (exp.f64 (*.f64 a x))) (*.f64 (cosh.f64 (*.f64 a x)) (exp.f64 (*.f64 a x))))
(+.f64 (*.f64 (cosh.f64 (*.f64 a x)) (exp.f64 (*.f64 a x))) (*.f64 (sinh.f64 (*.f64 a x)) (exp.f64 (*.f64 a x))))
(+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64)) (sinh.f64 (*.f64 (+.f64 a a) x))))
(+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64)) (sinh.f64 (*.f64 #s(literal -2 binary64) (*.f64 a x)))))
(+.f64 (*.f64 (sinh.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x))) (fma.f64 (sinh.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x)) (cosh.f64 (*.f64 (+.f64 a a) x))))
(+.f64 (sinh.f64 (*.f64 (+.f64 a a) x)) (cosh.f64 (*.f64 (+.f64 a a) x)))
(+.f64 (cosh.f64 (*.f64 (+.f64 a a) x)) (sinh.f64 (*.f64 (+.f64 a a) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) a) (*.f64 a x))) (*.f64 a x))
(*.f64 (+.f64 x x) a)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) (*.f64 a x))) (*.f64 a x))
(*.f64 #s(literal 2 binary64) (*.f64 a x))
(*.f64 (+.f64 a a) x)
(*.f64 (*.f64 a x) #s(literal 2 binary64))
(*.f64 a (+.f64 x x))
(*.f64 x (+.f64 a a))
(/.f64 (-.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 (*.f64 (neg.f64 x) a) (*.f64 (neg.f64 x) a))) (+.f64 (*.f64 a x) (*.f64 (neg.f64 x) a)))
(/.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) a) #s(literal 3 binary64))) (fma.f64 (*.f64 a x) (*.f64 a x) (fma.f64 (*.f64 (neg.f64 x) a) (*.f64 (neg.f64 x) a) (*.f64 (*.f64 a x) (*.f64 (neg.f64 x) a)))))
(/.f64 (-.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 (*.f64 a x) (*.f64 a x))) (-.f64 (*.f64 a x) (*.f64 a x)))
(/.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (pow.f64 (*.f64 a x) #s(literal 3 binary64))) (fma.f64 (*.f64 a x) (*.f64 a x) (-.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 (*.f64 a x) (*.f64 a x)))))
(neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 a x)))
(fma.f64 (neg.f64 (neg.f64 x)) a (*.f64 a x))
(fma.f64 (neg.f64 x) (neg.f64 a) (*.f64 a x))
(fma.f64 (neg.f64 a) (neg.f64 x) (*.f64 a x))
(fma.f64 a (neg.f64 (neg.f64 x)) (*.f64 a x))
(fma.f64 a x (*.f64 a x))
(fma.f64 x a (*.f64 a x))
(-.f64 (*.f64 a x) (*.f64 (neg.f64 x) a))
(+.f64 (*.f64 a x) (*.f64 a x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) a)) a)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a a)) a)
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (neg.f64 a) (neg.f64 a))) (+.f64 a (neg.f64 a)))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 a (neg.f64 a)))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 a a)) (-.f64 a a))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))
(neg.f64 (-.f64 (neg.f64 a) a))
(fma.f64 #s(literal 2 binary64) (/.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 1 binary64)))
(fma.f64 (+.f64 a a) #s(literal 1/2 binary64) (*.f64 a #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) a (*.f64 #s(literal 1 binary64) a))
(fma.f64 a #s(literal 1 binary64) (*.f64 a #s(literal 1 binary64)))
(-.f64 a (neg.f64 a))
(+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) a))
(+.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64)))
(+.f64 a a)

eval51.0ms (3.1%)

Memory
10.7MiB live, 60.3MiB allocated; 6ms collecting garbage
Compiler

Compiled 10 280 to 1 977 computations (80.8% saved)

prune14.0ms (0.8%)

Memory
-31.8MiB live, 15.0MiB allocated; 3ms collecting garbage
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New5133516
Fresh112
Picked145
Done000
Total5158523
Accuracy
100.0%
Counts
523 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(/.f64 (-.f64 (*.f64 (expm1.f64 (*.f64 x a)) (expm1.f64 (*.f64 x a))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (expm1.f64 (*.f64 x a)))
54.9%
(-.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))
54.9%
(-.f64 (sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a)))) #s(literal 1 binary64))
23.5%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
21.3%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
63.0%
#s(approx (- (exp (* x a)) 1) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
67.8%
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
Compiler

Compiled 88 to 67 computations (23.9% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
2
1
(exp 1/2)
(* 0 0)
0
Outputs
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 1856295125090727/1125899906842624 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
Samples
0.0ms0valid
Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series19.0ms (1.2%)

Memory
18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0202811
Stop Event
iter-limit
Counts
26 → 42
Calls
Call 1
Inputs
#s(approx (- (exp (* x a)) 1) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
x
(+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
a
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 a #s(literal 2 binary64)) x)
(pow.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (+.f64 a a) x))
(exp.f64 #s(literal 1/2 binary64))
(*.f64 (+.f64 a a) x)
(+.f64 a a)
(/.f64 (-.f64 (*.f64 (expm1.f64 (*.f64 x a)) (expm1.f64 (*.f64 x a))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (expm1.f64 (*.f64 x a)))
(-.f64 (*.f64 (expm1.f64 (*.f64 x a)) (expm1.f64 (*.f64 x a))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (expm1.f64 (*.f64 x a)) (expm1.f64 (*.f64 x a)))
(expm1.f64 (*.f64 x a))
(*.f64 x a)
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
#s(approx (- (exp (* x a)) 1) (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (exp (* x a)) 1) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (exp (* x a)) 1) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (fma.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))))))
#s(approx (+ a (* 1/2 (* (pow a 2) x))) a)
#s(approx (+ a (* 1/2 (* (pow a 2) x))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x)))))
#s(approx (* 1/2 (* (pow a 2) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
#s(approx (* (pow a 2) x) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
#s(approx (pow a 2) (pow.f64 a #s(literal 2 binary64)))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x)))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* (+ a a) x) (*.f64 #s(literal 2 binary64) (*.f64 a x)))
#s(approx (+ a a) (*.f64 #s(literal 2 binary64) a))
#s(approx (- (* (- (exp (* x a)) 1) (- (exp (* x a)) 1)) (* 0 0)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (* (- (exp (* x a)) 1) (- (exp (* x a)) 1)) (* 0 0)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 a (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- (* (- (exp (* x a)) 1) (- (exp (* x a)) 1)) (* 0 0)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- (* (- (exp (* x a)) 1) (- (exp (* x a)) 1)) (* 0 0)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 a (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5 binary64))))))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- (exp (* x a)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (* x (+ a (* 1/2 (* (pow a 2) x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x (+ a (* 1/2 (* (pow a 2) x)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a))))
#s(approx (+ a (* 1/2 (* (pow a 2) x))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) a))))
#s(approx (exp (* a x)) (exp.f64 (*.f64 a x)))
#s(approx (+ (* x a) 1) (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))))
#s(approx (- (* (- (exp (* x a)) 1) (- (exp (* x a)) 1)) (* 0 0)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
#s(approx (+ (* x a) 1) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (- (exp (* x a)) 1) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
#s(approx (- (exp (* x a)) 1) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (- (exp (* x a)) 1) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))))))))))
#s(approx x x)
#s(approx (+ a (* 1/2 (* (pow a 2) x))) (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (- (* (- (exp (* x a)) 1) (- (exp (* x a)) 1)) (* 0 0)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 a #s(literal 3 binary64)) x (pow.f64 a #s(literal 2 binary64)))))
#s(approx (- (* (- (exp (* x a)) 1) (- (exp (* x a)) 1)) (* 0 0)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal 2 binary64)))))
#s(approx (- (* (- (exp (* x a)) 1) (- (exp (* x a)) 1)) (* 0 0)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 5 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 5 binary64))))))) (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal 2 binary64)))))
#s(approx (* x (+ a (* 1/2 (* (pow a 2) x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x))))
#s(approx (+ a (* 1/2 (* (pow a 2) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x))))
#s(approx (+ (* x a) 1) (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ a (* 1/2 (* (pow a 2) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 a x) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (+ (* x a) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) x)))))
Calls

6 calls:

TimeVariablePoint
2.0ms
x
-inf
2.0ms
a
-inf
2.0ms
a
0
2.0ms
x
0
2.0ms
a
inf

rewrite126.0ms (7.7%)

Memory
22.8MiB live, 113.8MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031153
051145
1239145
2809123
04282120
Stop Event
iter-limit
node-limit
iter-limit
Counts
26 → 1 524
Calls
Call 1
Inputs
#s(approx (- (exp (* x a)) 1) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
x
(+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
a
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 a #s(literal 2 binary64)) x)
(pow.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (+.f64 a a) x))
(exp.f64 #s(literal 1/2 binary64))
(*.f64 (+.f64 a a) x)
(+.f64 a a)
(/.f64 (-.f64 (*.f64 (expm1.f64 (*.f64 x a)) (expm1.f64 (*.f64 x a))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (expm1.f64 (*.f64 x a)))
(-.f64 (*.f64 (expm1.f64 (*.f64 x a)) (expm1.f64 (*.f64 x a))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (expm1.f64 (*.f64 x a)) (expm1.f64 (*.f64 x a)))
(expm1.f64 (*.f64 x a))
(*.f64 x a)
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a a) x) x)) (*.f64 a x))) (*.f64 a x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) #s(literal 1/2 binary64)) (*.f64 a x))) (*.f64 a x))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(*.f64 x (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 a a) x) x)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) #s(literal 1/2 binary64)) (*.f64 a x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) x) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a a) x) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a a) x) x)))) (+.f64 (*.f64 a x) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a a) x) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 a x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 a a) x) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) #s(literal 1/2 binary64)) (*.f64 a x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a a) x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 a x) (*.f64 a x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a a) x) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a a) x) x)) (*.f64 (*.f64 a x) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a a) x) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) x) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) #s(literal 1/2 binary64)))) (-.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 a x) (*.f64 a x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) #s(literal 1/2 binary64))))))
(neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) x)) a) x))
(neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) x)) a)))
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a a) x) x)) (*.f64 a x)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x)) a (*.f64 a x))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 a a) (*.f64 a x))
(fma.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) x)) (*.f64 a a) (*.f64 a x))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) (*.f64 a x) (*.f64 a x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 a (*.f64 x x)) (*.f64 a x))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 a x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 a a) x) (*.f64 a x))
(fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 a x))
(fma.f64 (*.f64 (*.f64 (*.f64 a a) x) x) #s(literal 1/2 binary64) (*.f64 a x))
(fma.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x (*.f64 a x))
(fma.f64 (*.f64 (*.f64 a a) x) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x))
(fma.f64 (*.f64 a a) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 a x))
(fma.f64 (*.f64 a a) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 a x))
(fma.f64 (*.f64 a a) (*.f64 x (*.f64 #s(literal 1/2 binary64) x)) (*.f64 a x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a a) x) x) (*.f64 a x))
(fma.f64 (*.f64 a x) (*.f64 a (*.f64 #s(literal 1/2 binary64) x)) (*.f64 a x))
(fma.f64 a (*.f64 (*.f64 a x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 a x))
(fma.f64 a x (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))))
(fma.f64 a x (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (*.f64 a x))
(fma.f64 x a (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))))
(fma.f64 x a (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 a) x))
(-.f64 (*.f64 a x) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 a a) x) x)))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) #s(literal 1/2 binary64)) (*.f64 a x))
(+.f64 (*.f64 a x) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))))
(+.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) x) #s(literal 1/2 binary64)))
x
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) x)) a)) a)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) a)) a)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))) (*.f64 a a)) (+.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))) (*.f64 a a)) (-.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) a))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (+.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (neg.f64 a)))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) x)))) (+.f64 a (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) a))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) x)) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) x)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) x))))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))) (-.f64 a (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))) (*.f64 a (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))))))
(neg.f64 (-.f64 (neg.f64 a) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))))
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) x)) a))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fabs.f64 a)) (fabs.f64 a) a)
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 a)) (neg.f64 a) a)
(fma.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) a)) a a)
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a a)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a a)
(fma.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 a) x) a)) #s(literal 1/2 binary64) a)
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 a x) a)
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 (*.f64 a a)) a)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 a a) a)
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (neg.f64 x) a)
(fma.f64 (*.f64 (*.f64 (neg.f64 a) x) a) #s(literal -1/2 binary64) a)
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 #s(literal 1/2 binary64) x)) a)
(fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 x)) a)
(fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x a)
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 a) x) a) a)
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) x)) a)
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a)
(fma.f64 (*.f64 a a) (*.f64 #s(literal 1/2 binary64) x) a)
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 a) x) a)) a)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x) a)
(fma.f64 (*.f64 a x) (*.f64 #s(literal 1/2 binary64) a) a)
(fma.f64 a (*.f64 a (*.f64 #s(literal 1/2 binary64) x)) a)
(fma.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) a)
(fma.f64 x (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) a)
(-.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (neg.f64 a))
(-.f64 a (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) x)))
(+.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) a)
(+.f64 a (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))
a
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fabs.f64 a)) (fabs.f64 a))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 a)) (neg.f64 a))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) a)) a)
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a)
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)
(*.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 a) x) a)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 a x))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 (*.f64 a a)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 a a))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (neg.f64 x))
(*.f64 (*.f64 (*.f64 (neg.f64 a) x) a) #s(literal -1/2 binary64))
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 x)))
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 a) x) a))
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 a a) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 a) x) a)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x))
(*.f64 (*.f64 a x) (*.f64 #s(literal 1/2 binary64) a))
(*.f64 a (*.f64 a (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) x)))
#s(literal 1/2 binary64)
(*.f64 (*.f64 x (fabs.f64 a)) (fabs.f64 a))
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) x))
(*.f64 (*.f64 (neg.f64 a) x) (neg.f64 a))
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) x))
(*.f64 (*.f64 a a) x)
(*.f64 (*.f64 a x) a)
(*.f64 a (*.f64 a x))
(*.f64 x (*.f64 a a))
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(*.f64 (pow.f64 a #s(literal 1 binary64)) a)
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (pow.f64 a (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 a (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 a a)
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(/.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 a) a))
(neg.f64 (*.f64 a (neg.f64 a)))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))
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(/.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) (copysign.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 a x))) #s(literal -1 binary64))
(/.f64 (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x)))
(/.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(neg.f64 (neg.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (fma.f64 a x #s(literal 0 binary64)))
(expm1.f64 (*.f64 #s(literal 1 binary64) (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x))))) (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) (-.f64 (neg.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x))) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 a x)))) (cosh.f64 (*.f64 a x)) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x)))) (expm1.f64 (*.f64 a x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x)))) (/.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (fabs.f64 (expm1.f64 (*.f64 a x)))) (/.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (copysign.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (expm1.f64 (*.f64 a x))) (/.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))) (/.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) (/.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) (/.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) (*.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x)))) (/.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) (fabs.f64 (expm1.f64 (*.f64 a x)))) (expm1.f64 (*.f64 a x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) (neg.f64 (expm1.f64 (*.f64 a x)))) (/.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))) (/.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) (/.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (fabs.f64 (expm1.f64 (*.f64 a x)))) (/.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (copysign.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))) (/.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) (*.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x)))) (neg.f64 (expm1.f64 (*.f64 a x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (expm1.f64 (*.f64 a x)) (*.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x)))) (/.f64 (expm1.f64 (*.f64 a x)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (expm1.f64 (*.f64 a x)) (fabs.f64 (expm1.f64 (*.f64 a x)))) (/.f64 (expm1.f64 (*.f64 a x)) (copysign.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) #s(literal 0 binary64))
(fma.f64 (copysign.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (/.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (copysign.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (/.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (copysign.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (fabs.f64 (expm1.f64 (*.f64 a x))) #s(literal 0 binary64))
(fma.f64 (*.f64 (expm1.f64 (*.f64 a x)) (exp.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal -1 binary64))
(fma.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (*.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (*.f64 a x))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x))) (*.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x))) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))) (exp.f64 (*.f64 a x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x)))) (expm1.f64 (*.f64 a x)) #s(literal 0 binary64))
(fma.f64 (-.f64 (neg.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (/.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (expm1.f64 (*.f64 a x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (/.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) (neg.f64 (expm1.f64 (*.f64 a x)))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a x))) #s(literal 1/2 binary64) (+.f64 (cosh.f64 (*.f64 a x)) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a x))) #s(literal 1/2 binary64) (-.f64 (cosh.f64 (*.f64 a x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a x))) #s(literal 1/2 binary64) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (*.f64 a x))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (/.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (*.f64 (expm1.f64 (*.f64 a x)) (exp.f64 (*.f64 a x))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (*.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (*.f64 a x))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) x))) (exp.f64 (*.f64 a x)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x))) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) (*.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x)))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) (*.f64 (copysign.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (copysign.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) (copysign.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (*.f64 (expm1.f64 (*.f64 a x)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (expm1.f64 (*.f64 a x))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal 0 binary64))
(fma.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64))
(-.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 a x))) (sinh.f64 (*.f64 (neg.f64 a) x)))
(-.f64 (+.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 a x))))
(-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x))))
(-.f64 (sinh.f64 (*.f64 a x)) (-.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 a x))))
(-.f64 (cosh.f64 (*.f64 a x)) (-.f64 (sinh.f64 (*.f64 (neg.f64 a) x)) #s(literal -1 binary64)))
(-.f64 (cosh.f64 (*.f64 a x)) (+.f64 (sinh.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64)))
(-.f64 (cosh.f64 (*.f64 a x)) (neg.f64 (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 (*.f64 a x))))
(-.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) (sinh.f64 (*.f64 a x))) (cosh.f64 (*.f64 a x)))
(+.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 #s(literal 1 binary64) (*.f64 a x)))) (sinh.f64 (*.f64 #s(literal 1 binary64) (*.f64 a x))))
(+.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 a x))) (sinh.f64 (*.f64 a x)))
(+.f64 (-.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (*.f64 (expm1.f64 (*.f64 a x)) (exp.f64 (*.f64 a x)))) #s(literal -1 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (*.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (*.f64 a x)))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 a x))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(+.f64 (*.f64 (*.f64 (expm1.f64 (*.f64 a x)) (exp.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) #s(literal -1 binary64))
(+.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (*.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (*.f64 a x))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(+.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(+.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 a x)) (exp.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x))) #s(literal -1 binary64))
(+.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (*.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (*.f64 a x))))) (expm1.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(+.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 a x)))) (expm1.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(+.f64 (cosh.f64 (*.f64 #s(literal 1 binary64) (*.f64 a x))) (+.f64 (sinh.f64 (*.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 #s(literal 1 binary64) (*.f64 a x))) (-.f64 (sinh.f64 (*.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 0 binary64)))
(+.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal 0 binary64)))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))
(+.f64 (sinh.f64 (*.f64 a x)) (+.f64 (cosh.f64 (*.f64 a x)) #s(literal -1 binary64)))
(+.f64 (sinh.f64 (*.f64 a x)) (-.f64 (cosh.f64 (*.f64 a x)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 (*.f64 a x)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x)))
(+.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(*.f64 a x)
(*.f64 x a)
#s(literal 0 binary64)
#s(literal 0 binary64)

eval83.0ms (5.1%)

Memory
1.5MiB live, 95.3MiB allocated; 11ms collecting garbage
Compiler

Compiled 19 461 to 2 595 computations (86.7% saved)

prune18.0ms (1.1%)

Memory
-24.5MiB live, 21.4MiB allocated; 3ms collecting garbage
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New8474851
Fresh000
Picked314
Done044
Total8509859
Accuracy
100.0%
Counts
859 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(/.f64 (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 x a)))
54.9%
(-.f64 (pow.f64 #s(literal 1856295125090727/1125899906842624 binary64) (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))
54.8%
(-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 a x)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 a x))) #s(literal 1 binary64))
54.9%
(-.f64 (sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a)))) #s(literal 1 binary64))
23.5%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
21.3%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
67.5%
#s(approx (- (exp (* x a)) 1) (*.f64 x (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a a)))
67.8%
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
Compiler

Compiled 97 to 72 computations (25.8% saved)

sample0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
(exp 1/2)
1
1856295125090727/1125899906842624
Outputs
#s(literal 1/2 binary64)
#s(literal 1856295125090727/1125899906842624 binary64)
#s(literal 1 binary64)
#s(literal 1856295125090727/1125899906842624 binary64)
Samples
0.0ms0valid
Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series28.0ms (1.7%)

Memory
32.4MiB live, 32.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03561617
Stop Event
iter-limit
Counts
24 → 63
Calls
Call 1
Inputs
#s(approx (- (exp (* x a)) 1) (*.f64 x (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a a)))
(*.f64 x (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a a))
x
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a a)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) a)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
a
(-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 a x)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 a x))) #s(literal 1 binary64))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 a x)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 a x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 a x))
(exp.f64 #s(literal 1/2 binary64))
(*.f64 a x)
#s(literal 1 binary64)
(-.f64 (pow.f64 #s(literal 1856295125090727/1125899906842624 binary64) (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))
(pow.f64 #s(literal 1856295125090727/1125899906842624 binary64) (*.f64 (+.f64 a a) x))
#s(literal 1856295125090727/1125899906842624 binary64)
(*.f64 (+.f64 a a) x)
(+.f64 a a)
(/.f64 (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 x a)))
(*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 x a))
(*.f64 x a)
Outputs
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
#s(approx (- (exp (* x a)) 1) (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (exp (* x a)) 1) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (exp (* x a)) 1) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (fma.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))))))
#s(approx (+ (* (* (* 1/2 x) a) a) a) a)
#s(approx (+ (* (* (* 1/2 x) a) a) a) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x)))))
#s(approx (* (* 1/2 x) a) (*.f64 #s(literal 1/2 binary64) (*.f64 a x)))
#s(approx (- (* (pow (exp 1/2) (* a x)) (pow (exp 1/2) (* a x))) 1) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))))))))
#s(approx (- (* (pow (exp 1/2) (* a x)) (pow (exp 1/2) (* a x))) 1) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 a (fma.f64 #s(literal 1/192 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 4 binary64))))))))))))))
#s(approx (* (pow (exp 1/2) (* a x)) (pow (exp 1/2) (* a x))) #s(literal 1 binary64))
#s(approx (* (pow (exp 1/2) (* a x)) (pow (exp 1/2) (* a x))) (+.f64 #s(literal 1 binary64) (*.f64 a x)))
#s(approx (* (pow (exp 1/2) (* a x)) (pow (exp 1/2) (* a x))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (pow (exp 1/2) (* a x)) (pow (exp 1/2) (* a x))) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))))))))
#s(approx (pow (exp 1/2) (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
#s(approx (pow (exp 1/2) (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 #s(literal 1/8 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x)))))
#s(approx (pow (exp 1/2) (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 #s(literal 1/2 binary64) x (*.f64 a (fma.f64 #s(literal 1/48 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (pow 1856295125090727/1125899906842624 (* (+ a a) x)) 1) (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 x (log.f64 #s(literal 1856295125090727/1125899906842624 binary64))))))
#s(approx (- (pow 1856295125090727/1125899906842624 (* (+ a a) x)) 1) (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1856295125090727/1125899906842624 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 x (log.f64 #s(literal 1856295125090727/1125899906842624 binary64)))))))
#s(approx (- (pow 1856295125090727/1125899906842624 (* (+ a a) x)) 1) (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 x (log.f64 #s(literal 1856295125090727/1125899906842624 binary64))) (*.f64 a (fma.f64 #s(literal 4/3 binary64) (*.f64 a (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1856295125090727/1125899906842624 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1856295125090727/1125899906842624 binary64)) #s(literal 2 binary64)))))))))
#s(approx (- (pow 1856295125090727/1125899906842624 (* (+ a a) x)) 1) (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 x (log.f64 #s(literal 1856295125090727/1125899906842624 binary64))) (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1856295125090727/1125899906842624 binary64)) #s(literal 2 binary64))) (*.f64 a (fma.f64 #s(literal 2/3 binary64) (*.f64 a (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (log.f64 #s(literal 1856295125090727/1125899906842624 binary64)) #s(literal 4 binary64)))) (*.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1856295125090727/1125899906842624 binary64)) #s(literal 3 binary64)))))))))))
#s(approx (pow 1856295125090727/1125899906842624 (* (+ a a) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 x (log.f64 #s(literal 1856295125090727/1125899906842624 binary64)))))))
#s(approx (pow 1856295125090727/1125899906842624 (* (+ a a) x)) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 a (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1856295125090727/1125899906842624 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 x (log.f64 #s(literal 1856295125090727/1125899906842624 binary64))))))))
#s(approx (pow 1856295125090727/1125899906842624 (* (+ a a) x)) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 x (log.f64 #s(literal 1856295125090727/1125899906842624 binary64))) (*.f64 a (fma.f64 #s(literal 4/3 binary64) (*.f64 a (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1856295125090727/1125899906842624 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1856295125090727/1125899906842624 binary64)) #s(literal 2 binary64))))))))))
#s(approx (* (+ a a) x) (*.f64 #s(literal 2 binary64) (*.f64 a x)))
#s(approx (+ a a) (*.f64 #s(literal 2 binary64) a))
#s(approx (* (- (exp (* a x)) 1) (- (exp (* a x)) 1)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (- (exp (* a x)) 1) (- (exp (* a x)) 1)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 a (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (- (exp (* a x)) 1) (- (exp (* a x)) 1)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (- (exp (* a x)) 1) (- (exp (* a x)) 1)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 a (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5 binary64))))))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- (exp (* x a)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (* x (+ (* (* (* 1/2 x) a) a) a)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x (+ (* (* (* 1/2 x) a) a) a)) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a))))
#s(approx (+ (* (* (* 1/2 x) a) a) a) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
#s(approx (+ (* (* (* 1/2 x) a) a) a) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) a))))
#s(approx (- (* (pow (exp 1/2) (* a x)) (pow (exp 1/2) (* a x))) 1) (-.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x))) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (* (pow (exp 1/2) (* a x)) (pow (exp 1/2) (* a x))) (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x))) #s(literal 2 binary64)))
#s(approx (pow (exp 1/2) (* a x)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x))))
#s(approx (- (pow 1856295125090727/1125899906842624 (* (+ a a) x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 x (log.f64 #s(literal 1856295125090727/1125899906842624 binary64)))))))
#s(approx (pow 1856295125090727/1125899906842624 (* (+ a a) x)) (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 a (*.f64 x (log.f64 #s(literal 1856295125090727/1125899906842624 binary64)))))))
#s(approx (* (- (exp (* a x)) 1) (- (exp (* a x)) 1)) (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 2 binary64)))
#s(approx (- (exp (* x a)) 1) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
#s(approx (- (exp (* x a)) 1) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (- (exp (* x a)) 1) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))))))))))
#s(approx x x)
#s(approx (+ (* (* (* 1/2 x) a) a) a) (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (* (pow (exp 1/2) (* a x)) (pow (exp 1/2) (* a x))) 1) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64))))))))))
#s(approx (- (* (pow (exp 1/2) (* a x)) (pow (exp 1/2) (* a x))) 1) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal 1/192 binary64) (pow.f64 a #s(literal 4 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 1/48 binary64) (pow.f64 a #s(literal 4 binary64))))))))))))))
#s(approx (* (pow (exp 1/2) (* a x)) (pow (exp 1/2) (* a x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))))
#s(approx (* (pow (exp 1/2) (* a x)) (pow (exp 1/2) (* a x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)))))))))))
#s(approx (pow (exp 1/2) (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) a)))))
#s(approx (pow (exp 1/2) (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) a (*.f64 x (fma.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x) (*.f64 #s(literal 1/8 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (- (pow 1856295125090727/1125899906842624 (* (+ a a) x)) 1) (*.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 a (log.f64 #s(literal 1856295125090727/1125899906842624 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x (pow.f64 (log.f64 #s(literal 1856295125090727/1125899906842624 binary64)) #s(literal 2 binary64))))))))
#s(approx (- (pow 1856295125090727/1125899906842624 (* (+ a a) x)) 1) (*.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 a (log.f64 #s(literal 1856295125090727/1125899906842624 binary64))) (*.f64 x (fma.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 x (pow.f64 (log.f64 #s(literal 1856295125090727/1125899906842624 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1856295125090727/1125899906842624 binary64)) #s(literal 2 binary64)))))))))
#s(approx (- (pow 1856295125090727/1125899906842624 (* (+ a a) x)) 1) (*.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 a (log.f64 #s(literal 1856295125090727/1125899906842624 binary64))) (*.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1856295125090727/1125899906842624 binary64)) #s(literal 2 binary64))) (*.f64 x (fma.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 x (pow.f64 (log.f64 #s(literal 1856295125090727/1125899906842624 binary64)) #s(literal 4 binary64)))) (*.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1856295125090727/1125899906842624 binary64)) #s(literal 3 binary64)))))))))))
#s(approx (pow 1856295125090727/1125899906842624 (* (+ a a) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 a (log.f64 #s(literal 1856295125090727/1125899906842624 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 x (pow.f64 (log.f64 #s(literal 1856295125090727/1125899906842624 binary64)) #s(literal 2 binary64)))))))))
#s(approx (pow 1856295125090727/1125899906842624 (* (+ a a) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 a (log.f64 #s(literal 1856295125090727/1125899906842624 binary64))) (*.f64 x (fma.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 x (pow.f64 (log.f64 #s(literal 1856295125090727/1125899906842624 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1856295125090727/1125899906842624 binary64)) #s(literal 2 binary64))))))))))
#s(approx (* (- (exp (* a x)) 1) (- (exp (* a x)) 1)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 a #s(literal 3 binary64)) x (pow.f64 a #s(literal 2 binary64)))))
#s(approx (* (- (exp (* a x)) 1) (- (exp (* a x)) 1)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal 2 binary64)))))
#s(approx (* (- (exp (* a x)) 1) (- (exp (* a x)) 1)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 5 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 5 binary64))))))) (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal 2 binary64)))))
#s(approx (* x (+ (* (* (* 1/2 x) a) a) a)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x))))
#s(approx (+ (* (* (* 1/2 x) a) a) a) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x))))
#s(approx (+ (* (* (* 1/2 x) a) a) a) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 a x) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
Calls

6 calls:

TimeVariablePoint
5.0ms
a
0
3.0ms
x
-inf
2.0ms
x
0
2.0ms
a
-inf
2.0ms
x
inf

rewrite168.0ms (10.2%)

Memory
10.6MiB live, 149.0MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027143
048141
1236122
2763114
33552114
04017113
Stop Event
iter-limit
node-limit
iter-limit
Counts
24 → 990
Calls
Call 1
Inputs
#s(approx (- (exp (* x a)) 1) (*.f64 x (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a a)))
(*.f64 x (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a a))
x
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a a)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) a)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
a
(-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 a x)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 a x))) #s(literal 1 binary64))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 a x)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 a x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 a x))
(exp.f64 #s(literal 1/2 binary64))
(*.f64 a x)
#s(literal 1 binary64)
(-.f64 (pow.f64 #s(literal 1856295125090727/1125899906842624 binary64) (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))
(pow.f64 #s(literal 1856295125090727/1125899906842624 binary64) (*.f64 (+.f64 a a) x))
#s(literal 1856295125090727/1125899906842624 binary64)
(*.f64 (+.f64 a a) x)
(+.f64 a a)
(/.f64 (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 x a)))
(*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 x a))
(*.f64 x a)
Outputs
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a a) x))
(*.f64 (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) a)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x) (*.f64 a x))) (*.f64 a x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x))
(*.f64 (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 a x))
(*.f64 (*.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a a) x)
(*.f64 a (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
(*.f64 a (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) a x))
(*.f64 a (+.f64 x (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) a)))
(*.f64 a (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) a) (neg.f64 x)))
(*.f64 x (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a a))
(/.f64 (-.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x))) (-.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x)) (*.f64 (*.f64 (neg.f64 a) x) (*.f64 (neg.f64 a) x))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x) (*.f64 (neg.f64 a) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x) #s(literal 3 binary64))) (fma.f64 (*.f64 a x) (*.f64 a x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x)) (*.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x) (fma.f64 (*.f64 (neg.f64 a) x) (*.f64 (neg.f64 a) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x) (*.f64 (neg.f64 a) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x)) (*.f64 (*.f64 a x) (*.f64 a x))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x) (*.f64 a x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x) #s(literal 3 binary64)) (pow.f64 (*.f64 a x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x) (-.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x) (*.f64 a x)))))
(neg.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a a)) x))
(neg.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a a))))
(neg.f64 (-.f64 (*.f64 (neg.f64 a) x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x)))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 a)) (fabs.f64 a) (*.f64 (neg.f64 (neg.f64 x)) a))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 a)) (fabs.f64 a) (neg.f64 (*.f64 (neg.f64 a) x)))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (fabs.f64 a)) (fabs.f64 a) (*.f64 a x))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 a)) (neg.f64 a) (*.f64 (neg.f64 (neg.f64 x)) a))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 a)) (neg.f64 a) (neg.f64 (*.f64 (neg.f64 a) x)))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 a)) (neg.f64 a) (*.f64 a x))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) a) a) (*.f64 (neg.f64 (neg.f64 x)) a))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) a) a) (neg.f64 (*.f64 (neg.f64 a) x)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/2 binary64) a) a) (*.f64 a x))
(fma.f64 (*.f64 (*.f64 a x) x) (*.f64 #s(literal 1/2 binary64) a) (*.f64 (neg.f64 (neg.f64 x)) a))
(fma.f64 (*.f64 (*.f64 a x) x) (*.f64 #s(literal 1/2 binary64) a) (neg.f64 (*.f64 (neg.f64 a) x)))
(fma.f64 (*.f64 (*.f64 a x) x) (*.f64 #s(literal 1/2 binary64) a) (*.f64 a x))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) a) a (*.f64 (neg.f64 (neg.f64 x)) a))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) a) a (neg.f64 (*.f64 (neg.f64 a) x)))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) a) a (*.f64 a x))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 a a) (*.f64 (neg.f64 (neg.f64 x)) a))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 a a) (neg.f64 (*.f64 (neg.f64 a) x)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 a a) (*.f64 a x))
(fma.f64 (*.f64 (*.f64 a a) x) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) a))
(fma.f64 (*.f64 (*.f64 a a) x) (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 (neg.f64 a) x)))
(fma.f64 (*.f64 (*.f64 a a) x) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 x (*.f64 a x)) (*.f64 (neg.f64 (neg.f64 x)) a))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 x (*.f64 a x)) (neg.f64 (*.f64 (neg.f64 a) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 x (*.f64 a x)) (*.f64 a x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (*.f64 a x) x) (*.f64 (neg.f64 (neg.f64 x)) a))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (*.f64 a x) x) (neg.f64 (*.f64 (neg.f64 a) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (*.f64 a x) x) (*.f64 a x))
(fma.f64 (*.f64 (*.f64 a x) (*.f64 a x)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 x)) a))
(fma.f64 (*.f64 (*.f64 a x) (*.f64 a x)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 a) x)))
(fma.f64 (*.f64 (*.f64 a x) (*.f64 a x)) #s(literal 1/2 binary64) (*.f64 a x))
(fma.f64 (*.f64 a a) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 (neg.f64 (neg.f64 x)) a))
(fma.f64 (*.f64 a a) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 (*.f64 (neg.f64 a) x)))
(fma.f64 (*.f64 a a) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 a x))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x (*.f64 (neg.f64 (neg.f64 x)) a))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x (neg.f64 (*.f64 (neg.f64 a) x)))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x (*.f64 a x))
(fma.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) (*.f64 (neg.f64 (neg.f64 x)) a))
(fma.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) (neg.f64 (*.f64 (neg.f64 a) x)))
(fma.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) (*.f64 a x))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) (*.f64 a x) (*.f64 (neg.f64 (neg.f64 x)) a))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) (*.f64 a x) (neg.f64 (*.f64 (neg.f64 a) x)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) (*.f64 a x) (*.f64 a x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 a a) x) (*.f64 (neg.f64 (neg.f64 x)) a))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 a a) x) (neg.f64 (*.f64 (neg.f64 a) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 a a) x) (*.f64 a x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a a) x) x) (*.f64 (neg.f64 (neg.f64 x)) a))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a a) x) x) (neg.f64 (*.f64 (neg.f64 a) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 a a) x) x) (*.f64 a x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 a a) x)) (*.f64 (neg.f64 (neg.f64 x)) a))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 a a) x)) (neg.f64 (*.f64 (neg.f64 a) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 a a) x)) (*.f64 a x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 (neg.f64 (neg.f64 x)) a))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (*.f64 a x)) (neg.f64 (*.f64 (neg.f64 a) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 a x))
(fma.f64 a (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) a) (*.f64 (neg.f64 (neg.f64 x)) a))
(fma.f64 a (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) a) (neg.f64 (*.f64 (neg.f64 a) x)))
(fma.f64 a (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) a) (*.f64 a x))
(fma.f64 a x (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x))
(fma.f64 x (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) (*.f64 (neg.f64 (neg.f64 x)) a))
(fma.f64 x (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) (neg.f64 (*.f64 (neg.f64 a) x)))
(fma.f64 x (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) (*.f64 a x))
(fma.f64 x a (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x))
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x) (*.f64 (neg.f64 a) x))
(-.f64 (*.f64 a x) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) a)) a))
(-.f64 (*.f64 a x) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (*.f64 a a)))
(-.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) a) a) x))
(-.f64 (*.f64 a x) (*.f64 (*.f64 (neg.f64 a) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) a)))
(-.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) a) (*.f64 a x)))
(-.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 a a) x)))
(-.f64 (*.f64 a x) (*.f64 (neg.f64 a) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) a)))
(-.f64 (*.f64 a x) (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a)))
(-.f64 (*.f64 a x) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x)))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x) (*.f64 (neg.f64 (neg.f64 x)) a))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x) (neg.f64 (*.f64 (neg.f64 a) x)))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x) (*.f64 a x))
(+.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) x))
x
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) a) a) a)) a)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) a)) a)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a))
(*.f64 (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) a)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a))
(*.f64 a (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) a) a) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) a) a))) (+.f64 a (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) a) a)))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) a) a) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) a) a) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) a) a) (*.f64 a (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) a) a)))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a))) (-.f64 a (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a)))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a)) (*.f64 a (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) (+.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a) (neg.f64 a)))))
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(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x))) (neg.f64 (expm1.f64 (*.f64 a x))))
(/.f64 (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x))) (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (*.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x)))))
(neg.f64 (neg.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (fma.f64 a x #s(literal 0 binary64)))
(expm1.f64 (neg.f64 (*.f64 (neg.f64 a) x)))
(expm1.f64 (*.f64 a x))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x))))) (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x))))) (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (*.f64 (exp.f64 (*.f64 a x)) #s(literal 1/2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (copysign.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (fabs.f64 (expm1.f64 (*.f64 a x))) (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64)))
(fma.f64 (copysign.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (fabs.f64 (expm1.f64 (*.f64 a x))) (*.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (*.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (neg.f64 (exp.f64 (*.f64 a x))) #s(literal 2 binary64) (exp.f64 (*.f64 (+.f64 a a) x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x))) (*.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x))) (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x))) (*.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x))) (*.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (/.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x)) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x))))
(fma.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (/.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (expm1.f64 (*.f64 a x))) (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (/.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (expm1.f64 (*.f64 a x))) (*.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x)))) (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (/.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) (neg.f64 (expm1.f64 (*.f64 a x)))) (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (/.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) (neg.f64 (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a x))) #s(literal 1/2 binary64) (+.f64 (cosh.f64 (*.f64 a x)) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a x))) #s(literal 1/2 binary64) (-.f64 (cosh.f64 (*.f64 a x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a x))) #s(literal 1/2 binary64) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (*.f64 a x))) (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (*.f64 a x))) (*.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (*.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (fma.f64 (neg.f64 (exp.f64 (*.f64 a x))) #s(literal 2 binary64) (exp.f64 (*.f64 (+.f64 a a) x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) (*.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x))) (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x))) (*.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) (*.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x)))) (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) (*.f64 (neg.f64 (fabs.f64 (expm1.f64 (*.f64 a x)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x)))) (*.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) (copysign.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 (expm1.f64 (*.f64 a x))) (copysign.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (*.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (neg.f64 (expm1.f64 (*.f64 a x))) #s(literal -1 binary64) (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (expm1.f64 (*.f64 a x))) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (cosh.f64 (*.f64 a x)) #s(literal 1 binary64) (*.f64 (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (*.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 (expm1.f64 (*.f64 a x)) (/.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) #s(literal -1 binary64))
(fma.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/2 binary64) (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/2 binary64)))
(fma.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64) (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64)))
(fma.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 a x))) (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 a x))) (*.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 #s(literal 1/2 binary64) (expm1.f64 (*.f64 a x)) (*.f64 #s(literal 1/2 binary64) (expm1.f64 (*.f64 a x))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 a x)) (*.f64 #s(literal 1 binary64) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)) (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)) (*.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x))))
(-.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 a x))) (sinh.f64 (*.f64 (neg.f64 a) x)))
(-.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (-.f64 (exp.f64 (*.f64 a x)) (/.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x))))
(-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x))))
(-.f64 (sinh.f64 (*.f64 a x)) (-.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 a x))))
(-.f64 (cosh.f64 (*.f64 a x)) (-.f64 (sinh.f64 (*.f64 (neg.f64 a) x)) #s(literal -1 binary64)))
(-.f64 (cosh.f64 (*.f64 a x)) (+.f64 (sinh.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64)))
(-.f64 (cosh.f64 (*.f64 a x)) (neg.f64 (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 a x))) (sinh.f64 (*.f64 a x)))
(+.f64 (-.f64 (exp.f64 (*.f64 a x)) (/.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (*.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))) #s(literal -1 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (fma.f64 (neg.f64 (exp.f64 (*.f64 a x))) #s(literal 2 binary64) (exp.f64 (*.f64 (+.f64 a a) x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 a x))))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(+.f64 (*.f64 (expm1.f64 (*.f64 a x)) (/.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)))) #s(literal -1 binary64))
(+.f64 (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/2 binary64)) (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (fma.f64 (neg.f64 (exp.f64 (*.f64 a x))) #s(literal 2 binary64) (exp.f64 (*.f64 (+.f64 a a) x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(+.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (*.f64 a x))) (*.f64 #s(literal 1/2 binary64) (expm1.f64 (*.f64 a x))))
(+.f64 (*.f64 (cosh.f64 (*.f64 a x)) #s(literal 1 binary64)) (*.f64 (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x))) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 a x))))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 a x))) (*.f64 #s(literal 1 binary64) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64))))
(+.f64 (/.f64 (fma.f64 (neg.f64 (exp.f64 (*.f64 a x))) #s(literal 2 binary64) (exp.f64 (*.f64 (+.f64 a a) x))) (expm1.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(+.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 a x)))) (expm1.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(+.f64 (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 a x)))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))
(+.f64 (sinh.f64 (*.f64 a x)) (+.f64 (cosh.f64 (*.f64 a x)) #s(literal -1 binary64)))
(+.f64 (sinh.f64 (*.f64 a x)) (-.f64 (cosh.f64 (*.f64 a x)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 (*.f64 a x)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(+.f64 (expm1.f64 (*.f64 a x)) (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64)))
(+.f64 (expm1.f64 (*.f64 a x)) (*.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a x))))
(*.f64 a x)
(*.f64 x a)

eval100.0ms (6.1%)

Memory
-42.7MiB live, 102.1MiB allocated; 46ms collecting garbage
Compiler

Compiled 17 379 to 2 433 computations (86.0% saved)

prune13.0ms (0.8%)

Memory
23.2MiB live, 23.2MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New7711772
Fresh000
Picked134
Done055
Total7729781
Accuracy
100.0%
Counts
781 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(/.f64 (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 x a)))
54.9%
(-.f64 (pow.f64 #s(literal 1856295125090727/1125899906842624 binary64) (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))
54.8%
(-.f64 (*.f64 (pow.f64 #s(literal 1856295125090727/1125899906842624 binary64) (*.f64 a x)) (pow.f64 #s(literal 1856295125090727/1125899906842624 binary64) (*.f64 a x))) #s(literal 1 binary64))
54.9%
(-.f64 (sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a)))) #s(literal 1 binary64))
23.5%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
21.3%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
67.5%
#s(approx (- (exp (* x a)) 1) (*.f64 x (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a a)))
67.8%
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
Compiler

Compiled 95 to 71 computations (25.3% saved)

regimes46.0ms (2.8%)

Memory
9.6MiB live, 55.6MiB allocated; 7ms collecting garbage
Counts
1 → 1
4 → 1
16 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
Call 2
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
Call 3
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
(expm1.f64 (*.f64 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 x (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a a)))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a)))) #s(literal 1 binary64))
(-.f64 (pow.f64 #s(literal 1856295125090727/1125899906842624 binary64) (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
#s(approx (- (exp (* x a)) 1) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))
(/.f64 (*.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x))) (expm1.f64 (*.f64 x a)))
(/.f64 (-.f64 (*.f64 (expm1.f64 (*.f64 x a)) (expm1.f64 (*.f64 x a))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (expm1.f64 (*.f64 x a)))
(-.f64 (*.f64 (pow.f64 #s(literal 1856295125090727/1125899906842624 binary64) (*.f64 a x)) (pow.f64 #s(literal 1856295125090727/1125899906842624 binary64) (*.f64 a x))) #s(literal 1 binary64))
(-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 a x)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 a x))) #s(literal 1 binary64))
Outputs
(expm1.f64 (*.f64 x a))
Calls

15 calls:

9.0ms
(exp.f64 (*.f64 a x))
5.0ms
x
5.0ms
a
4.0ms
(*.f64 a x)
3.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
21.3%1(*.f64 a x)
21.3%1(exp.f64 (*.f64 a x))
21.3%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
21.3%1a
21.3%1x
67.8%1(*.f64 a x)
67.8%1(exp.f64 (*.f64 a x))
67.8%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
67.8%1a
67.8%1x
100.0%1(*.f64 a x)
100.0%1(exp.f64 (*.f64 a x))
100.0%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
100.0%1a
100.0%1x
Compiler

Compiled 237 to 115 computations (51.5% saved)

derivations14.0ms (0.8%)

Memory
8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 22 to 13 computations (40.9% saved)

preprocess27.0ms (1.7%)

Memory
-12.5MiB live, 33.0MiB allocated; 6ms collecting garbage
Compiler

Compiled 76 to 61 computations (19.7% saved)

end0.0ms (0.0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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