(exp(k1*dx) - 1)/k1

Time bar (total: 1.6s)

start0.0ms (0.0%)

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

analyze9.0ms (0.6%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%25.7%74.3%0.0%0.0%0.0%0
0.0%0.0%25.7%74.3%0.0%0.0%0.0%1
50.0%12.8%12.8%74.3%0.0%0.0%0.0%2
50.0%12.8%12.8%74.3%0.0%0.0%0.0%3
75.0%19.3%6.4%74.3%0.0%0.0%0.0%4
75.0%19.3%6.4%74.3%0.0%0.0%0.0%5
87.5%22.5%3.2%74.3%0.0%0.0%0.0%6
87.5%22.5%3.2%74.3%0.0%0.0%0.0%7
93.8%24.1%1.6%74.3%0.0%0.0%0.0%8
93.8%24.1%1.6%74.3%0.0%0.0%0.0%9
96.9%24.9%0.8%74.3%0.0%0.0%0.0%10
96.9%24.9%0.8%74.3%0.0%0.0%0.0%11
98.4%25.3%0.4%74.3%0.0%0.0%0.0%12
Compiler

Compiled 24 to 17 computations (29.2% saved)

sample612.0ms (37.8%)

Memory
60.0MiB live, 284.6MiB allocated; 69ms collecting garbage
Samples
359.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 163.0ms
ival-expm1: 65.0ms (39.9% of total)
ival-mult!: 51.0ms (31.3% of total)
ival-div!: 45.0ms (27.6% of total)
adjust: 2.0ms (1.2% of total)
Bogosity

preprocess36.0ms (2.2%)

Memory
28.2MiB live, 28.2MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02354
110552
231652
3159052
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.9%
(/.f64 (-.f64 (exp.f64 (*.f64 k1 dx)) #s(literal 1 binary64)) k1)
Compiler

Compiled 16 to 14 computations (12.5% 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)

series52.0ms (3.2%)

Memory
-60.8MiB live, 7.5MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109427
Stop Event
iter-limit
Counts
7 → 24
Calls
Call 1
Inputs
k1
dx
(*.f64 k1 dx)
(exp.f64 (*.f64 k1 dx))
#s(literal 1 binary64)
(-.f64 (exp.f64 (*.f64 k1 dx)) #s(literal 1 binary64))
(/.f64 (-.f64 (exp.f64 (*.f64 k1 dx)) #s(literal 1 binary64)) k1)
Outputs
#s(approx k1 k1)
#s(approx (* k1 dx) (*.f64 dx k1))
#s(approx (exp (* k1 dx)) #s(literal 1 binary64))
#s(approx (exp (* k1 dx)) (+.f64 #s(literal 1 binary64) (*.f64 dx k1)))
#s(approx (exp (* k1 dx)) (+.f64 #s(literal 1 binary64) (*.f64 k1 (+.f64 dx (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 dx #s(literal 2 binary64)) k1))))))
#s(approx (exp (* k1 dx)) (+.f64 #s(literal 1 binary64) (*.f64 k1 (+.f64 dx (*.f64 k1 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 dx #s(literal 3 binary64)) k1) (*.f64 #s(literal 1/2 binary64) (pow.f64 dx #s(literal 2 binary64)))))))))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 k1 (+.f64 dx (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 dx #s(literal 2 binary64)) k1)))))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 k1 (+.f64 dx (*.f64 k1 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 dx #s(literal 3 binary64)) k1) (*.f64 #s(literal 1/2 binary64) (pow.f64 dx #s(literal 2 binary64))))))))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 k1 (+.f64 dx (*.f64 k1 (fma.f64 #s(literal 1/2 binary64) (pow.f64 dx #s(literal 2 binary64)) (*.f64 k1 (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 dx #s(literal 4 binary64)) k1) (*.f64 #s(literal 1/6 binary64) (pow.f64 dx #s(literal 3 binary64))))))))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) dx)
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (+.f64 dx (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 dx #s(literal 2 binary64)) k1))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (+.f64 dx (*.f64 k1 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 dx #s(literal 3 binary64)) k1) (*.f64 #s(literal 1/2 binary64) (pow.f64 dx #s(literal 2 binary64)))))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (+.f64 dx (*.f64 k1 (fma.f64 #s(literal 1/2 binary64) (pow.f64 dx #s(literal 2 binary64)) (*.f64 k1 (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 dx #s(literal 4 binary64)) k1) (*.f64 #s(literal 1/6 binary64) (pow.f64 dx #s(literal 3 binary64)))))))))
#s(approx (exp (* k1 dx)) (exp.f64 (*.f64 dx k1)))
#s(approx (- (exp (* k1 dx)) 1) (expm1.f64 (*.f64 dx k1)))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (/.f64 (expm1.f64 (*.f64 dx k1)) k1))
#s(approx (exp (* k1 dx)) (+.f64 #s(literal 1 binary64) (*.f64 dx (+.f64 k1 (*.f64 #s(literal 1/2 binary64) (*.f64 dx (pow.f64 k1 #s(literal 2 binary64))))))))
#s(approx (exp (* k1 dx)) (+.f64 #s(literal 1 binary64) (*.f64 dx (+.f64 k1 (*.f64 dx (fma.f64 #s(literal 1/6 binary64) (*.f64 dx (pow.f64 k1 #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 k1 #s(literal 2 binary64)))))))))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 dx (+.f64 k1 (*.f64 #s(literal 1/2 binary64) (*.f64 dx (pow.f64 k1 #s(literal 2 binary64)))))))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 dx (+.f64 k1 (*.f64 dx (fma.f64 #s(literal 1/6 binary64) (*.f64 dx (pow.f64 k1 #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 k1 #s(literal 2 binary64))))))))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 dx (+.f64 k1 (*.f64 dx (fma.f64 #s(literal 1/2 binary64) (pow.f64 k1 #s(literal 2 binary64)) (*.f64 dx (fma.f64 #s(literal 1/24 binary64) (*.f64 dx (pow.f64 k1 #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 k1 #s(literal 3 binary64))))))))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (*.f64 dx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (*.f64 dx (+.f64 #s(literal 1 binary64) (*.f64 dx (fma.f64 #s(literal 1/6 binary64) (*.f64 dx (pow.f64 k1 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) k1))))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (*.f64 dx (+.f64 #s(literal 1 binary64) (*.f64 dx (fma.f64 #s(literal 1/2 binary64) k1 (*.f64 dx (fma.f64 #s(literal 1/24 binary64) (*.f64 dx (pow.f64 k1 #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 k1 #s(literal 2 binary64))))))))))
Calls

6 calls:

TimeVariablePoint
37.0ms
dx
inf
1.0ms
dx
0
1.0ms
k1
-inf
1.0ms
k1
inf
1.0ms
dx
-inf

rewrite124.0ms (7.7%)

Memory
61.7MiB live, 61.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
01124
15124
219424
3100124
0405820
Stop Event
iter-limit
node-limit
iter-limit
Counts
7 → 482
Calls
Call 1
Inputs
k1
dx
(*.f64 k1 dx)
(exp.f64 (*.f64 k1 dx))
#s(literal 1 binary64)
(-.f64 (exp.f64 (*.f64 k1 dx)) #s(literal 1 binary64))
(/.f64 (-.f64 (exp.f64 (*.f64 k1 dx)) #s(literal 1 binary64)) k1)
Outputs
k1
dx
(*.f64 dx k1)
(*.f64 k1 dx)
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 (*.f64 dx k1)))) (sqrt.f64 (neg.f64 (exp.f64 (*.f64 dx k1)))))
(*.f64 (pow.f64 (neg.f64 (exp.f64 (*.f64 dx k1))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 (*.f64 dx k1))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 dx k1)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 dx k1)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 dx k1)) (sinh.f64 (*.f64 dx k1)))) (sinh.f64 (*.f64 dx k1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 (neg.f64 k1) dx)) (cosh.f64 (*.f64 dx k1)))) (cosh.f64 (*.f64 dx k1)))
(*.f64 (pow.f64 (exp.f64 dx) (/.f64 k1 #s(literal 2 binary64))) (pow.f64 (exp.f64 dx) (/.f64 k1 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 dx k1))) (sqrt.f64 (exp.f64 (*.f64 dx k1))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 dx k1)) (cosh.f64 (*.f64 dx k1)))) (cosh.f64 (*.f64 dx k1)))
(*.f64 (pow.f64 (exp.f64 k1) (/.f64 dx #s(literal 2 binary64))) (pow.f64 (exp.f64 k1) (/.f64 dx #s(literal 2 binary64))))
(*.f64 (exp.f64 (*.f64 dx k1)) (pow.f64 (exp.f64 dx) (*.f64 k1 #s(literal 0 binary64))))
(*.f64 (exp.f64 (*.f64 dx k1)) (pow.f64 (exp.f64 dx) (*.f64 #s(literal 0 binary64) k1)))
(pow.f64 (exp.f64 (*.f64 (*.f64 (*.f64 dx k1) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (+.f64 k1 k1)) (/.f64 dx #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 dx (+.f64 k1 k1))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 dx) k1)
(pow.f64 (exp.f64 k1) dx)
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1))))) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (sinh.f64 (*.f64 dx k1)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (cosh.f64 (*.f64 dx k1)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1))) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1))) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1)))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1)))))) #s(literal -4 binary64))
(/.f64 (fabs.f64 (fma.f64 (sinh.f64 (*.f64 dx k1)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (cosh.f64 (*.f64 dx k1)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1))) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1))) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1)))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (sinh.f64 (*.f64 dx k1)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 (*.f64 dx k1)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (sinh.f64 (*.f64 dx k1)) (sinh.f64 (*.f64 dx k1))) (*.f64 (cosh.f64 (*.f64 dx k1)) (cosh.f64 (*.f64 dx k1)))) (-.f64 (sinh.f64 (*.f64 dx k1)) (cosh.f64 (*.f64 dx k1))))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 dx k1)) (cosh.f64 (*.f64 dx k1))) (*.f64 (sinh.f64 (*.f64 (neg.f64 k1) dx)) (sinh.f64 (*.f64 (neg.f64 k1) dx)))) (exp.f64 (*.f64 (neg.f64 k1) dx)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 dx k1)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 dx k1)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (*.f64 dx k1)) (sinh.f64 (*.f64 dx k1)) (-.f64 (*.f64 (cosh.f64 (*.f64 dx k1)) (cosh.f64 (*.f64 dx k1))) (*.f64 (sinh.f64 (*.f64 dx k1)) (cosh.f64 (*.f64 dx k1))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 dx k1)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (neg.f64 k1) dx)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 dx k1)) (cosh.f64 (*.f64 dx k1)) (fma.f64 (sinh.f64 (*.f64 (neg.f64 k1) dx)) (sinh.f64 (*.f64 (neg.f64 k1) dx)) (*.f64 (cosh.f64 (*.f64 dx k1)) (sinh.f64 (*.f64 (neg.f64 k1) dx))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 dx k1))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 dx k1))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 dx k1)) (cosh.f64 (*.f64 dx k1))) (*.f64 (sinh.f64 (*.f64 dx k1)) (sinh.f64 (*.f64 dx k1)))) (exp.f64 (*.f64 (neg.f64 k1) dx)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 dx k1)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 dx k1)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 dx k1)) (cosh.f64 (*.f64 dx k1)) (-.f64 (*.f64 (sinh.f64 (*.f64 dx k1)) (sinh.f64 (*.f64 dx k1))) (*.f64 (cosh.f64 (*.f64 dx k1)) (sinh.f64 (*.f64 dx k1))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 dx) (*.f64 k1 #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 k1) dx)))
(neg.f64 (neg.f64 (exp.f64 (*.f64 dx k1))))
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eval68.0ms (4.2%)

Memory
-69.7MiB live, 35.0MiB allocated; 40ms collecting garbage
Compiler

Compiled 9 052 to 1 617 computations (82.1% saved)

prune15.0ms (0.9%)

Memory
10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4955500
Fresh000
Picked101
Done000
Total4965501
Accuracy
100.0%
Counts
501 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.8%
(/.f64 (-.f64 #s(approx (exp (* k1 dx)) (+.f64 #s(literal 1 binary64) (*.f64 dx k1))) #s(literal 1 binary64)) k1)
5.4%
(/.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) k1)
77.0%
(/.f64 (expm1.f64 (*.f64 dx k1)) k1)
79.5%
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (*.f64 dx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)))))
79.6%
#s(approx (/ (- (exp (* k1 dx)) 1) k1) dx)
Compiler

Compiled 116 to 90 computations (22.4% saved)

sample0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
1/2
Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 4 to 4 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 (1.1%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0161665
Stop Event
iter-limit
Counts
19 → 38
Calls
Call 1
Inputs
k1
dx
#s(approx (/ (- (exp (* k1 dx)) 1) k1) dx)
#s(literal 1 binary64)
#s(approx (exp (* k1 dx)) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) k1)
#s(literal 1/2 binary64)
(*.f64 dx k1)
(*.f64 #s(literal 1/2 binary64) (*.f64 dx k1))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)))
(*.f64 dx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (*.f64 dx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)))))
(+.f64 #s(literal 1 binary64) (*.f64 dx k1))
#s(approx (exp (* k1 dx)) (+.f64 #s(literal 1 binary64) (*.f64 dx k1)))
(-.f64 #s(approx (exp (* k1 dx)) (+.f64 #s(literal 1 binary64) (*.f64 dx k1))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(approx (exp (* k1 dx)) (+.f64 #s(literal 1 binary64) (*.f64 dx k1))) #s(literal 1 binary64)) k1)
(expm1.f64 (*.f64 dx k1))
(/.f64 (expm1.f64 (*.f64 dx k1)) k1)
Outputs
#s(approx k1 k1)
#s(approx (/ (- (exp (* k1 dx)) 1) k1) dx)
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (+.f64 dx (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 dx #s(literal 2 binary64)) k1))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (+.f64 dx (*.f64 k1 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 dx #s(literal 3 binary64)) k1) (*.f64 #s(literal 1/2 binary64) (pow.f64 dx #s(literal 2 binary64)))))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (+.f64 dx (*.f64 k1 (fma.f64 #s(literal 1/2 binary64) (pow.f64 dx #s(literal 2 binary64)) (*.f64 k1 (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 dx #s(literal 4 binary64)) k1) (*.f64 #s(literal 1/6 binary64) (pow.f64 dx #s(literal 3 binary64)))))))))
#s(approx (exp (* k1 dx)) #s(literal 1 binary64))
#s(approx (exp (* k1 dx)) (+.f64 #s(literal 1 binary64) (*.f64 dx k1)))
#s(approx (exp (* k1 dx)) (+.f64 #s(literal 1 binary64) (*.f64 k1 (+.f64 dx (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 dx #s(literal 2 binary64)) k1))))))
#s(approx (exp (* k1 dx)) (+.f64 #s(literal 1 binary64) (*.f64 k1 (+.f64 dx (*.f64 k1 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 dx #s(literal 3 binary64)) k1) (*.f64 #s(literal 1/2 binary64) (pow.f64 dx #s(literal 2 binary64)))))))))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 k1 (+.f64 dx (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 dx #s(literal 2 binary64)) k1)))))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 k1 (+.f64 dx (*.f64 k1 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 dx #s(literal 3 binary64)) k1) (*.f64 #s(literal 1/2 binary64) (pow.f64 dx #s(literal 2 binary64))))))))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 k1 (+.f64 dx (*.f64 k1 (fma.f64 #s(literal 1/2 binary64) (pow.f64 dx #s(literal 2 binary64)) (*.f64 k1 (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 dx #s(literal 4 binary64)) k1) (*.f64 #s(literal 1/6 binary64) (pow.f64 dx #s(literal 3 binary64))))))))))
#s(approx (* 1/2 (* dx k1)) (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)))
#s(approx (+ 1 (* 1/2 (* dx k1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (/.f64 (expm1.f64 (*.f64 dx k1)) k1))
#s(approx (exp (* k1 dx)) (exp.f64 (*.f64 dx k1)))
#s(approx (- (exp (* k1 dx)) 1) (expm1.f64 (*.f64 dx k1)))
#s(approx (+ 1 (* 1/2 (* dx k1))) (*.f64 k1 (fma.f64 #s(literal 1/2 binary64) dx (/.f64 #s(literal 1 binary64) k1))))
#s(approx (* dx (+ 1 (* 1/2 (* dx k1)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 dx #s(literal 2 binary64)) k1)))
#s(approx (* dx (+ 1 (* 1/2 (* dx k1)))) (*.f64 k1 (fma.f64 #s(literal 1/2 binary64) (pow.f64 dx #s(literal 2 binary64)) (/.f64 dx k1))))
#s(approx (+ 1 (* dx k1)) (*.f64 k1 (+.f64 dx (/.f64 #s(literal 1 binary64) k1))))
#s(approx (+ 1 (* 1/2 (* dx k1))) (*.f64 #s(literal -1 binary64) (*.f64 k1 (-.f64 (*.f64 #s(literal -1/2 binary64) dx) (/.f64 #s(literal 1 binary64) k1)))))
#s(approx (* dx (+ 1 (* 1/2 (* dx k1)))) (*.f64 #s(literal -1 binary64) (*.f64 k1 (fma.f64 #s(literal -1 binary64) (/.f64 dx k1) (*.f64 #s(literal -1/2 binary64) (pow.f64 dx #s(literal 2 binary64)))))))
#s(approx (+ 1 (* dx k1)) (*.f64 #s(literal -1 binary64) (*.f64 k1 (-.f64 (*.f64 #s(literal -1 binary64) dx) (/.f64 #s(literal 1 binary64) k1)))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (*.f64 dx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (*.f64 dx (+.f64 #s(literal 1 binary64) (*.f64 dx (fma.f64 #s(literal 1/6 binary64) (*.f64 dx (pow.f64 k1 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) k1))))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (*.f64 dx (+.f64 #s(literal 1 binary64) (*.f64 dx (fma.f64 #s(literal 1/2 binary64) k1 (*.f64 dx (fma.f64 #s(literal 1/24 binary64) (*.f64 dx (pow.f64 k1 #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 k1 #s(literal 2 binary64))))))))))
#s(approx (exp (* k1 dx)) (+.f64 #s(literal 1 binary64) (*.f64 dx (+.f64 k1 (*.f64 #s(literal 1/2 binary64) (*.f64 dx (pow.f64 k1 #s(literal 2 binary64))))))))
#s(approx (exp (* k1 dx)) (+.f64 #s(literal 1 binary64) (*.f64 dx (+.f64 k1 (*.f64 dx (fma.f64 #s(literal 1/6 binary64) (*.f64 dx (pow.f64 k1 #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 k1 #s(literal 2 binary64)))))))))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 dx (+.f64 k1 (*.f64 #s(literal 1/2 binary64) (*.f64 dx (pow.f64 k1 #s(literal 2 binary64)))))))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 dx (+.f64 k1 (*.f64 dx (fma.f64 #s(literal 1/6 binary64) (*.f64 dx (pow.f64 k1 #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 k1 #s(literal 2 binary64))))))))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 dx (+.f64 k1 (*.f64 dx (fma.f64 #s(literal 1/2 binary64) (pow.f64 k1 #s(literal 2 binary64)) (*.f64 dx (fma.f64 #s(literal 1/24 binary64) (*.f64 dx (pow.f64 k1 #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 k1 #s(literal 3 binary64))))))))))
#s(approx (+ 1 (* 1/2 (* dx k1))) (*.f64 dx (fma.f64 #s(literal 1/2 binary64) k1 (/.f64 #s(literal 1 binary64) dx))))
#s(approx (* dx (+ 1 (* 1/2 (* dx k1)))) (*.f64 (pow.f64 dx #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) k1 (/.f64 #s(literal 1 binary64) dx))))
#s(approx (+ 1 (* dx k1)) (*.f64 dx (+.f64 k1 (/.f64 #s(literal 1 binary64) dx))))
#s(approx (+ 1 (* 1/2 (* dx k1))) (*.f64 #s(literal -1 binary64) (*.f64 dx (-.f64 (*.f64 #s(literal -1/2 binary64) k1) (/.f64 #s(literal 1 binary64) dx)))))
#s(approx (+ 1 (* dx k1)) (*.f64 #s(literal -1 binary64) (*.f64 dx (-.f64 (*.f64 #s(literal -1 binary64) k1) (/.f64 #s(literal 1 binary64) dx)))))
Calls

6 calls:

TimeVariablePoint
3.0ms
dx
0
1.0ms
dx
-inf
1.0ms
k1
-inf
1.0ms
dx
inf
1.0ms
k1
inf

rewrite153.0ms (9.5%)

Memory
-4.6MiB live, 77.6MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023131
035127
1203127
2687127
32420127
04579120
Stop Event
iter-limit
node-limit
iter-limit
Counts
19 → 588
Calls
Call 1
Inputs
k1
dx
#s(approx (/ (- (exp (* k1 dx)) 1) k1) dx)
#s(literal 1 binary64)
#s(approx (exp (* k1 dx)) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) k1)
#s(literal 1/2 binary64)
(*.f64 dx k1)
(*.f64 #s(literal 1/2 binary64) (*.f64 dx k1))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)))
(*.f64 dx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (*.f64 dx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)))))
(+.f64 #s(literal 1 binary64) (*.f64 dx k1))
#s(approx (exp (* k1 dx)) (+.f64 #s(literal 1 binary64) (*.f64 dx k1)))
(-.f64 #s(approx (exp (* k1 dx)) (+.f64 #s(literal 1 binary64) (*.f64 dx k1))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(approx (exp (* k1 dx)) (+.f64 #s(literal 1 binary64) (*.f64 dx k1))) #s(literal 1 binary64)) k1)
(expm1.f64 (*.f64 dx k1))
(/.f64 (expm1.f64 (*.f64 dx k1)) k1)
Outputs
k1
dx
#s(approx (/ (- (exp (* k1 dx)) 1) k1) dx)
#s(literal 1 binary64)
#s(approx (exp (* k1 dx)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp (* k1 dx)) #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 (* k1 dx)) #s(literal 1 binary64)))) #s(approx (exp (* k1 dx)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp (* k1 dx)) #s(literal 1 binary64)))) #s(approx (exp (* k1 dx)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(approx (exp (* k1 dx)) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) #s(approx (exp (* k1 dx)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (*.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(approx (exp (* k1 dx)) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) #s(approx (exp (* k1 dx)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(approx (exp (* k1 dx)) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(approx (exp (* k1 dx)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp (* k1 dx)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(neg.f64 (*.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp (* k1 dx)) #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64))))
(-.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (neg.f64 (neg.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)))))
(+.f64 #s(literal -1 binary64) #s(approx (exp (* k1 dx)) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(+.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) k1) (/.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) k1))) (/.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) k1))
(*.f64 (/.f64 #s(literal -1 binary64) k1) (-.f64 #s(literal 1 binary64) #s(approx (exp (* k1 dx)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) k1) (/.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) k1))) (/.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) k1))
(*.f64 (fma.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) k1))
(*.f64 (-.f64 (*.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) k1) k1) (/.f64 #s(literal 1 binary64) (*.f64 k1 k1)))
(*.f64 (/.f64 #s(literal 1 binary64) k1) (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp (* k1 dx)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) k1))
(*.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) k1))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) k1))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 k1 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) k1)))) (*.f64 k1 #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 k1))) (*.f64 k1 #s(literal -2 binary64))) (*.f64 k1 (*.f64 #s(literal 2 binary64) (neg.f64 k1))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) k1)) (*.f64 k1 #s(literal 2 binary64))) (*.f64 k1 (*.f64 #s(literal 2 binary64) k1)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 k1)) (*.f64 k1 #s(literal -1 binary64))) (*.f64 k1 (neg.f64 k1)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) k1) k1) (*.f64 k1 k1))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) k1) (*.f64 k1 k1)) (*.f64 (*.f64 k1 k1) k1)) (*.f64 (*.f64 k1 k1) (*.f64 k1 k1)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 k1)) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 k1)) #s(approx (exp (* k1 dx)) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 k1)) (neg.f64 k1)))
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(/.f64 (-.f64 (*.f64 (fma.f64 (cosh.f64 (*.f64 dx k1)) k1 (*.f64 (sinh.f64 (*.f64 dx k1)) k1)) (*.f64 #s(literal 2 binary64) k1)) (*.f64 (*.f64 k1 k1) #s(literal 2 binary64))) (*.f64 (*.f64 k1 k1) (*.f64 #s(literal 2 binary64) k1)))
(/.f64 (-.f64 (*.f64 (fma.f64 (cosh.f64 (*.f64 dx k1)) k1 (*.f64 (sinh.f64 (*.f64 dx k1)) k1)) (neg.f64 k1)) (*.f64 (*.f64 k1 k1) #s(literal -1 binary64))) (*.f64 (*.f64 k1 k1) (neg.f64 k1)))
(/.f64 (-.f64 (*.f64 (fma.f64 (cosh.f64 (*.f64 dx k1)) k1 (*.f64 (sinh.f64 (*.f64 dx k1)) k1)) k1) (*.f64 (*.f64 k1 k1) #s(literal 1 binary64))) (*.f64 (*.f64 k1 k1) k1))
(/.f64 (-.f64 (*.f64 (fma.f64 (cosh.f64 (*.f64 dx k1)) k1 (*.f64 k1 (sinh.f64 (*.f64 dx k1)))) #s(literal 2 binary64)) (*.f64 (*.f64 k1 k1) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) k1)))) (*.f64 (*.f64 k1 k1) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (fma.f64 (cosh.f64 (*.f64 dx k1)) k1 (*.f64 k1 (sinh.f64 (*.f64 dx k1)))) (*.f64 #s(literal 2 binary64) (neg.f64 k1))) (*.f64 (*.f64 k1 k1) #s(literal -2 binary64))) (*.f64 (*.f64 k1 k1) (*.f64 #s(literal 2 binary64) (neg.f64 k1))))
(/.f64 (-.f64 (*.f64 (fma.f64 (cosh.f64 (*.f64 dx k1)) k1 (*.f64 k1 (sinh.f64 (*.f64 dx k1)))) (*.f64 #s(literal 2 binary64) k1)) (*.f64 (*.f64 k1 k1) #s(literal 2 binary64))) (*.f64 (*.f64 k1 k1) (*.f64 #s(literal 2 binary64) k1)))
(/.f64 (-.f64 (*.f64 (fma.f64 (cosh.f64 (*.f64 dx k1)) k1 (*.f64 k1 (sinh.f64 (*.f64 dx k1)))) (neg.f64 k1)) (*.f64 (*.f64 k1 k1) #s(literal -1 binary64))) (*.f64 (*.f64 k1 k1) (neg.f64 k1)))
(/.f64 (-.f64 (*.f64 (fma.f64 (cosh.f64 (*.f64 dx k1)) k1 (*.f64 k1 (sinh.f64 (*.f64 dx k1)))) k1) (*.f64 (*.f64 k1 k1) #s(literal 1 binary64))) (*.f64 (*.f64 k1 k1) k1))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 dx k1))) #s(literal 2 binary64)) (*.f64 (neg.f64 k1) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) k1)))) (*.f64 (neg.f64 k1) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 dx k1))) (*.f64 #s(literal 2 binary64) (neg.f64 k1))) (*.f64 (neg.f64 k1) #s(literal -2 binary64))) (*.f64 (neg.f64 k1) (*.f64 #s(literal 2 binary64) (neg.f64 k1))))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 dx k1))) (*.f64 #s(literal 2 binary64) k1)) (*.f64 (neg.f64 k1) #s(literal 2 binary64))) (*.f64 (neg.f64 k1) (*.f64 #s(literal 2 binary64) k1)))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 dx k1)) #s(literal 2 binary64)) (*.f64 k1 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) k1)))) (*.f64 k1 #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 dx k1)) (*.f64 #s(literal 2 binary64) (neg.f64 k1))) (*.f64 k1 #s(literal -2 binary64))) (*.f64 k1 (*.f64 #s(literal 2 binary64) (neg.f64 k1))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 dx k1)) (*.f64 #s(literal 2 binary64) k1)) (*.f64 k1 #s(literal 2 binary64))) (*.f64 k1 (*.f64 #s(literal 2 binary64) k1)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 dx k1)))) k1)
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 dx k1)) k1) k1) k1)) (neg.f64 k1))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 dx k1)) k1) (neg.f64 k1)) #s(literal -1 binary64))) k1)
(/.f64 (neg.f64 (fma.f64 (neg.f64 (exp.f64 (*.f64 dx k1))) k1 (*.f64 #s(literal -1 binary64) (neg.f64 k1)))) (neg.f64 (*.f64 (neg.f64 k1) k1)))
(/.f64 (neg.f64 (fma.f64 (exp.f64 (*.f64 dx k1)) k1 (*.f64 #s(literal -1 binary64) k1))) (neg.f64 (*.f64 k1 k1)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (exp.f64 (*.f64 dx k1))) k1 (*.f64 (neg.f64 k1) #s(literal -1 binary64)))) (neg.f64 (*.f64 (neg.f64 k1) k1)))
(/.f64 (neg.f64 (fma.f64 (exp.f64 (*.f64 dx k1)) k1 (*.f64 k1 #s(literal -1 binary64)))) (neg.f64 (*.f64 k1 k1)))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 dx k1))) (neg.f64 k1)) (*.f64 (neg.f64 k1) #s(literal -1 binary64)))) (neg.f64 (*.f64 k1 k1)))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 dx k1))) k1) (*.f64 (neg.f64 k1) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 k1) k1)))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 dx k1)) (neg.f64 k1)) (*.f64 k1 #s(literal -1 binary64)))) (neg.f64 (*.f64 k1 (neg.f64 k1))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (fma.f64 dx k1 #s(literal 0 binary64))))) k1)
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 dx k1)) k1) k1))) (neg.f64 (neg.f64 (*.f64 k1 k1))))
(/.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 dx k1))) (neg.f64 k1))
(/.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 dx k1)) k1) k1) k1) k1)
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 dx k1))) #s(literal 1 binary64)) (*.f64 k1 #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 dx k1))) #s(literal 1 binary64)) (neg.f64 k1))
(/.f64 (*.f64 (expm1.f64 (*.f64 dx k1)) #s(literal -1 binary64)) (*.f64 k1 #s(literal -1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 dx k1)) #s(literal -1 binary64)) (neg.f64 k1))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 dx k1 #s(literal 0 binary64)))) (*.f64 k1 #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 dx k1 #s(literal 0 binary64)))) (neg.f64 k1))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 dx k1)) k1) (neg.f64 k1)) #s(literal -1 binary64)) (neg.f64 k1))
(/.f64 (fma.f64 (neg.f64 (exp.f64 (*.f64 dx k1))) k1 (*.f64 #s(literal -1 binary64) (neg.f64 k1))) (*.f64 (neg.f64 k1) k1))
(/.f64 (fma.f64 (exp.f64 (*.f64 dx k1)) k1 (*.f64 #s(literal -1 binary64) k1)) (*.f64 k1 k1))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 dx k1)) k1) (/.f64 (exp.f64 (*.f64 dx k1)) k1)) (*.f64 (/.f64 #s(literal -1 binary64) k1) (/.f64 #s(literal -1 binary64) k1))) (-.f64 (/.f64 (exp.f64 (*.f64 dx k1)) k1) (/.f64 #s(literal -1 binary64) k1)))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 dx k1)) k1) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) k1) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 dx k1)) k1) (/.f64 (exp.f64 (*.f64 dx k1)) k1) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) k1) (/.f64 #s(literal -1 binary64) k1)) (*.f64 (/.f64 (exp.f64 (*.f64 dx k1)) k1) (/.f64 #s(literal -1 binary64) k1)))))
(/.f64 (fma.f64 (neg.f64 (exp.f64 (*.f64 dx k1))) k1 (*.f64 (neg.f64 k1) #s(literal -1 binary64))) (*.f64 (neg.f64 k1) k1))
(/.f64 (fma.f64 (exp.f64 (*.f64 dx k1)) k1 (*.f64 k1 #s(literal -1 binary64))) (*.f64 k1 k1))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 dx k1))) (neg.f64 k1)) (*.f64 (neg.f64 k1) #s(literal -1 binary64))) (*.f64 k1 k1))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 dx k1))) k1) (*.f64 (neg.f64 k1) #s(literal 1 binary64))) (*.f64 (neg.f64 k1) k1))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 dx k1)) (neg.f64 k1)) (*.f64 k1 #s(literal -1 binary64))) (*.f64 k1 (neg.f64 k1)))
(/.f64 (neg.f64 (expm1.f64 (fma.f64 dx k1 #s(literal 0 binary64)))) (neg.f64 k1))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 dx k1)) k1) k1)) (neg.f64 (*.f64 k1 k1)))
(/.f64 (expm1.f64 (fma.f64 dx k1 #s(literal 0 binary64))) k1)
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 dx k1)) k1) (/.f64 (exp.f64 (*.f64 dx k1)) k1)) (*.f64 (/.f64 #s(literal 1 binary64) k1) (/.f64 #s(literal 1 binary64) k1))) (+.f64 (/.f64 (exp.f64 (*.f64 dx k1)) k1) (/.f64 #s(literal 1 binary64) k1)))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 dx k1)) k1) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) k1) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 dx k1)) k1) (/.f64 (exp.f64 (*.f64 dx k1)) k1) (fma.f64 (/.f64 #s(literal 1 binary64) k1) (/.f64 #s(literal 1 binary64) k1) (*.f64 (/.f64 (exp.f64 (*.f64 dx k1)) k1) (/.f64 #s(literal 1 binary64) k1)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 dx k1)) k1) k1) (*.f64 k1 k1))
(/.f64 (neg.f64 (expm1.f64 (*.f64 dx k1))) (*.f64 k1 #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 dx k1))) (neg.f64 k1))
(/.f64 (expm1.f64 (*.f64 dx k1)) k1)
(/.f64 #s(literal 1 binary64) (/.f64 k1 (expm1.f64 (fma.f64 dx k1 #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 k1 k1) (-.f64 (*.f64 (exp.f64 (*.f64 dx k1)) k1) k1)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 k1) (neg.f64 (expm1.f64 (*.f64 dx k1)))))
(/.f64 #s(literal 1 binary64) (/.f64 k1 (expm1.f64 (*.f64 dx k1))))
(neg.f64 (/.f64 (expm1.f64 (*.f64 dx k1)) (neg.f64 k1)))
(fma.f64 (exp.f64 (fma.f64 dx k1 #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) k1) (*.f64 (/.f64 #s(literal 1 binary64) k1) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (fma.f64 dx k1 #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) k1) (/.f64 #s(literal -1 binary64) k1))
(fma.f64 (neg.f64 (exp.f64 (*.f64 dx k1))) (/.f64 #s(literal -1 binary64) k1) (*.f64 (/.f64 #s(literal 1 binary64) k1) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (exp.f64 (*.f64 dx k1))) (/.f64 #s(literal -1 binary64) k1) (/.f64 #s(literal -1 binary64) k1))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) k1) (/.f64 (exp.f64 (*.f64 dx k1)) k1))
(fma.f64 (/.f64 #s(literal 1 binary64) k1) #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 dx k1)) k1))
(fma.f64 (/.f64 #s(literal 1 binary64) k1) (cosh.f64 (*.f64 dx k1)) (*.f64 (/.f64 #s(literal 1 binary64) k1) (-.f64 (sinh.f64 (*.f64 dx k1)) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) k1) (exp.f64 (*.f64 dx k1)) (*.f64 (/.f64 #s(literal 1 binary64) k1) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) k1) (exp.f64 (*.f64 dx k1)) (/.f64 #s(literal -1 binary64) k1))
(fma.f64 (cosh.f64 (*.f64 dx k1)) (/.f64 #s(literal 1 binary64) k1) (+.f64 (/.f64 (sinh.f64 (*.f64 dx k1)) k1) (/.f64 #s(literal -1 binary64) k1)))
(fma.f64 (cosh.f64 (*.f64 dx k1)) (/.f64 #s(literal 1 binary64) k1) (-.f64 (/.f64 (sinh.f64 (*.f64 dx k1)) k1) (/.f64 #s(literal 1 binary64) k1)))
(fma.f64 (cosh.f64 (*.f64 dx k1)) (/.f64 #s(literal 1 binary64) k1) (*.f64 (-.f64 (sinh.f64 (*.f64 dx k1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) k1)))
(fma.f64 (cosh.f64 (*.f64 dx k1)) (/.f64 #s(literal 1 binary64) k1) (/.f64 (-.f64 (sinh.f64 (*.f64 dx k1)) #s(literal 1 binary64)) k1))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) k1) (/.f64 (exp.f64 (*.f64 dx k1)) k1))
(fma.f64 (exp.f64 (*.f64 dx k1)) (/.f64 #s(literal 1 binary64) k1) (*.f64 (/.f64 #s(literal 1 binary64) k1) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (*.f64 dx k1)) (/.f64 #s(literal 1 binary64) k1) (/.f64 #s(literal -1 binary64) k1))
(-.f64 (/.f64 (*.f64 (exp.f64 (*.f64 dx k1)) k1) (*.f64 k1 k1)) (/.f64 k1 (*.f64 k1 k1)))
(-.f64 (/.f64 (-.f64 (cosh.f64 (*.f64 dx k1)) #s(literal 1 binary64)) k1) (/.f64 (sinh.f64 (*.f64 dx k1)) (neg.f64 k1)))
(-.f64 (/.f64 #s(literal -1 binary64) k1) (/.f64 (exp.f64 (*.f64 dx k1)) (neg.f64 k1)))
(-.f64 (/.f64 (exp.f64 (*.f64 dx k1)) k1) (/.f64 #s(literal 1 binary64) k1))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) k1) (cosh.f64 (*.f64 dx k1))) (*.f64 (/.f64 #s(literal 1 binary64) k1) (-.f64 (sinh.f64 (*.f64 dx k1)) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) k1) #s(literal -1 binary64)) (/.f64 (exp.f64 (*.f64 dx k1)) k1))
(+.f64 (/.f64 #s(literal -1 binary64) k1) (/.f64 (exp.f64 (*.f64 dx k1)) k1))
(+.f64 (/.f64 (cosh.f64 (*.f64 dx k1)) k1) (+.f64 (/.f64 (sinh.f64 (*.f64 dx k1)) k1) (/.f64 #s(literal -1 binary64) k1)))
(+.f64 (/.f64 (cosh.f64 (*.f64 dx k1)) k1) (-.f64 (/.f64 (sinh.f64 (*.f64 dx k1)) k1) (/.f64 #s(literal 1 binary64) k1)))
(+.f64 (/.f64 (cosh.f64 (*.f64 dx k1)) k1) (*.f64 (-.f64 (sinh.f64 (*.f64 dx k1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) k1)))
(+.f64 (/.f64 (cosh.f64 (*.f64 dx k1)) k1) (/.f64 (-.f64 (sinh.f64 (*.f64 dx k1)) #s(literal 1 binary64)) k1))
(+.f64 (/.f64 (exp.f64 (*.f64 dx k1)) k1) (*.f64 (/.f64 #s(literal 1 binary64) k1) #s(literal -1 binary64)))
(+.f64 (/.f64 (exp.f64 (*.f64 dx k1)) k1) (/.f64 #s(literal -1 binary64) k1))

eval54.0ms (3.4%)

Memory
-31.5MiB live, 43.8MiB allocated; 12ms collecting garbage
Compiler

Compiled 12 174 to 1 999 computations (83.6% saved)

prune14.0ms (0.9%)

Memory
12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New6194623
Fresh000
Picked505
Done-330
Total6217628
Accuracy
100.0%
Counts
628 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.4%
(/.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) k1)
77.0%
(/.f64 (expm1.f64 (*.f64 dx k1)) k1)
56.7%
(/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)
79.5%
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (fma.f64 (*.f64 (*.f64 dx k1) #s(literal 1/2 binary64)) dx dx))
79.5%
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (fma.f64 (*.f64 (*.f64 dx dx) k1) #s(literal 1/2 binary64) dx))
79.5%
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (-.f64 dx (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 dx k1)) dx)))
79.6%
#s(approx (/ (- (exp (* k1 dx)) 1) k1) dx)
Compiler

Compiled 90 to 67 computations (25.6% saved)

sample0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-1/2
1/2
Outputs
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 4 to 4 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 (1.1%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139525
Stop Event
iter-limit
Counts
18 → 29
Calls
Call 1
Inputs
k1
dx
#s(literal -1/2 binary64)
(*.f64 dx k1)
(*.f64 #s(literal -1/2 binary64) (*.f64 dx k1))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 dx k1)) dx)
(-.f64 dx (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 dx k1)) dx))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (-.f64 dx (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 dx k1)) dx)))
(*.f64 dx dx)
(*.f64 (*.f64 dx dx) k1)
#s(literal 1/2 binary64)
(fma.f64 (*.f64 (*.f64 dx dx) k1) #s(literal 1/2 binary64) dx)
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (fma.f64 (*.f64 (*.f64 dx dx) k1) #s(literal 1/2 binary64) dx))
(*.f64 (*.f64 dx k1) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 dx k1) #s(literal 1/2 binary64)) dx dx)
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (fma.f64 (*.f64 (*.f64 dx k1) #s(literal 1/2 binary64)) dx dx))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))
(/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)
Outputs
#s(approx k1 k1)
#s(approx (* dx k1) (*.f64 dx k1))
#s(approx (* -1/2 (* dx k1)) (*.f64 #s(literal -1/2 binary64) (*.f64 dx k1)))
#s(approx (* (* -1/2 (* dx k1)) dx) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 dx #s(literal 2 binary64)) k1)))
#s(approx (- dx (* (* -1/2 (* dx k1)) dx)) dx)
#s(approx (- dx (* (* -1/2 (* dx k1)) dx)) (+.f64 dx (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 dx #s(literal 2 binary64)) k1))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (+.f64 dx (*.f64 k1 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 dx #s(literal 3 binary64)) k1) (*.f64 #s(literal 1/2 binary64) (pow.f64 dx #s(literal 2 binary64)))))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (+.f64 dx (*.f64 k1 (fma.f64 #s(literal 1/2 binary64) (pow.f64 dx #s(literal 2 binary64)) (*.f64 k1 (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 dx #s(literal 4 binary64)) k1) (*.f64 #s(literal 1/6 binary64) (pow.f64 dx #s(literal 3 binary64)))))))))
#s(approx (* (* dx dx) k1) (*.f64 (pow.f64 dx #s(literal 2 binary64)) k1))
#s(approx (* (* dx k1) 1/2) (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 k1 (+.f64 dx (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 dx #s(literal 2 binary64)) k1)))))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 k1 (+.f64 dx (*.f64 k1 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 dx #s(literal 3 binary64)) k1) (*.f64 #s(literal 1/2 binary64) (pow.f64 dx #s(literal 2 binary64))))))))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 k1 (+.f64 dx (*.f64 k1 (fma.f64 #s(literal 1/2 binary64) (pow.f64 dx #s(literal 2 binary64)) (*.f64 k1 (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 dx #s(literal 4 binary64)) k1) (*.f64 #s(literal 1/6 binary64) (pow.f64 dx #s(literal 3 binary64))))))))))
#s(approx (- dx (* (* -1/2 (* dx k1)) dx)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 dx #s(literal 2 binary64)) k1)))
#s(approx (- dx (* (* -1/2 (* dx k1)) dx)) (*.f64 k1 (-.f64 (/.f64 dx k1) (*.f64 #s(literal -1/2 binary64) (pow.f64 dx #s(literal 2 binary64))))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (/.f64 (expm1.f64 (*.f64 dx k1)) k1))
#s(approx (+ (* (* (* dx dx) k1) 1/2) dx) (*.f64 k1 (fma.f64 #s(literal 1/2 binary64) (pow.f64 dx #s(literal 2 binary64)) (/.f64 dx k1))))
#s(approx (- (exp (* k1 dx)) 1) (expm1.f64 (*.f64 dx k1)))
#s(approx (- dx (* (* -1/2 (* dx k1)) dx)) (*.f64 #s(literal -1 binary64) (*.f64 k1 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 dx k1)) (*.f64 #s(literal 1/2 binary64) (pow.f64 dx #s(literal 2 binary64)))))))
#s(approx (+ (* (* (* dx dx) k1) 1/2) dx) (*.f64 #s(literal -1 binary64) (*.f64 k1 (fma.f64 #s(literal -1 binary64) (/.f64 dx k1) (*.f64 #s(literal -1/2 binary64) (pow.f64 dx #s(literal 2 binary64)))))))
#s(approx (- dx (* (* -1/2 (* dx k1)) dx)) (*.f64 dx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (*.f64 dx (+.f64 #s(literal 1 binary64) (*.f64 dx (fma.f64 #s(literal 1/6 binary64) (*.f64 dx (pow.f64 k1 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) k1))))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (*.f64 dx (+.f64 #s(literal 1 binary64) (*.f64 dx (fma.f64 #s(literal 1/2 binary64) k1 (*.f64 dx (fma.f64 #s(literal 1/24 binary64) (*.f64 dx (pow.f64 k1 #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 k1 #s(literal 2 binary64))))))))))
#s(approx (* dx dx) (pow.f64 dx #s(literal 2 binary64)))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 dx (+.f64 k1 (*.f64 #s(literal 1/2 binary64) (*.f64 dx (pow.f64 k1 #s(literal 2 binary64)))))))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 dx (+.f64 k1 (*.f64 dx (fma.f64 #s(literal 1/6 binary64) (*.f64 dx (pow.f64 k1 #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 k1 #s(literal 2 binary64))))))))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 dx (+.f64 k1 (*.f64 dx (fma.f64 #s(literal 1/2 binary64) (pow.f64 k1 #s(literal 2 binary64)) (*.f64 dx (fma.f64 #s(literal 1/24 binary64) (*.f64 dx (pow.f64 k1 #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 k1 #s(literal 3 binary64))))))))))
#s(approx (- dx (* (* -1/2 (* dx k1)) dx)) (*.f64 (pow.f64 dx #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) dx) (*.f64 #s(literal -1/2 binary64) k1))))
#s(approx (+ (* (* (* dx dx) k1) 1/2) dx) (*.f64 (pow.f64 dx #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) k1 (/.f64 #s(literal 1 binary64) dx))))
Calls

6 calls:

TimeVariablePoint
2.0ms
k1
-inf
2.0ms
k1
inf
2.0ms
dx
-inf
2.0ms
k1
0
2.0ms
dx
inf

rewrite136.0ms (8.4%)

Memory
-15.8MiB live, 63.2MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023131
035135
1158129
2543129
31908129
04641119
Stop Event
iter-limit
node-limit
iter-limit
Counts
18 → 550
Calls
Call 1
Inputs
k1
dx
#s(literal -1/2 binary64)
(*.f64 dx k1)
(*.f64 #s(literal -1/2 binary64) (*.f64 dx k1))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 dx k1)) dx)
(-.f64 dx (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 dx k1)) dx))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (-.f64 dx (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 dx k1)) dx)))
(*.f64 dx dx)
(*.f64 (*.f64 dx dx) k1)
#s(literal 1/2 binary64)
(fma.f64 (*.f64 (*.f64 dx dx) k1) #s(literal 1/2 binary64) dx)
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (fma.f64 (*.f64 (*.f64 dx dx) k1) #s(literal 1/2 binary64) dx))
(*.f64 (*.f64 dx k1) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 dx k1) #s(literal 1/2 binary64)) dx dx)
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (fma.f64 (*.f64 (*.f64 dx k1) #s(literal 1/2 binary64)) dx dx))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))
(/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)
Outputs
k1
dx
#s(literal -1/2 binary64)
(*.f64 dx k1)
(*.f64 k1 dx)
(*.f64 (*.f64 (neg.f64 dx) #s(literal 1/2 binary64)) k1)
(*.f64 (neg.f64 (*.f64 (neg.f64 k1) dx)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) k1) dx)
(*.f64 (*.f64 (neg.f64 k1) dx) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) dx) k1)
(*.f64 (*.f64 #s(literal 1/2 binary64) k1) (neg.f64 dx))
(*.f64 (*.f64 #s(literal 1/2 binary64) dx) (neg.f64 k1))
(*.f64 (neg.f64 k1) (*.f64 #s(literal 1/2 binary64) dx))
(*.f64 (neg.f64 dx) (*.f64 #s(literal 1/2 binary64) k1))
(*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 k1) dx))
(*.f64 (*.f64 dx k1) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (neg.f64 k1) dx)))
(*.f64 #s(literal -1/2 binary64) (*.f64 dx k1))
(*.f64 dx (*.f64 #s(literal -1/2 binary64) k1))
(*.f64 k1 (*.f64 #s(literal -1/2 binary64) dx))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)))
(*.f64 (*.f64 (neg.f64 dx) (*.f64 #s(literal -1/2 binary64) dx)) (neg.f64 k1))
(*.f64 (*.f64 (neg.f64 dx) (*.f64 #s(literal 1/2 binary64) dx)) k1)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (fabs.f64 dx) k1)) (fabs.f64 dx))
(*.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 dx)) (*.f64 (fabs.f64 dx) k1))
(*.f64 (*.f64 (neg.f64 dx) #s(literal 1/2 binary64)) (*.f64 dx k1))
(*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) dx) dx)) k1)
(*.f64 (*.f64 (*.f64 (neg.f64 dx) dx) #s(literal 1/2 binary64)) k1)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 dx dx)) k1)
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) dx) dx) k1)
(*.f64 (*.f64 (fabs.f64 dx) k1) (*.f64 (fabs.f64 dx) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) k1) (*.f64 dx dx))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) dx) dx) (neg.f64 k1))
(*.f64 (*.f64 (neg.f64 dx) dx) (*.f64 #s(literal 1/2 binary64) k1))
(*.f64 (*.f64 (*.f64 (neg.f64 k1) dx) dx) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (fabs.f64 dx)) (*.f64 (*.f64 (fabs.f64 dx) #s(literal 1/2 binary64)) k1))
(*.f64 (*.f64 (neg.f64 k1) dx) (*.f64 #s(literal 1/2 binary64) dx))
(*.f64 (*.f64 #s(literal -1/2 binary64) dx) (*.f64 dx k1))
(*.f64 (*.f64 #s(literal 1/2 binary64) k1) (*.f64 (neg.f64 dx) dx))
(*.f64 (*.f64 #s(literal 1/2 binary64) dx) (*.f64 (neg.f64 k1) dx))
(*.f64 (neg.f64 k1) (*.f64 (*.f64 #s(literal 1/2 binary64) dx) dx))
(*.f64 (fabs.f64 dx) (*.f64 (*.f64 (fabs.f64 dx) k1) #s(literal -1/2 binary64)))
(*.f64 (fabs.f64 dx) (neg.f64 (*.f64 (*.f64 (fabs.f64 dx) #s(literal 1/2 binary64)) k1)))
(*.f64 (neg.f64 dx) (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) (neg.f64 dx))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 k1) dx) dx))
(*.f64 (*.f64 (*.f64 dx dx) k1) #s(literal -1/2 binary64))
(*.f64 (*.f64 dx dx) (*.f64 #s(literal -1/2 binary64) k1))
(*.f64 (*.f64 (*.f64 dx k1) #s(literal -1/2 binary64)) dx)
(*.f64 (*.f64 dx k1) (*.f64 #s(literal -1/2 binary64) dx))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 dx dx) k1))
(*.f64 dx (*.f64 (*.f64 dx k1) #s(literal -1/2 binary64)))
(*.f64 k1 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) dx) dx)))
(*.f64 k1 (*.f64 (*.f64 #s(literal -1/2 binary64) dx) dx))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx) dx)) dx)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 dx) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 dx k1) #s(literal 1 binary64)) dx)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 dx (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 dx k1) #s(literal -1/2 binary64)) dx) dx)) dx)
(*.f64 dx (fma.f64 #s(literal 1/2 binary64) (*.f64 dx k1) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 dx dx) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx))) (-.f64 dx (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx)))
(/.f64 (+.f64 (pow.f64 dx #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx) #s(literal 3 binary64))) (fma.f64 dx dx (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx)) (*.f64 dx (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx) #s(literal 3 binary64)) (pow.f64 (neg.f64 dx) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx) (+.f64 (*.f64 dx dx) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx) (neg.f64 dx)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx)) (*.f64 dx dx)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx) (neg.f64 dx)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx)) (*.f64 dx dx)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx) dx))
(/.f64 (-.f64 (*.f64 dx dx) (*.f64 (*.f64 (*.f64 (*.f64 dx k1) #s(literal -1/2 binary64)) dx) (*.f64 (*.f64 (*.f64 dx k1) #s(literal -1/2 binary64)) dx))) (+.f64 dx (*.f64 (*.f64 (*.f64 dx k1) #s(literal -1/2 binary64)) dx)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx) #s(literal 3 binary64)) (pow.f64 dx #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx) (-.f64 (*.f64 dx dx) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx) dx))))
(/.f64 (-.f64 (pow.f64 dx #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 dx k1) #s(literal -1/2 binary64)) dx) #s(literal 3 binary64))) (fma.f64 dx dx (fma.f64 (*.f64 (*.f64 (*.f64 dx k1) #s(literal -1/2 binary64)) dx) (*.f64 (*.f64 (*.f64 dx k1) #s(literal -1/2 binary64)) dx) (*.f64 dx (*.f64 (*.f64 (*.f64 dx k1) #s(literal -1/2 binary64)) dx)))))
(neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 dx k1) #s(literal -1/2 binary64)) dx) dx))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) k1) (neg.f64 (fabs.f64 dx))) (neg.f64 (fabs.f64 dx)) (*.f64 dx #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) k1) (neg.f64 (fabs.f64 dx))) (neg.f64 (fabs.f64 dx)) (*.f64 #s(literal 1 binary64) dx))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) k1) (neg.f64 (fabs.f64 dx))) (neg.f64 (fabs.f64 dx)) dx)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 dx) k1)) (fabs.f64 dx) (*.f64 dx #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 dx) k1)) (fabs.f64 dx) (*.f64 #s(literal 1 binary64) dx))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 dx) k1)) (fabs.f64 dx) dx)
(fma.f64 (*.f64 (neg.f64 dx) (*.f64 #s(literal -1/2 binary64) dx)) k1 (*.f64 dx #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 dx) (*.f64 #s(literal -1/2 binary64) dx)) k1 (*.f64 #s(literal 1 binary64) dx))
(fma.f64 (*.f64 (neg.f64 dx) (*.f64 #s(literal -1/2 binary64) dx)) k1 dx)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 dx)) (*.f64 (fabs.f64 dx) k1) (*.f64 dx #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 dx)) (*.f64 (fabs.f64 dx) k1) (*.f64 #s(literal 1 binary64) dx))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 dx)) (*.f64 (fabs.f64 dx) k1) dx)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 dx)) (*.f64 (neg.f64 k1) dx) (*.f64 dx #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 dx)) (*.f64 (neg.f64 k1) dx) (*.f64 #s(literal 1 binary64) dx))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 dx)) (*.f64 (neg.f64 k1) dx) dx)
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) dx) dx) (neg.f64 k1) (*.f64 dx #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) dx) dx) (neg.f64 k1) (*.f64 #s(literal 1 binary64) dx))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) dx) dx) (neg.f64 k1) dx)
(fma.f64 (*.f64 (fabs.f64 dx) k1) (*.f64 (fabs.f64 dx) #s(literal 1/2 binary64)) (*.f64 dx #s(literal 1 binary64)))
(fma.f64 (*.f64 (fabs.f64 dx) k1) (*.f64 (fabs.f64 dx) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) dx))
(fma.f64 (*.f64 (fabs.f64 dx) k1) (*.f64 (fabs.f64 dx) #s(literal 1/2 binary64)) dx)
(fma.f64 (*.f64 #s(literal -1/2 binary64) k1) (*.f64 (neg.f64 dx) dx) (*.f64 dx #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) k1) (*.f64 (neg.f64 dx) dx) (*.f64 #s(literal 1 binary64) dx))
(fma.f64 (*.f64 #s(literal -1/2 binary64) k1) (*.f64 (neg.f64 dx) dx) dx)
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) dx) dx) k1 (*.f64 dx #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) dx) dx) k1 (*.f64 #s(literal 1 binary64) dx))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) dx) dx) k1 dx)
(fma.f64 (*.f64 (*.f64 (fabs.f64 dx) #s(literal 1/2 binary64)) k1) (fabs.f64 dx) (*.f64 dx #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (fabs.f64 dx) #s(literal 1/2 binary64)) k1) (fabs.f64 dx) (*.f64 #s(literal 1 binary64) dx))
(fma.f64 (*.f64 (*.f64 (fabs.f64 dx) #s(literal 1/2 binary64)) k1) (fabs.f64 dx) dx)
(fma.f64 (*.f64 (neg.f64 dx) dx) (*.f64 #s(literal -1/2 binary64) k1) (*.f64 dx #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 dx) dx) (*.f64 #s(literal -1/2 binary64) k1) (*.f64 #s(literal 1 binary64) dx))
(fma.f64 (*.f64 (neg.f64 dx) dx) (*.f64 #s(literal -1/2 binary64) k1) dx)
(fma.f64 (*.f64 (*.f64 (neg.f64 k1) dx) dx) #s(literal -1/2 binary64) (*.f64 dx #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (neg.f64 k1) dx) dx) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) dx))
(fma.f64 (*.f64 (*.f64 (neg.f64 k1) dx) dx) #s(literal -1/2 binary64) dx)
(fma.f64 (neg.f64 (fabs.f64 dx)) (*.f64 (neg.f64 (fabs.f64 dx)) (*.f64 #s(literal 1/2 binary64) k1)) (*.f64 dx #s(literal 1 binary64)))
(fma.f64 (neg.f64 (fabs.f64 dx)) (*.f64 (neg.f64 (fabs.f64 dx)) (*.f64 #s(literal 1/2 binary64) k1)) (*.f64 #s(literal 1 binary64) dx))
(fma.f64 (neg.f64 (fabs.f64 dx)) (*.f64 (neg.f64 (fabs.f64 dx)) (*.f64 #s(literal 1/2 binary64) k1)) dx)
(fma.f64 (*.f64 (neg.f64 k1) dx) (*.f64 (neg.f64 dx) #s(literal 1/2 binary64)) (*.f64 dx #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 k1) dx) (*.f64 (neg.f64 dx) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) dx))
(fma.f64 (*.f64 (neg.f64 k1) dx) (*.f64 (neg.f64 dx) #s(literal 1/2 binary64)) dx)
(fma.f64 (*.f64 (neg.f64 k1) dx) (*.f64 #s(literal -1/2 binary64) dx) (*.f64 dx #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 k1) dx) (*.f64 #s(literal -1/2 binary64) dx) (*.f64 #s(literal 1 binary64) dx))
(fma.f64 (*.f64 (neg.f64 k1) dx) (*.f64 #s(literal -1/2 binary64) dx) dx)
(fma.f64 (*.f64 #s(literal -1/2 binary64) dx) (*.f64 (neg.f64 k1) dx) (*.f64 dx #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) dx) (*.f64 (neg.f64 k1) dx) (*.f64 #s(literal 1 binary64) dx))
(fma.f64 (*.f64 #s(literal -1/2 binary64) dx) (*.f64 (neg.f64 k1) dx) dx)
(fma.f64 (*.f64 #s(literal 1/2 binary64) k1) (*.f64 dx dx) (*.f64 dx #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) k1) (*.f64 dx dx) (*.f64 #s(literal 1 binary64) dx))
(fma.f64 (*.f64 #s(literal 1/2 binary64) k1) (*.f64 dx dx) dx)
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(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx dx) k1) dx)
(fma.f64 (*.f64 (*.f64 dx dx) k1) #s(literal 1/2 binary64) (*.f64 dx #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 dx dx) k1) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) dx))
(fma.f64 (*.f64 (*.f64 dx dx) k1) #s(literal 1/2 binary64) dx)
(fma.f64 (*.f64 dx dx) (*.f64 #s(literal 1/2 binary64) k1) (*.f64 dx #s(literal 1 binary64)))
(fma.f64 (*.f64 dx dx) (*.f64 #s(literal 1/2 binary64) k1) (*.f64 #s(literal 1 binary64) dx))
(fma.f64 (*.f64 dx dx) (*.f64 #s(literal 1/2 binary64) k1) dx)
(fma.f64 (*.f64 (*.f64 dx k1) #s(literal -1/2 binary64)) (neg.f64 dx) (*.f64 dx #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 dx k1) #s(literal -1/2 binary64)) (neg.f64 dx) (*.f64 #s(literal 1 binary64) dx))
(fma.f64 (*.f64 (*.f64 dx k1) #s(literal -1/2 binary64)) (neg.f64 dx) dx)
(fma.f64 (*.f64 dx k1) (*.f64 #s(literal 1/2 binary64) dx) (*.f64 dx #s(literal 1 binary64)))
(fma.f64 (*.f64 dx k1) (*.f64 #s(literal 1/2 binary64) dx) (*.f64 #s(literal 1 binary64) dx))
(fma.f64 (*.f64 dx k1) (*.f64 #s(literal 1/2 binary64) dx) dx)
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 k1) dx) dx) (*.f64 dx #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 k1) dx) dx) (*.f64 #s(literal 1 binary64) dx))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 k1) dx) dx) dx)
(fma.f64 #s(literal 1 binary64) dx (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx))
(fma.f64 dx (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) (*.f64 dx #s(literal 1 binary64)))
(fma.f64 dx (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) (*.f64 #s(literal 1 binary64) dx))
(fma.f64 dx (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx)
(fma.f64 dx #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx))
(fma.f64 k1 (*.f64 (*.f64 #s(literal -1/2 binary64) dx) (neg.f64 dx)) (*.f64 dx #s(literal 1 binary64)))
(fma.f64 k1 (*.f64 (*.f64 #s(literal -1/2 binary64) dx) (neg.f64 dx)) (*.f64 #s(literal 1 binary64) dx))
(fma.f64 k1 (*.f64 (*.f64 #s(literal -1/2 binary64) dx) (neg.f64 dx)) dx)
(fma.f64 k1 (*.f64 (*.f64 #s(literal 1/2 binary64) dx) dx) (*.f64 dx #s(literal 1 binary64)))
(fma.f64 k1 (*.f64 (*.f64 #s(literal 1/2 binary64) dx) dx) (*.f64 #s(literal 1 binary64) dx))
(fma.f64 k1 (*.f64 (*.f64 #s(literal 1/2 binary64) dx) dx) dx)
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx) (neg.f64 dx))
(-.f64 dx (*.f64 (*.f64 (*.f64 dx k1) #s(literal -1/2 binary64)) dx))
(+.f64 (*.f64 dx #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx))
(+.f64 (*.f64 #s(literal 1 binary64) dx) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx) (*.f64 dx #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx) (*.f64 #s(literal 1 binary64) dx))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx) dx)
(+.f64 dx (*.f64 (neg.f64 (*.f64 (neg.f64 k1) dx)) (*.f64 #s(literal 1/2 binary64) dx)))
(+.f64 dx (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)) dx))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 dx k1) #s(literal 1 binary64)) dx))
(*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))))
(fma.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 1 binary64) (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 0 binary64)))
(fma.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))))
(fma.f64 #s(literal 1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (*.f64 #s(literal 0 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))))
(+.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 0 binary64)))
(+.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (*.f64 #s(literal 0 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))))
(*.f64 (/.f64 #s(literal -1 binary64) k1) (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))))
(*.f64 (/.f64 #s(literal 1 binary64) k1) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))
(*.f64 (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))) (/.f64 #s(literal -1 binary64) k1))
(*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (/.f64 #s(literal 1 binary64) k1))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) k1)) (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 2 binary64))) (*.f64 (neg.f64 k1) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) k1))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (neg.f64 k1)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))) (*.f64 #s(literal -2 binary64) (neg.f64 k1)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal -1 binary64))) (*.f64 #s(literal -2 binary64) (neg.f64 k1)))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))) (*.f64 #s(literal -2 binary64) (neg.f64 k1)))
(/.f64 (*.f64 #s(literal -2 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))) (*.f64 #s(literal -2 binary64) k1))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 k1)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))) (*.f64 #s(literal 2 binary64) (neg.f64 k1)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 k1)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))) (*.f64 #s(literal 2 binary64) (neg.f64 k1)))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))) (*.f64 #s(literal 2 binary64) k1))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 k1)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))) (*.f64 #s(literal 1 binary64) (neg.f64 k1)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 k1)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))) (*.f64 #s(literal 1 binary64) (neg.f64 k1)))
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 k1)))
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 k1))))
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) k1)))
(/.f64 (*.f64 (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) k1))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 k1)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) k1) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 2 binary64))) (*.f64 k1 #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))) #s(literal 1 binary64))) k1)
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))) k1)
(/.f64 (*.f64 (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))) #s(literal 1 binary64)) (neg.f64 k1))
(/.f64 (*.f64 #s(literal -1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))) (neg.f64 k1))
(/.f64 (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal -1 binary64)) (*.f64 k1 #s(literal -1 binary64)))
(/.f64 (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal -1 binary64)) (neg.f64 k1))
(/.f64 (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))) (*.f64 k1 #s(literal -1 binary64)))
(/.f64 (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))) (neg.f64 k1))
(/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 k1) (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))))
(/.f64 #s(literal 1 binary64) (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))))
(neg.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (neg.f64 k1)))

eval27.0ms (1.6%)

Memory
24.7MiB live, 24.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 6 955 to 1 141 computations (83.6% saved)

prune13.0ms (0.8%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New3373340
Fresh000
Picked404
Done-253
Total3398347
Accuracy
100.0%
Counts
347 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.4%
(/.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) k1)
77.0%
(/.f64 (expm1.f64 (*.f64 dx k1)) k1)
56.7%
(/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)
56.5%
(/.f64 #s(literal 1 binary64) (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))))
56.5%
(*.f64 (/.f64 #s(literal 1 binary64) k1) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))
79.5%
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (fma.f64 (*.f64 (*.f64 dx k1) dx) #s(literal 1/2 binary64) dx))
79.5%
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (fma.f64 (*.f64 (*.f64 dx dx) k1) #s(literal 1/2 binary64) dx))
79.6%
#s(approx (/ (- (exp (* k1 dx)) 1) k1) dx)
Compiler

Compiled 100 to 76 computations (24.0% saved)

sample0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
1
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 4 to 4 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 (1.1%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0180629
Stop Event
iter-limit
Counts
13 → 31
Calls
Call 1
Inputs
k1
dx
(*.f64 dx k1)
(*.f64 (*.f64 dx k1) dx)
#s(literal 1/2 binary64)
(fma.f64 (*.f64 (*.f64 dx k1) dx) #s(literal 1/2 binary64) dx)
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (fma.f64 (*.f64 (*.f64 dx k1) dx) #s(literal 1/2 binary64) dx))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) k1)
#s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))
(*.f64 (/.f64 #s(literal 1 binary64) k1) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))
(/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))
(/.f64 #s(literal 1 binary64) (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))))
Outputs
#s(approx k1 k1)
#s(approx (* dx k1) (*.f64 dx k1))
#s(approx (* (* dx k1) dx) (*.f64 (pow.f64 dx #s(literal 2 binary64)) k1))
#s(approx (+ (* (* (* dx k1) dx) 1/2) dx) dx)
#s(approx (+ (* (* (* dx k1) dx) 1/2) dx) (+.f64 dx (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 dx #s(literal 2 binary64)) k1))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (+.f64 dx (*.f64 k1 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 dx #s(literal 3 binary64)) k1) (*.f64 #s(literal 1/2 binary64) (pow.f64 dx #s(literal 2 binary64)))))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (+.f64 dx (*.f64 k1 (fma.f64 #s(literal 1/2 binary64) (pow.f64 dx #s(literal 2 binary64)) (*.f64 k1 (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 dx #s(literal 4 binary64)) k1) (*.f64 #s(literal 1/6 binary64) (pow.f64 dx #s(literal 3 binary64)))))))))
#s(approx (/ 1 k1) (/.f64 #s(literal 1 binary64) k1))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 k1 (+.f64 dx (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 dx #s(literal 2 binary64)) k1)))))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 k1 (+.f64 dx (*.f64 k1 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 dx #s(literal 3 binary64)) k1) (*.f64 #s(literal 1/2 binary64) (pow.f64 dx #s(literal 2 binary64))))))))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 k1 (+.f64 dx (*.f64 k1 (fma.f64 #s(literal 1/2 binary64) (pow.f64 dx #s(literal 2 binary64)) (*.f64 k1 (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 dx #s(literal 4 binary64)) k1) (*.f64 #s(literal 1/6 binary64) (pow.f64 dx #s(literal 3 binary64))))))))))
#s(approx (/ k1 (- (exp (* k1 dx)) 1)) (/.f64 #s(literal 1 binary64) dx))
#s(approx (/ k1 (- (exp (* k1 dx)) 1)) (fma.f64 #s(literal -1/2 binary64) k1 (/.f64 #s(literal 1 binary64) dx)))
#s(approx (/ k1 (- (exp (* k1 dx)) 1)) (fma.f64 k1 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 k1 (fma.f64 #s(literal -1/4 binary64) dx (*.f64 #s(literal 1/6 binary64) dx)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) dx)))
#s(approx (/ k1 (- (exp (* k1 dx)) 1)) (fma.f64 k1 (-.f64 (*.f64 k1 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 k1 (fma.f64 #s(literal -1/2 binary64) (*.f64 dx (fma.f64 #s(literal -1/4 binary64) dx (*.f64 #s(literal 1/6 binary64) dx))) (fma.f64 #s(literal -1/12 binary64) (pow.f64 dx #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 dx #s(literal 2 binary64))))))) (fma.f64 #s(literal -1/4 binary64) dx (*.f64 #s(literal 1/6 binary64) dx)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) dx)))
#s(approx (+ (* (* (* dx k1) dx) 1/2) dx) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 dx #s(literal 2 binary64)) k1)))
#s(approx (+ (* (* (* dx k1) dx) 1/2) dx) (*.f64 k1 (fma.f64 #s(literal 1/2 binary64) (pow.f64 dx #s(literal 2 binary64)) (/.f64 dx k1))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (/.f64 (expm1.f64 (*.f64 dx k1)) k1))
#s(approx (- (exp (* k1 dx)) 1) (expm1.f64 (*.f64 dx k1)))
#s(approx (/ k1 (- (exp (* k1 dx)) 1)) (/.f64 k1 (expm1.f64 (*.f64 dx k1))))
#s(approx (+ (* (* (* dx k1) dx) 1/2) dx) (*.f64 #s(literal -1 binary64) (*.f64 k1 (fma.f64 #s(literal -1 binary64) (/.f64 dx k1) (*.f64 #s(literal -1/2 binary64) (pow.f64 dx #s(literal 2 binary64)))))))
#s(approx (+ (* (* (* dx k1) dx) 1/2) dx) (*.f64 dx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (*.f64 dx (+.f64 #s(literal 1 binary64) (*.f64 dx (fma.f64 #s(literal 1/6 binary64) (*.f64 dx (pow.f64 k1 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) k1))))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (*.f64 dx (+.f64 #s(literal 1 binary64) (*.f64 dx (fma.f64 #s(literal 1/2 binary64) k1 (*.f64 dx (fma.f64 #s(literal 1/24 binary64) (*.f64 dx (pow.f64 k1 #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 k1 #s(literal 2 binary64))))))))))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 dx (+.f64 k1 (*.f64 #s(literal 1/2 binary64) (*.f64 dx (pow.f64 k1 #s(literal 2 binary64)))))))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 dx (+.f64 k1 (*.f64 dx (fma.f64 #s(literal 1/6 binary64) (*.f64 dx (pow.f64 k1 #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 k1 #s(literal 2 binary64))))))))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 dx (+.f64 k1 (*.f64 dx (fma.f64 #s(literal 1/2 binary64) (pow.f64 k1 #s(literal 2 binary64)) (*.f64 dx (fma.f64 #s(literal 1/24 binary64) (*.f64 dx (pow.f64 k1 #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 k1 #s(literal 3 binary64))))))))))
#s(approx (/ k1 (- (exp (* k1 dx)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 dx k1))) dx))
#s(approx (/ k1 (- (exp (* k1 dx)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 dx (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 dx (fma.f64 #s(literal -1/4 binary64) (pow.f64 k1 #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 k1 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) k1)))) dx))
#s(approx (/ k1 (- (exp (* k1 dx)) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 dx (-.f64 (*.f64 dx (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 dx (fma.f64 #s(literal -1/2 binary64) (*.f64 k1 (fma.f64 #s(literal -1/4 binary64) (pow.f64 k1 #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 k1 #s(literal 2 binary64))))) (fma.f64 #s(literal -1/12 binary64) (pow.f64 k1 #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 k1 #s(literal 3 binary64))))))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 k1 #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 k1 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) k1)))) dx))
#s(approx (+ (* (* (* dx k1) dx) 1/2) dx) (*.f64 (pow.f64 dx #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) k1 (/.f64 #s(literal 1 binary64) dx))))
Calls

6 calls:

TimeVariablePoint
2.0ms
k1
-inf
2.0ms
dx
-inf
1.0ms
dx
inf
1.0ms
k1
inf
1.0ms
k1
0

rewrite136.0ms (8.4%)

Memory
-26.0MiB live, 59.0MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01790
02586
111086
238886
3174186
0444376
Stop Event
iter-limit
node-limit
iter-limit
Counts
13 → 389
Calls
Call 1
Inputs
k1
dx
(*.f64 dx k1)
(*.f64 (*.f64 dx k1) dx)
#s(literal 1/2 binary64)
(fma.f64 (*.f64 (*.f64 dx k1) dx) #s(literal 1/2 binary64) dx)
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (fma.f64 (*.f64 (*.f64 dx k1) dx) #s(literal 1/2 binary64) dx))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) k1)
#s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))
(*.f64 (/.f64 #s(literal 1 binary64) k1) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))
(/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))
(/.f64 #s(literal 1 binary64) (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))))
Outputs
k1
dx
(*.f64 dx k1)
(*.f64 k1 dx)
(*.f64 (*.f64 dx dx) k1)
(*.f64 (*.f64 dx k1) dx)
(*.f64 dx (*.f64 dx k1))
(*.f64 k1 (*.f64 dx dx))
#s(literal 1/2 binary64)
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) dx) k1 #s(literal 1 binary64)) dx)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 dx k1) dx)) dx)) dx)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)) dx)) dx)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 dx) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 dx (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)))
(/.f64 (-.f64 (*.f64 dx dx) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)))) (-.f64 dx (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx))))
(/.f64 (-.f64 (*.f64 dx dx) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 dx k1) dx)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 dx k1) dx)))) (+.f64 dx (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 dx k1) dx))))
(/.f64 (-.f64 (pow.f64 dx #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 dx k1) dx)) #s(literal 3 binary64))) (fma.f64 dx dx (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 dx k1) dx)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 dx k1) dx)) (*.f64 dx (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 dx k1) dx))))))
(/.f64 (+.f64 (pow.f64 dx #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)) #s(literal 3 binary64))) (fma.f64 dx dx (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx))) (*.f64 dx (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)) #s(literal 3 binary64)) (pow.f64 (neg.f64 dx) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)) (+.f64 (*.f64 dx dx) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)) (neg.f64 dx)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx))) (*.f64 dx dx)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)) (neg.f64 dx)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx))) (*.f64 dx dx)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)) dx))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)) #s(literal 3 binary64)) (pow.f64 dx #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)) (-.f64 (*.f64 dx dx) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)) dx))))
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 dx k1) dx)) dx))
(neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx) dx)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 dx dx)) k1 dx)
(fma.f64 (*.f64 #s(literal 1/2 binary64) k1) (*.f64 dx dx) dx)
(fma.f64 (*.f64 dx dx) (*.f64 k1 #s(literal 1/2 binary64)) dx)
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) dx) k1) dx dx)
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) dx) dx) k1 dx)
(fma.f64 (*.f64 #s(literal 1/2 binary64) dx) (*.f64 dx k1) dx)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx) dx)
(fma.f64 (*.f64 (*.f64 dx k1) dx) #s(literal 1/2 binary64) dx)
(fma.f64 (*.f64 dx k1) (*.f64 #s(literal 1/2 binary64) dx) dx)
(fma.f64 dx (*.f64 (*.f64 #s(literal 1/2 binary64) dx) k1) dx)
(fma.f64 k1 (*.f64 (*.f64 #s(literal 1/2 binary64) dx) dx) dx)
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)) (neg.f64 dx))
(-.f64 dx (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 dx k1) dx)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)) dx)
(+.f64 dx (*.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 dx) k1) dx)) #s(literal 1/2 binary64)))
(+.f64 dx (*.f64 (neg.f64 (*.f64 (neg.f64 dx) k1)) (*.f64 #s(literal 1/2 binary64) dx)))
(+.f64 dx (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 dx k1) dx))))
(+.f64 dx (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx)))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 dx k1) dx) dx))
#s(literal 1 binary64)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) k1))
(*.f64 (/.f64 #s(literal -1 binary64) k1) #s(literal -1 binary64))
(*.f64 (pow.f64 k1 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 k1 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) k1))
(*.f64 (/.f64 #s(literal 1 binary64) k1) (pow.f64 k1 #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) k1) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) k1) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) k1))
(pow.f64 k1 #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) k1) #s(literal 2 binary64)) k1 #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) k1))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) k1)) k1 #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) k1))
(/.f64 (fma.f64 #s(literal -2 binary64) k1 (*.f64 (*.f64 (neg.f64 k1) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (*.f64 (neg.f64 k1) #s(literal 2 binary64)) k1))
(/.f64 (fma.f64 #s(literal -2 binary64) k1 (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 k1)) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 k1)) k1))
(/.f64 (fma.f64 #s(literal 2 binary64) k1 (*.f64 (*.f64 k1 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (*.f64 k1 #s(literal 2 binary64)) k1))
(/.f64 (fma.f64 #s(literal 2 binary64) k1 (*.f64 (*.f64 #s(literal 2 binary64) k1) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) k1) k1))
(/.f64 (+.f64 (neg.f64 k1) (*.f64 (neg.f64 k1) #s(literal 0 binary64))) (*.f64 (neg.f64 k1) k1))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) k1) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) k1))) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) k1) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) k1)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) k1)))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 k1 #s(literal 2 binary64))))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 k1) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 k1)))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 k1) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 k1))))
(/.f64 #s(literal 2 binary64) (*.f64 k1 #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) k1))
(/.f64 (neg.f64 k1) (*.f64 (neg.f64 k1) k1))
(/.f64 #s(literal -1 binary64) (neg.f64 k1))
(/.f64 #s(literal 1 binary64) (/.f64 k1 #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 k1 #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) k1)
(/.f64 k1 (neg.f64 (*.f64 (neg.f64 k1) k1)))
(/.f64 k1 (*.f64 k1 k1))
(neg.f64 (/.f64 #s(literal -1 binary64) k1))
(fma.f64 (/.f64 #s(literal -1 binary64) k1) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) k1) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) k1) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) k1)))
(fma.f64 (/.f64 #s(literal -1 binary64) k1) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) k1))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) k1) (*.f64 (/.f64 #s(literal 1 binary64) k1) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) k1) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) k1)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) k1) (/.f64 #s(literal 0 binary64) k1))
(fma.f64 (/.f64 #s(literal 1 binary64) k1) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) k1) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) k1) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) k1)))
(fma.f64 (/.f64 #s(literal 1 binary64) k1) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) k1))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) k1) (*.f64 (/.f64 #s(literal 1 binary64) k1) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) k1) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) k1)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) k1) (/.f64 #s(literal 0 binary64) k1))
(exp.f64 (*.f64 (log.f64 k1) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) k1) (*.f64 (/.f64 #s(literal 1 binary64) k1) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) k1) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) k1)))
(+.f64 (/.f64 #s(literal 1 binary64) k1) (/.f64 #s(literal 0 binary64) k1))
(*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))
#s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))
(/.f64 (neg.f64 (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))) #s(literal 2 binary64))
(neg.f64 (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))))
(fma.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 1 binary64) (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 0 binary64)))
(fma.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))))
(fma.f64 #s(literal 1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (*.f64 #s(literal 0 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))))
(+.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (*.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) #s(literal 0 binary64)))
(+.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (*.f64 #s(literal 0 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))))
(*.f64 (pow.f64 (/.f64 k1 #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) k1) #s(literal 1 binary64)) (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))) (/.f64 #s(literal -1 binary64) k1))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) k1) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) k1) #s(literal -1 binary64)) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))) (/.f64 #s(literal 1 binary64) k1))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1))
(*.f64 (/.f64 #s(literal -1 binary64) k1) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))))
(*.f64 (/.f64 #s(literal -1 binary64) k1) (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))))
(*.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (neg.f64 k1)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))) (/.f64 #s(literal -1 binary64) k1))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (neg.f64 k1)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (neg.f64 k1)))
(*.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) (pow.f64 (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
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(/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)
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(neg.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (neg.f64 k1)))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) k1) #s(literal 1 binary64)) (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))) (*.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) #s(literal 0 binary64)))
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(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) k1) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))) (*.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) #s(literal 0 binary64)))
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(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) k1) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))) (/.f64 #s(literal 0 binary64) (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) k1) #s(literal -1 binary64)) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (*.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) #s(literal 0 binary64)))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) k1) #s(literal -1 binary64)) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) k1) #s(literal -1 binary64)) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (/.f64 #s(literal 0 binary64) (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))) (/.f64 #s(literal 1 binary64) k1) (*.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))) (/.f64 #s(literal 1 binary64) k1) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))) (/.f64 #s(literal 1 binary64) k1) (/.f64 #s(literal 0 binary64) (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))))
(fma.f64 (/.f64 #s(literal -1 binary64) k1) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))) (*.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) k1) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)))
(fma.f64 (/.f64 #s(literal -1 binary64) k1) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))) (/.f64 #s(literal 0 binary64) (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))))
(fma.f64 (/.f64 #s(literal -1 binary64) k1) (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))) (*.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) k1) (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)))
(fma.f64 (/.f64 #s(literal -1 binary64) k1) (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))) (/.f64 #s(literal 0 binary64) (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))))
(fma.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (neg.f64 k1)) #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (neg.f64 k1)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)))
(fma.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (neg.f64 k1)) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))))
(fma.f64 (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))) (/.f64 #s(literal -1 binary64) k1) (*.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) #s(literal 0 binary64)))
(fma.f64 (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))) (/.f64 #s(literal -1 binary64) k1) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)))
(fma.f64 (neg.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))) (/.f64 #s(literal -1 binary64) k1) (/.f64 #s(literal 0 binary64) (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (neg.f64 k1)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (neg.f64 k1)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (neg.f64 k1)) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (neg.f64 k1)) (*.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (neg.f64 k1)) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (neg.f64 k1)) (/.f64 #s(literal 0 binary64) (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))))
(fma.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)))
(fma.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))))
(fma.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (/.f64 #s(literal 1 binary64) k1) (*.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) #s(literal 0 binary64)))
(fma.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (/.f64 #s(literal 1 binary64) k1) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)))
(fma.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (/.f64 #s(literal 1 binary64) k1) (/.f64 #s(literal 0 binary64) (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))))
(fma.f64 (/.f64 #s(literal 1 binary64) k1) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))) (*.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) k1) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)))
(fma.f64 (/.f64 #s(literal 1 binary64) k1) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))) (/.f64 #s(literal 0 binary64) (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))))
(fma.f64 (/.f64 #s(literal 1 binary64) k1) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (*.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) k1) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)))
(fma.f64 (/.f64 #s(literal 1 binary64) k1) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) (/.f64 #s(literal 0 binary64) (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) (*.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) (/.f64 #s(literal 0 binary64) (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))))
(exp.f64 (*.f64 (log.f64 (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) (*.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)))
(+.f64 (/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1) (/.f64 #s(literal 0 binary64) (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))))

eval23.0ms (1.4%)

Memory
24.6MiB live, 24.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 7 400 to 826 computations (88.8% saved)

prune12.0ms (0.8%)

Memory
8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New3032305
Fresh000
Picked303
Done-385
Total30310313
Accuracy
100.0%
Counts
313 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.4%
(/.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) k1)
77.0%
(/.f64 (expm1.f64 (*.f64 dx k1)) k1)
56.7%
(/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)
56.5%
(/.f64 #s(literal 1 binary64) (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))))
80.9%
(/.f64 #s(literal 1 binary64) #s(approx (/ k1 (- (exp (* k1 dx)) 1)) (fma.f64 #s(literal -1/2 binary64) k1 (/.f64 #s(literal 1 binary64) dx))))
79.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ k1 (- (exp (* k1 dx)) 1)) (/.f64 #s(literal 1 binary64) dx)))
56.5%
(*.f64 (/.f64 #s(literal 1 binary64) k1) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))
79.5%
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (fma.f64 (*.f64 (*.f64 dx k1) dx) #s(literal 1/2 binary64) dx))
79.5%
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (fma.f64 (*.f64 (*.f64 dx dx) k1) #s(literal 1/2 binary64) dx))
79.6%
#s(approx (/ (- (exp (* k1 dx)) 1) k1) dx)
Compiler

Compiled 131 to 100 computations (23.7% saved)

regimes34.0ms (2.1%)

Memory
-52.7MiB live, 25.9MiB allocated; 5ms collecting garbage
Counts
12 → 1
13 → 1
15 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (exp (* k1 dx)) 1) k1) dx)
(/.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) k1)
(/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)
(/.f64 #s(literal 1 binary64) #s(approx (/ k1 (- (exp (* k1 dx)) 1)) (/.f64 #s(literal 1 binary64) dx)))
(*.f64 (/.f64 #s(literal 1 binary64) k1) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))
(/.f64 #s(literal 1 binary64) (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (fma.f64 (*.f64 (*.f64 dx dx) k1) #s(literal 1/2 binary64) dx))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (fma.f64 (*.f64 (*.f64 dx k1) #s(literal 1/2 binary64)) dx dx))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (fma.f64 (*.f64 (*.f64 dx k1) dx) #s(literal 1/2 binary64) dx))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (*.f64 dx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (-.f64 dx (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 dx k1)) dx)))
(/.f64 (-.f64 #s(approx (exp (* k1 dx)) (+.f64 #s(literal 1 binary64) (*.f64 dx k1))) #s(literal 1 binary64)) k1)
Outputs
#s(approx (/ (- (exp (* k1 dx)) 1) k1) dx)
Call 2
Inputs
#s(approx (/ (- (exp (* k1 dx)) 1) k1) dx)
(/.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) k1)
(/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)
(/.f64 #s(literal 1 binary64) #s(approx (/ k1 (- (exp (* k1 dx)) 1)) (/.f64 #s(literal 1 binary64) dx)))
(*.f64 (/.f64 #s(literal 1 binary64) k1) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))
(/.f64 #s(literal 1 binary64) (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (fma.f64 (*.f64 (*.f64 dx dx) k1) #s(literal 1/2 binary64) dx))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (fma.f64 (*.f64 (*.f64 dx k1) #s(literal 1/2 binary64)) dx dx))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (fma.f64 (*.f64 (*.f64 dx k1) dx) #s(literal 1/2 binary64) dx))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (*.f64 dx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (-.f64 dx (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 dx k1)) dx)))
(/.f64 (-.f64 #s(approx (exp (* k1 dx)) (+.f64 #s(literal 1 binary64) (*.f64 dx k1))) #s(literal 1 binary64)) k1)
(/.f64 #s(literal 1 binary64) #s(approx (/ k1 (- (exp (* k1 dx)) 1)) (fma.f64 #s(literal -1/2 binary64) k1 (/.f64 #s(literal 1 binary64) dx))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ k1 (- (exp (* k1 dx)) 1)) (fma.f64 #s(literal -1/2 binary64) k1 (/.f64 #s(literal 1 binary64) dx))))
Call 3
Inputs
#s(approx (/ (- (exp (* k1 dx)) 1) k1) dx)
(/.f64 (-.f64 #s(approx (exp (* k1 dx)) #s(literal 1 binary64)) #s(literal 1 binary64)) k1)
(/.f64 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)) k1)
(/.f64 #s(literal 1 binary64) #s(approx (/ k1 (- (exp (* k1 dx)) 1)) (/.f64 #s(literal 1 binary64) dx)))
(*.f64 (/.f64 #s(literal 1 binary64) k1) #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1)))
(/.f64 #s(literal 1 binary64) (/.f64 k1 #s(approx (- (exp (* k1 dx)) 1) (*.f64 dx k1))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (fma.f64 (*.f64 (*.f64 dx dx) k1) #s(literal 1/2 binary64) dx))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (fma.f64 (*.f64 (*.f64 dx k1) #s(literal 1/2 binary64)) dx dx))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (fma.f64 (*.f64 (*.f64 dx k1) dx) #s(literal 1/2 binary64) dx))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (*.f64 dx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 dx k1)))))
#s(approx (/ (- (exp (* k1 dx)) 1) k1) (-.f64 dx (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 dx k1)) dx)))
(/.f64 (-.f64 #s(approx (exp (* k1 dx)) (+.f64 #s(literal 1 binary64) (*.f64 dx k1))) #s(literal 1 binary64)) k1)
(/.f64 #s(literal 1 binary64) #s(approx (/ k1 (- (exp (* k1 dx)) 1)) (fma.f64 #s(literal -1/2 binary64) k1 (/.f64 #s(literal 1 binary64) dx))))
(/.f64 (expm1.f64 (*.f64 dx k1)) k1)
(/.f64 (-.f64 (exp.f64 (*.f64 k1 dx)) #s(literal 1 binary64)) k1)
Outputs
#s(approx (/ (- (exp (* k1 dx)) 1) k1) dx)
(/.f64 (expm1.f64 (*.f64 dx k1)) k1)
Calls

9 calls:

6.0ms
dx
4.0ms
dx
4.0ms
k1
3.0ms
k1
3.0ms
dx
Results
AccuracySegmentsBranch
79.6%1(/.f64 (-.f64 (exp.f64 (*.f64 k1 dx)) #s(literal 1 binary64)) k1)
79.6%1k1
79.6%1dx
80.9%1dx
80.9%1k1
80.9%1(/.f64 (-.f64 (exp.f64 (*.f64 k1 dx)) #s(literal 1 binary64)) k1)
100.0%2(/.f64 (-.f64 (exp.f64 (*.f64 k1 dx)) #s(literal 1 binary64)) k1)
100.0%3k1
91.8%2dx
Compiler

Compiled 236 to 89 computations (62.3% saved)

bsearch0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
4.995603712861725e-306
Compiler

Compiled 18 to 15 computations (16.7% saved)

derivations31.0ms (1.9%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 54 to 25 computations (53.7% saved)

preprocess15.0ms (1.0%)

Memory
16.6MiB live, 16.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 62 to 32 computations (48.4% saved)

end0.0ms (0.0%)

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

Profiling

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