expax (section 3.5)

Time bar (total: 1.8s)

start0.0ms (0%)

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

analyze18.0ms (1%)

Memory
31.1MiB live, 31.1MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
66.7%62.4%31.2%0.1%0%6.2%0%6
75.9%68.7%21.9%0.1%0%9.4%0%7
80%68.7%17.2%0.1%0%14%0%8
86%71.8%11.7%0.1%0%16.4%0%9
88.9%71.8%9%0.1%0%19.1%0%10
92.4%73.4%6%0.1%0%20.5%0%11
94.1%73.4%4.6%0.1%0%22%0%12
Compiler

Compiled 12 to 7 computations (41.7% saved)

sample851.0ms (48.1%)

Memory
-131.5MiB live, 587.9MiB allocated; 864ms collecting garbage
Samples
608.0ms8 256×0valid
14.0ms295×0invalid
Precisions
Click to see histograms. Total time spent on operations: 123.0ms
ival-expm1: 68.0ms (55.4% of total)
ival-mult!: 51.0ms (41.5% of total)
adjust: 2.0ms (1.6% of total)
ival->: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

preprocess29.0ms (1.7%)

Memory
30.5MiB live, 30.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01940
16440
213440
360840
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Symmetry

(sort a x)

Compiler

Compiled 12 to 12 computations (0% saved)

series8.0ms (0.5%)

Memory
10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

6 calls:

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

rewrite56.0ms (3.2%)

Memory
-1.4MiB live, 42.4MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
0916
14016
031514
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
6 → 53
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 1 binary64)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a)))) (exp.f64 (*.f64 x a)))
(*.f64 (neg.f64 (expm1.f64 (neg.f64 (*.f64 x a)))) (exp.f64 (*.f64 x a)))
(*.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))
(*.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))))))
(*.f64 (exp.f64 (*.f64 x a)) (neg.f64 (expm1.f64 (neg.f64 (*.f64 x a)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))))))
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64)))))
(neg.f64 (neg.f64 (expm1.f64 (*.f64 x a))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))) (cosh.f64 (*.f64 x a)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (expm1.f64 (neg.f64 (*.f64 x a)))) (cosh.f64 (*.f64 x a)) (*.f64 (neg.f64 (expm1.f64 (neg.f64 (*.f64 x a)))) (sinh.f64 (*.f64 x a))))
(fma.f64 (cosh.f64 (*.f64 x a)) (neg.f64 (expm1.f64 (neg.f64 (*.f64 x a)))) (*.f64 (sinh.f64 (*.f64 x a)) (neg.f64 (expm1.f64 (neg.f64 (*.f64 x a))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (fma.f64 x a #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(expm1.f64 (*.f64 x a))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))
(+.f64 (*.f64 (neg.f64 (expm1.f64 (neg.f64 (*.f64 x a)))) (cosh.f64 (*.f64 x a))) (*.f64 (neg.f64 (expm1.f64 (neg.f64 (*.f64 x a)))) (sinh.f64 (*.f64 x a))))
(+.f64 (*.f64 (cosh.f64 (*.f64 x a)) (neg.f64 (expm1.f64 (neg.f64 (*.f64 x a))))) (*.f64 (sinh.f64 (*.f64 x a)) (neg.f64 (expm1.f64 (neg.f64 (*.f64 x a))))))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a)))
(+.f64 (cosh.f64 (*.f64 x a)) (+.f64 (sinh.f64 (*.f64 x a)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))) (cosh.f64 (*.f64 x a)))
(*.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a)))
(*.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) a)
(pow.f64 (exp.f64 a) x)
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a))) (*.f64 (sinh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a)))) (-.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)) (-.f64 (*.f64 (sinh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a))) (*.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a))))))
(sqrt.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))))
(-.f64 (cosh.f64 (*.f64 x a)) (neg.f64 (sinh.f64 (*.f64 x a))))
(fabs.f64 (neg.f64 (exp.f64 (*.f64 x a))))
(fabs.f64 (exp.f64 (*.f64 x a)))
(exp.f64 (fma.f64 x a #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(exp.f64 (*.f64 x a))
(+.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))
(+.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a)))
(*.f64 x a)
(*.f64 a x)
a
x
#s(literal 1 binary64)

eval17.0ms (1%)

Memory
-31.1MiB live, 12.7MiB allocated; 10ms collecting garbage
Compiler

Compiled 988 to 216 computations (78.1% saved)

prune3.0ms (0.2%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New60666
Fresh000
Picked101
Done000
Total61667
Accuracy
100.0%
Counts
67 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.8%
(fma.f64 (neg.f64 (expm1.f64 (neg.f64 (*.f64 x a)))) (cosh.f64 (*.f64 x a)) (*.f64 (neg.f64 (expm1.f64 (neg.f64 (*.f64 x a)))) (sinh.f64 (*.f64 x a))))
17.7%
(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
15.8%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
66.8%
(*.f64 (neg.f64 (expm1.f64 (neg.f64 (*.f64 x a)))) (exp.f64 (*.f64 x a)))
100.0%
(expm1.f64 (*.f64 x a))
66.5%
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
Compiler

Compiled 134 to 92 computations (31.3% saved)

series15.0ms (0.8%)

Memory
18.0MiB live, 18.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0256968
Stop Event
iter-limit
Counts
17 → 43
Calls
Call 1
Inputs
(expm1.f64 (*.f64 x a))
(*.f64 x a)
x
a
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(*.f64 a x)
(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x)))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(*.f64 (neg.f64 (expm1.f64 (neg.f64 (*.f64 x a)))) (exp.f64 (*.f64 x a)))
(neg.f64 (expm1.f64 (neg.f64 (*.f64 x a))))
(expm1.f64 (neg.f64 (*.f64 x a)))
(neg.f64 (*.f64 x a))
(exp.f64 (*.f64 x a))
Outputs
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
#s(approx (- (exp (* x a)) 1) (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (exp (* x a)) 1) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (exp (* x a)) 1) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (fma.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))))))
#s(approx a a)
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x)))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* (neg (- (exp (neg (* x a))) 1)) (exp (* x a))) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (neg (- (exp (neg (* x a))) 1)) (exp (* x a))) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (neg (- (exp (neg (* x a))) 1)) (exp (* x a))) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 a (fma.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (neg (- (exp (neg (* x a))) 1)) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))))
#s(approx (neg (- (exp (neg (* x a))) 1)) (*.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) x))))
#s(approx (neg (- (exp (neg (* x a))) 1)) (*.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) x))))
#s(approx (- (exp (neg (* x a))) 1) (*.f64 #s(literal -1 binary64) (*.f64 a x)))
#s(approx (- (exp (neg (* x a))) 1) (*.f64 a (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (exp (neg (* x a))) 1) (*.f64 a (fma.f64 #s(literal -1 binary64) x (*.f64 a (fma.f64 #s(literal -1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (exp (neg (* x a))) 1) (*.f64 a (fma.f64 #s(literal -1 binary64) x (*.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))))))))))
#s(approx (- (exp (* x a)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (exp (* a x)) (exp.f64 (*.f64 a x)))
#s(approx (+ 1 (* a x)) (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))))
#s(approx (* (neg (- (exp (neg (* x a))) 1)) (exp (* x a))) (*.f64 (exp.f64 (*.f64 a x)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 a x))))))
#s(approx (neg (- (exp (neg (* x a))) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 a x)))))
#s(approx (- (exp (neg (* x a))) 1) (expm1.f64 (neg.f64 (*.f64 a x))))
#s(approx (+ 1 (* a x)) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (- (exp (* x a)) 1) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
#s(approx (- (exp (* x a)) 1) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (- (exp (* x a)) 1) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))))))))))
#s(approx x x)
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (* (neg (- (exp (neg (* x a))) 1)) (exp (* x a))) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))))
#s(approx (* (neg (- (exp (neg (* x a))) 1)) (exp (* x a))) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64))))) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (* (neg (- (exp (neg (* x a))) 1)) (exp (* x a))) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 x (fma.f64 #s(literal -1/4 binary64) (pow.f64 a #s(literal 4 binary64)) (fma.f64 #s(literal -1/24 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 a #s(literal 4 binary64))))))))) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (neg (- (exp (neg (* x a))) 1)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) a))))
#s(approx (neg (- (exp (neg (* x a))) 1)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) a))))
#s(approx (neg (- (exp (neg (* x a))) 1)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) a))))
#s(approx (- (exp (neg (* x a))) 1) (*.f64 x (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
#s(approx (- (exp (neg (* x a))) 1) (*.f64 x (fma.f64 #s(literal -1 binary64) a (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (- (exp (neg (* x a))) 1) (*.f64 x (fma.f64 #s(literal -1 binary64) a (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)))))))))
#s(approx (+ 1 (* a x)) (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 (* a x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) x)))))
Calls

6 calls:

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

rewrite336.0ms (19%)

Memory
15.4MiB live, 160.8MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02094
03285
117385
2127785
0821382
Stop Event
iter-limit
node-limit
iter-limit
Counts
17 → 1 301
Calls
Call 1
Inputs
(expm1.f64 (*.f64 x a))
(*.f64 x a)
x
a
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(*.f64 a x)
(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x)))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(*.f64 (neg.f64 (expm1.f64 (neg.f64 (*.f64 x a)))) (exp.f64 (*.f64 x a)))
(neg.f64 (expm1.f64 (neg.f64 (*.f64 x a))))
(expm1.f64 (neg.f64 (*.f64 x a)))
(neg.f64 (*.f64 x a))
(exp.f64 (*.f64 x a))
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (/.f64 (exp.f64 (*.f64 x (+.f64 a a))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 x (+.f64 a a))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (-.f64 (exp.f64 (*.f64 (neg.f64 x) a)) #s(literal -1 binary64))) (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))))
(*.f64 (/.f64 (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 a a)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) a)) #s(literal -1 binary64)) (exp.f64 (*.f64 a x))))) (/.f64 (expm1.f64 (*.f64 a x)) (exp.f64 (*.f64 x (+.f64 a a)))))
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (expm1.f64 (*.f64 a x)))
(*.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (/.f64 (expm1.f64 (*.f64 a x)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(*.f64 (expm1.f64 (*.f64 x (+.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(*.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 a a))))))
(*.f64 (exp.f64 (*.f64 a x)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))) (/.f64 (exp.f64 (*.f64 x (+.f64 a a))) (exp.f64 (*.f64 a x))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))) (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (exp.f64 (*.f64 x (+.f64 a a)))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))) (exp.f64 (*.f64 a x)))
(*.f64 (expm1.f64 (*.f64 (neg.f64 x) a)) (neg.f64 (exp.f64 (*.f64 a x))))
(pow.f64 (/.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (expm1.f64 (*.f64 x (+.f64 a a)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 a a)))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 a a))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (/.f64 (exp.f64 (*.f64 x (+.f64 a a))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) (+.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 a a))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 a a))))) (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 a a)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 a a))))))) (+.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 a a)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))) (cosh.f64 (*.f64 a x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))) (sinh.f64 (*.f64 a x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))) (cosh.f64 (*.f64 a x))) (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))) (cosh.f64 (*.f64 a x))) (-.f64 (*.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))) (sinh.f64 (*.f64 a x))) (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))) (sinh.f64 (*.f64 a x)))) (*.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))) (cosh.f64 (*.f64 a x))) (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))) (sinh.f64 (*.f64 a x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 a x)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (*.f64 a x)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 (*.f64 a x)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a)))) (*.f64 (cosh.f64 (*.f64 a x)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a)))) (-.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 a x)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a)))) (*.f64 (sinh.f64 (*.f64 a x)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))))) (*.f64 (*.f64 (cosh.f64 (*.f64 a x)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a)))) (*.f64 (sinh.f64 (*.f64 a x)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))))))))
(/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 a a))) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 (*.f64 a x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x)) (-.f64 (*.f64 (+.f64 (sinh.f64 (*.f64 a x)) #s(literal -1 binary64)) (+.f64 (sinh.f64 (*.f64 a x)) #s(literal -1 binary64))) (*.f64 (cosh.f64 (*.f64 a x)) (+.f64 (sinh.f64 (*.f64 a x)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x)) (-.f64 (*.f64 (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64))) (*.f64 (cosh.f64 (*.f64 a x)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 a a))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 a a))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (/.f64 (exp.f64 (*.f64 x (+.f64 a a))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 a a))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 a a))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 a a))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 a a))))) (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 a a))))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 a a))))) (*.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 a a)))))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 a a))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 a a))))) (*.f64 (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 a a)))) #s(literal 1 binary64))) (*.f64 (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 a a)))) (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 a a))))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (cosh.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x)) (-.f64 (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x))))) #s(literal 2 binary64))) (*.f64 (fma.f64 (cosh.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x)) (-.f64 (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x))))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (cosh.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x)) (-.f64 (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x))))) #s(literal 1 binary64))) (*.f64 (fma.f64 (cosh.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x)) (-.f64 (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) a))) #s(literal 2 binary64))) (*.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) a))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) a))) #s(literal 1 binary64))) (*.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) a))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (-.f64 (*.f64 (neg.f64 x) a) #s(literal 0 binary64))) #s(literal 2 binary64))) (*.f64 (exp.f64 (-.f64 (*.f64 (neg.f64 x) a) #s(literal 0 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (*.f64 (neg.f64 x) a)) #s(literal 2 binary64))) (*.f64 (exp.f64 (*.f64 (neg.f64 x) a)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x (+.f64 a a))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 a a)))))))
(/.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))) #s(literal 1 binary64)) (exp.f64 (-.f64 (*.f64 (neg.f64 x) a) #s(literal 0 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x (+.f64 a a)))) (neg.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (+.f64 a a))))))
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(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (neg.f64 x) a))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) (/.f64 #s(literal 0 binary64) (exp.f64 (-.f64 (*.f64 (neg.f64 x) a) #s(literal 0 binary64)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) (/.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (neg.f64 x) a))))
(sqrt.f64 (exp.f64 (*.f64 x (+.f64 a a))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 2 binary64)) (exp.f64 (*.f64 (neg.f64 x) a))) (/.f64 (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64)) (exp.f64 (*.f64 (neg.f64 x) a))))
(-.f64 (/.f64 (cosh.f64 (*.f64 a x)) #s(literal 1 binary64)) (/.f64 (sinh.f64 (*.f64 (neg.f64 x) a)) #s(literal 1 binary64)))
(-.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 (neg.f64 x) a)))
(fabs.f64 (-.f64 (sinh.f64 (*.f64 (neg.f64 x) a)) (cosh.f64 (*.f64 a x))))
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 (*.f64 a x)))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (*.f64 a x)))))
(fabs.f64 (/.f64 (neg.f64 (exp.f64 (*.f64 a x))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 a x))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))))
(fabs.f64 (neg.f64 (exp.f64 (*.f64 a x))))
(fabs.f64 (exp.f64 (*.f64 a x)))
(exp.f64 (/.f64 (fma.f64 a x (*.f64 a x)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 x) a) #s(literal -1 binary64)))
(exp.f64 (*.f64 a x))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 3 binary64)) (fma.f64 (cosh.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x)) (-.f64 (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x)))))) (/.f64 (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 3 binary64)) (fma.f64 (cosh.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x)) (-.f64 (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x)))))))
(+.f64 (/.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)) (/.f64 (cosh.f64 (*.f64 a x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (cosh.f64 (*.f64 a x)) #s(literal 1 binary64)) (/.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)))
(+.f64 (sinh.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x)))
(+.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x)))
(+.f64 (exp.f64 (*.f64 a x)) (/.f64 #s(literal 0 binary64) (exp.f64 (-.f64 (*.f64 (neg.f64 x) a) #s(literal 0 binary64)))))
(+.f64 (exp.f64 (*.f64 a x)) (/.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (neg.f64 x) a))))

eval144.0ms (8.1%)

Memory
-7.9MiB live, 178.2MiB allocated; 27ms collecting garbage
Compiler

Compiled 39 757 to 4 038 computations (89.8% saved)

prune20.0ms (1.1%)

Memory
-8.9MiB live, 36.5MiB allocated; 4ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1 20821 210
Fresh101
Picked145
Done000
Total1 21061 216
Accuracy
100.0%
Counts
1 216 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.8%
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))) (exp.f64 (*.f64 (neg.f64 x) a)))
17.7%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
15.8%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
66.8%
(*.f64 (neg.f64 (expm1.f64 (neg.f64 (*.f64 x a)))) (exp.f64 (*.f64 x a)))
100.0%
(expm1.f64 (*.f64 x a))
66.5%
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
Compiler

Compiled 56 to 43 computations (23.2% saved)

series16.0ms (0.9%)

Memory
19.8MiB live, 19.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02751249
Stop Event
iter-limit
Counts
12 → 50
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
x
a
#s(literal 1 binary64)
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))) (exp.f64 (*.f64 (neg.f64 x) a)))
(neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a)))
(expm1.f64 (*.f64 (neg.f64 x) a))
(*.f64 (neg.f64 x) a)
(neg.f64 x)
(exp.f64 (*.f64 (neg.f64 x) a))
Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (exp (* a x)) 1) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (fma.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))))))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x)))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx a a)
#s(approx (/ (neg (- (exp (* (neg x) a)) 1)) (exp (* (neg x) a))) (*.f64 a (+.f64 x (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (neg (- (exp (* (neg x) a)) 1)) (exp (* (neg x) a))) (*.f64 a (+.f64 x (*.f64 a (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (neg (- (exp (* (neg x) a)) 1)) (exp (* (neg x) a))) (*.f64 a (+.f64 x (*.f64 a (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 a (-.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))))))))) (fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (neg (- (exp (* (neg x) a)) 1)) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))))
#s(approx (neg (- (exp (* (neg x) a)) 1)) (*.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) x))))
#s(approx (neg (- (exp (* (neg x) a)) 1)) (*.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) x))))
#s(approx (- (exp (* (neg x) a)) 1) (*.f64 #s(literal -1 binary64) (*.f64 a x)))
#s(approx (- (exp (* (neg x) a)) 1) (*.f64 a (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (exp (* (neg x) a)) 1) (*.f64 a (fma.f64 #s(literal -1 binary64) x (*.f64 a (fma.f64 #s(literal -1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (exp (* (neg x) a)) 1) (*.f64 a (fma.f64 #s(literal -1 binary64) x (*.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))))))))))
#s(approx (exp (* (neg x) a)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 a x))))
#s(approx (exp (* (neg x) a)) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (exp (* (neg x) a)) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) x (*.f64 a (fma.f64 #s(literal -1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (exp (* a x)) (exp.f64 (*.f64 a x)))
#s(approx (+ (* x a) 1) (*.f64 a (+.f64 x (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (neg (- (exp (* (neg x) a)) 1)) (exp (* (neg x) a))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 a x)))) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 a x)))))
#s(approx (neg (- (exp (* (neg x) a)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 a x)))))
#s(approx (- (exp (* (neg x) a)) 1) (expm1.f64 (*.f64 #s(literal -1 binary64) (*.f64 a x))))
#s(approx (exp (* (neg x) a)) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 a x))))
#s(approx (+ (* x a) 1) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (- (exp (* a x)) 1) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
#s(approx (- (exp (* a x)) 1) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (- (exp (* a x)) 1) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))))))))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 a (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx x x)
#s(approx (/ (neg (- (exp (* (neg x) a)) 1)) (exp (* (neg x) a))) (*.f64 x (+.f64 a (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (/ (neg (- (exp (* (neg x) a)) 1)) (exp (* (neg x) a))) (*.f64 x (+.f64 a (*.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64))))))) (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (/ (neg (- (exp (* (neg x) a)) 1)) (exp (* (neg x) a))) (*.f64 x (+.f64 a (*.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64)))))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64))))))))))) (fma.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64))))))) (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (neg (- (exp (* (neg x) a)) 1)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) a))))
#s(approx (neg (- (exp (* (neg x) a)) 1)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) a))))
#s(approx (neg (- (exp (* (neg x) a)) 1)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) a))))
#s(approx (- (exp (* (neg x) a)) 1) (*.f64 x (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
#s(approx (- (exp (* (neg x) a)) 1) (*.f64 x (fma.f64 #s(literal -1 binary64) a (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (- (exp (* (neg x) a)) 1) (*.f64 x (fma.f64 #s(literal -1 binary64) a (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)))))))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (exp (* (neg x) a)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))))
#s(approx (exp (* (neg x) a)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) a (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (+ (* x a) 1) (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* x a) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) x)))))
Calls

6 calls:

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

rewrite49.0ms (2.8%)

Memory
-24.4MiB live, 29.7MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01461
02361
110458
084157
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
12 → 145
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
x
a
#s(literal 1 binary64)
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))) (exp.f64 (*.f64 (neg.f64 x) a)))
(neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a)))
(expm1.f64 (*.f64 (neg.f64 x) a))
(*.f64 (neg.f64 x) a)
(neg.f64 x)
(exp.f64 (*.f64 (neg.f64 x) a))
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64))))
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x
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(-.f64 (exp.f64 (*.f64 (neg.f64 x) a)) #s(literal 1 binary64))
(+.f64 (*.f64 (neg.f64 (expm1.f64 (neg.f64 (*.f64 (neg.f64 x) a)))) (cosh.f64 (*.f64 x a))) (*.f64 (neg.f64 (expm1.f64 (neg.f64 (*.f64 (neg.f64 x) a)))) (sinh.f64 (*.f64 (neg.f64 x) a))))
(+.f64 (*.f64 (cosh.f64 (*.f64 x a)) (neg.f64 (expm1.f64 (neg.f64 (*.f64 (neg.f64 x) a))))) (*.f64 (sinh.f64 (*.f64 (neg.f64 x) a)) (neg.f64 (expm1.f64 (neg.f64 (*.f64 (neg.f64 x) a))))))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (neg.f64 x) a)))
(+.f64 (cosh.f64 (*.f64 x a)) (+.f64 (sinh.f64 (*.f64 (neg.f64 x) a)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 x a)) (-.f64 (sinh.f64 (*.f64 (neg.f64 x) a)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (*.f64 (neg.f64 x) a)) #s(literal -1 binary64))
(*.f64 (neg.f64 a) x)
(*.f64 (neg.f64 x) a)
(*.f64 x (neg.f64 a))
(*.f64 a (neg.f64 x))
(neg.f64 (*.f64 x a))
(neg.f64 x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 (neg.f64 x) a)) (cosh.f64 (*.f64 x a)))) (cosh.f64 (*.f64 x a)))
(*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 (neg.f64 x)) (/.f64 a #s(literal 2 binary64))))
(*.f64 (exp.f64 (*.f64 (neg.f64 x) a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 x) a)))
(pow.f64 (exp.f64 a) (neg.f64 x))
(pow.f64 (exp.f64 (neg.f64 x)) a)
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a))) (*.f64 (sinh.f64 (*.f64 (neg.f64 x) a)) (sinh.f64 (*.f64 (neg.f64 x) a)))) (exp.f64 (*.f64 x a)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (neg.f64 x) a)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)) (-.f64 (*.f64 (sinh.f64 (*.f64 (neg.f64 x) a)) (sinh.f64 (*.f64 (neg.f64 x) a))) (*.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 (neg.f64 x) a))))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a)))
(sqrt.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 x) a) #s(literal 2 binary64))))
(-.f64 (cosh.f64 (*.f64 x a)) (neg.f64 (sinh.f64 (*.f64 (neg.f64 x) a))))
(-.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a)))
(fabs.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) a))))
(fabs.f64 (exp.f64 (*.f64 (neg.f64 x) a)))
(exp.f64 (fma.f64 (neg.f64 a) x #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 x))) a))
(exp.f64 (*.f64 (neg.f64 x) a))
(+.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 (neg.f64 x) a)))
(+.f64 (sinh.f64 (*.f64 (neg.f64 x) a)) (cosh.f64 (*.f64 x a)))

eval17.0ms (1%)

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

Compiled 4 448 to 778 computations (82.5% saved)

prune6.0ms (0.3%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1821183
Fresh000
Picked112
Done044
Total1836189
Accuracy
100.0%
Counts
189 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.6%
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))) #s(approx (exp (* (neg x) a)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 a x)))))
17.7%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
15.8%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
66.8%
(*.f64 (neg.f64 (expm1.f64 (neg.f64 (*.f64 x a)))) (exp.f64 (*.f64 x a)))
100.0%
(expm1.f64 (*.f64 x a))
66.5%
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
Compiler

Compiled 64 to 51 computations (20.3% saved)

series25.0ms (1.4%)

Memory
-37.4MiB live, 9.4MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02291016
Stop Event
iter-limit
Counts
13 → 37
Calls
Call 1
Inputs
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))) #s(approx (exp (* (neg x) a)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 a x)))))
(neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a)))
(expm1.f64 (*.f64 (neg.f64 x) a))
(*.f64 (neg.f64 x) a)
(neg.f64 x)
x
a
#s(approx (exp (* (neg x) a)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 a x))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 a x)))
#s(literal 1 binary64)
(*.f64 #s(literal -1 binary64) (*.f64 a x))
#s(literal -1 binary64)
(*.f64 a x)
Outputs
#s(approx (/ (neg (- (exp (* (neg x) a)) 1)) (exp (* (neg x) a))) (*.f64 a x))
#s(approx (/ (neg (- (exp (* (neg x) a)) 1)) (exp (* (neg x) a))) (*.f64 a (+.f64 x (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (neg (- (exp (* (neg x) a)) 1)) (exp (* (neg x) a))) (*.f64 a (+.f64 x (*.f64 a (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (neg (- (exp (* (neg x) a)) 1)) (exp (* (neg x) a))) (*.f64 a (+.f64 x (*.f64 a (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 a (-.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))))))))) (fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (neg (- (exp (* (neg x) a)) 1)) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))))
#s(approx (neg (- (exp (* (neg x) a)) 1)) (*.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) x))))
#s(approx (neg (- (exp (* (neg x) a)) 1)) (*.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 a (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) x))))
#s(approx (- (exp (* (neg x) a)) 1) (*.f64 #s(literal -1 binary64) (*.f64 a x)))
#s(approx (- (exp (* (neg x) a)) 1) (*.f64 a (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (exp (* (neg x) a)) 1) (*.f64 a (fma.f64 #s(literal -1 binary64) x (*.f64 a (fma.f64 #s(literal -1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (exp (* (neg x) a)) 1) (*.f64 a (fma.f64 #s(literal -1 binary64) x (*.f64 a (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 a (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 a (pow.f64 x #s(literal 4 binary64)))))))))))
#s(approx a a)
#s(approx (exp (* (neg x) a)) #s(literal 1 binary64))
#s(approx (exp (* (neg x) a)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 a x))))
#s(approx (exp (* (neg x) a)) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (exp (* (neg x) a)) (+.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) x (*.f64 a (fma.f64 #s(literal -1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (/ (neg (- (exp (* (neg x) a)) 1)) (exp (* (neg x) a))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 a x)))) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 a x)))))
#s(approx (neg (- (exp (* (neg x) a)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 a x)))))
#s(approx (- (exp (* (neg x) a)) 1) (expm1.f64 (*.f64 #s(literal -1 binary64) (*.f64 a x))))
#s(approx (exp (* (neg x) a)) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 a x))))
#s(approx (+ 1 (* -1 (* a x))) (*.f64 a (fma.f64 #s(literal -1 binary64) x (/.f64 #s(literal 1 binary64) a))))
#s(approx (+ 1 (* -1 (* a x))) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 x (/.f64 #s(literal 1 binary64) a)))))
#s(approx (/ (neg (- (exp (* (neg x) a)) 1)) (exp (* (neg x) a))) (*.f64 x (+.f64 a (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (/ (neg (- (exp (* (neg x) a)) 1)) (exp (* (neg x) a))) (*.f64 x (+.f64 a (*.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64))))))) (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (/ (neg (- (exp (* (neg x) a)) 1)) (exp (* (neg x) a))) (*.f64 x (+.f64 a (*.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 a #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64)))))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64))))))))))) (fma.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 3 binary64))))))) (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (neg (- (exp (* (neg x) a)) 1)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) a))))
#s(approx (neg (- (exp (* (neg x) a)) 1)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) a))))
#s(approx (neg (- (exp (* (neg x) a)) 1)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) a))))
#s(approx (- (exp (* (neg x) a)) 1) (*.f64 x (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
#s(approx (- (exp (* (neg x) a)) 1) (*.f64 x (fma.f64 #s(literal -1 binary64) a (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64))))))))
#s(approx (- (exp (* (neg x) a)) 1) (*.f64 x (fma.f64 #s(literal -1 binary64) a (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)))))))))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx x x)
#s(approx (exp (* (neg x) a)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))))
#s(approx (exp (* (neg x) a)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) a (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))))
#s(approx (+ 1 (* -1 (* a x))) (*.f64 x (fma.f64 #s(literal -1 binary64) a (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 (* -1 (* a x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 a (/.f64 #s(literal 1 binary64) x)))))
Calls

6 calls:

TimeVariablePoint
15.0ms
a
inf
1.0ms
x
-inf
1.0ms
a
-inf
1.0ms
x
inf
1.0ms
a
0

rewrite50.0ms (2.8%)

Memory
-0.7MiB live, 45.3MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01669
02565
19462
076862
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
13 → 186
Calls
Call 1
Inputs
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))) #s(approx (exp (* (neg x) a)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 a x)))))
(neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a)))
(expm1.f64 (*.f64 (neg.f64 x) a))
(*.f64 (neg.f64 x) a)
(neg.f64 x)
x
a
#s(approx (exp (* (neg x) a)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 a x))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 a x)))
#s(literal 1 binary64)
(*.f64 #s(literal -1 binary64) (*.f64 a x))
#s(literal -1 binary64)
(*.f64 a x)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (* (neg x) a)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) (neg.f64 (expm1.f64 (*.f64 a (neg.f64 x)))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 a x))) (/.f64 (exp.f64 (*.f64 a (neg.f64 x))) (neg.f64 #s(approx (exp (* (neg x) a)) (-.f64 #s(literal 1 binary64) (*.f64 a x))))))
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 (*.f64 a (neg.f64 x)))) #s(approx (exp (* (neg x) a)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 a (neg.f64 x)))) (/.f64 #s(literal 1 binary64) #s(approx (exp (* (neg x) a)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))))
(*.f64 (expm1.f64 (*.f64 a (neg.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (exp (* (neg x) a)) (-.f64 #s(literal 1 binary64) (*.f64 a x))))))
(pow.f64 (/.f64 (neg.f64 #s(approx (exp (* (neg x) a)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) (expm1.f64 (*.f64 a (neg.f64 x)))) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 a (neg.f64 x)))) #s(literal 1 binary64)) #s(approx (exp (* (neg x) a)) (-.f64 #s(literal 1 binary64) (*.f64 a x))))
(/.f64 (expm1.f64 (*.f64 (*.f64 a (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a (neg.f64 x))) #s(literal -1 binary64)) (neg.f64 #s(approx (exp (* (neg x) a)) (-.f64 #s(literal 1 binary64) (*.f64 a x))))))
(/.f64 (expm1.f64 (*.f64 (*.f64 a (neg.f64 x)) #s(literal 3 binary64))) (*.f64 (+.f64 (-.f64 (exp.f64 (*.f64 a (neg.f64 x))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 a (neg.f64 x)) #s(literal 2 binary64)))) (neg.f64 #s(approx (exp (* (neg x) a)) (-.f64 #s(literal 1 binary64) (*.f64 a x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 #s(approx (exp (* (neg x) a)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) (expm1.f64 (*.f64 a (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 #s(approx (exp (* (neg x) a)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) (expm1.f64 (*.f64 a (neg.f64 x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (exp (* (neg x) a)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) (expm1.f64 (*.f64 a (neg.f64 x)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 a (neg.f64 x)))) (neg.f64 (neg.f64 #s(approx (exp (* (neg x) a)) (-.f64 #s(literal 1 binary64) (*.f64 a x))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 a (neg.f64 x)))) #s(approx (exp (* (neg x) a)) (-.f64 #s(literal 1 binary64) (*.f64 a x))))
(/.f64 (expm1.f64 (*.f64 a (neg.f64 x))) (neg.f64 #s(approx (exp (* (neg x) a)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))))
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(*.f64 (neg.f64 a) (/.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 a) x)
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(*.f64 a (neg.f64 x))
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(*.f64 (neg.f64 x) a)
(*.f64 x (neg.f64 a))
(/.f64 (*.f64 a x) #s(literal -1 binary64))
(/.f64 (*.f64 a (neg.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (neg.f64 x))))
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(neg.f64 (*.f64 a x))
(neg.f64 x)
x
a
#s(approx (exp (* (neg x) a)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (neg.f64 x)))) (*.f64 a (neg.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a x))))
(*.f64 (fma.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 a (neg.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (neg.f64 x)) (-.f64 (*.f64 a (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 (-.f64 (*.f64 (*.f64 a x) (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (*.f64 a (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a x) #s(literal 3 binary64))) (fma.f64 (*.f64 a (neg.f64 x)) (-.f64 (*.f64 a (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 a x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 a (neg.f64 x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 a (neg.f64 x)) (-.f64 (*.f64 a (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a x))) (+.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 (fma.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 a (neg.f64 x)) #s(literal 1 binary64)) (fma.f64 (*.f64 a x) (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 a x))))
(/.f64 (fma.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 a (neg.f64 x)) #s(literal 1 binary64)) (fma.f64 (*.f64 a (neg.f64 x)) (-.f64 (*.f64 a (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal 1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a (neg.f64 x)) (-.f64 (*.f64 a (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 a (neg.f64 x)) #s(literal 1 binary64))))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 a x)) #s(literal -1 binary64)))
(neg.f64 (fma.f64 a x #s(literal -1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 a x)))
(neg.f64 (-.f64 (*.f64 a x) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) x) a #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) a #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) a) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 a) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 a #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 a) (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 a) x #s(literal 1 binary64))
(fma.f64 (*.f64 a x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 a (neg.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))
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(fma.f64 (neg.f64 x) (/.f64 a #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) a #s(literal 1 binary64))
(fma.f64 x (neg.f64 a) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 a x))) (/.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))))
(-.f64 (*.f64 a (neg.f64 x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 a x))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (neg.f64 x)) (-.f64 (*.f64 a (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 a (neg.f64 x))) (fma.f64 (*.f64 a (neg.f64 x)) (-.f64 (*.f64 a (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))))
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#s(literal 1 binary64)
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(*.f64 (*.f64 #s(literal 1 binary64) a) (neg.f64 x))
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(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 a #s(literal 1 binary64)))
(*.f64 (neg.f64 a) (/.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 a) x)
(*.f64 (*.f64 a x) #s(literal -1 binary64))
(*.f64 (*.f64 a (neg.f64 x)) #s(literal 1 binary64))
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(*.f64 #s(literal -1 binary64) (*.f64 a x))
(*.f64 #s(literal 1 binary64) (*.f64 a (neg.f64 x)))
(*.f64 a (*.f64 x #s(literal -1 binary64)))
(*.f64 a (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 a (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 a #s(literal 1 binary64)))
(*.f64 (neg.f64 x) a)
(*.f64 x (neg.f64 a))
(/.f64 (*.f64 a x) #s(literal -1 binary64))
(/.f64 (*.f64 a (neg.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a (neg.f64 x))))
(neg.f64 (/.f64 (*.f64 a (neg.f64 x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 a x) #s(literal 1 binary64)))
(neg.f64 (*.f64 a x))
#s(literal -1 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) x) a)
(*.f64 (*.f64 #s(literal 1 binary64) a) x)
(*.f64 (neg.f64 (neg.f64 a)) x)
(*.f64 (neg.f64 (neg.f64 x)) a)
(*.f64 (neg.f64 a) (neg.f64 x))
(*.f64 (*.f64 a x) #s(literal 1 binary64))
(*.f64 (*.f64 a (neg.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 a (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (*.f64 a x))
(*.f64 a (neg.f64 (neg.f64 x)))
(*.f64 a x)
(*.f64 (neg.f64 x) (neg.f64 a))
(*.f64 x a)
(neg.f64 (*.f64 a (neg.f64 x)))

eval19.0ms (1%)

Memory
36.7MiB live, 36.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 5 258 to 840 computations (84% saved)

prune9.0ms (0.5%)

Memory
-34.9MiB live, 10.6MiB allocated; 5ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1871188
Fresh000
Picked101
Done055
Total1886194
Accuracy
100.0%
Counts
194 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.6%
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))) #s(approx (exp (* (neg x) a)) (-.f64 #s(literal 1 binary64) (*.f64 a x))))
17.7%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
15.8%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
66.8%
(*.f64 (neg.f64 (expm1.f64 (neg.f64 (*.f64 x a)))) (exp.f64 (*.f64 x a)))
100.0%
(expm1.f64 (*.f64 x a))
66.5%
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
Compiler

Compiled 62 to 49 computations (21% saved)

regimes54.0ms (3%)

Memory
3.4MiB live, 57.8MiB allocated; 46ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
4 → 1
11 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
Call 2
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
Call 3
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))) #s(approx (exp (* (neg x) a)) (-.f64 #s(literal 1 binary64) (*.f64 a x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))) #s(approx (exp (* (neg x) a)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 a x)))))
(*.f64 (neg.f64 (expm1.f64 (neg.f64 (*.f64 x a)))) (exp.f64 (*.f64 x a)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) a))) (exp.f64 (*.f64 (neg.f64 x) a)))
(fma.f64 (neg.f64 (expm1.f64 (neg.f64 (*.f64 x a)))) (cosh.f64 (*.f64 x a)) (*.f64 (neg.f64 (expm1.f64 (neg.f64 (*.f64 x a)))) (sinh.f64 (*.f64 x a))))
Outputs
(expm1.f64 (*.f64 x a))
Calls

15 calls:

25.0ms
(exp.f64 (*.f64 a x))
3.0ms
x
3.0ms
a
3.0ms
(*.f64 a x)
2.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
15.8%1(exp.f64 (*.f64 a x))
15.8%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
15.8%1a
15.8%1x
15.8%1(*.f64 a x)
66.5%1(*.f64 a x)
66.5%1(exp.f64 (*.f64 a x))
66.5%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
66.5%1a
66.5%1x
100.0%1(*.f64 a x)
100.0%1(exp.f64 (*.f64 a x))
100.0%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
100.0%1a
100.0%1x
Compiler

Compiled 179 to 98 computations (45.3% saved)

derivations3.0ms (0.2%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 22 to 13 computations (40.9% saved)

preprocess25.0ms (1.4%)

Memory
-6.6MiB live, 41.2MiB allocated; 6ms collecting garbage
Remove

(sort a x)

Compiler

Compiled 76 to 61 computations (19.7% saved)

end0.0ms (0%)

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

Profiling

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