expax (section 3.5)

Time bar (total: 1.6s)

start0.0ms (0%)

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

analyze29.0ms (1.9%)

Memory
-8.7MiB live, 32.6MiB allocated; 15ms 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)

sample637.0ms (40.8%)

Memory
19.3MiB live, 929.9MiB allocated; 213ms collecting garbage
Samples
399.0ms8 256×0valid
40.0ms347×0invalid
Precisions
Click to see histograms. Total time spent on operations: 188.0ms
ival-expm1: 122.0ms (64.7% of total)
ival-mult!: 64.0ms (34% of total)
ival->: 2.0ms (1.1% of total)
adjust: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

preprocess36.0ms (2.3%)

Memory
-1.5MiB live, 44.9MiB allocated; 7ms 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
53.1%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Symmetry

(sort a x)

Compiler

Compiled 12 to 12 computations (0% saved)

series20.0ms (1.3%)

Memory
-10.4MiB live, 34.7MiB allocated; 5ms 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:

TimeVariablePointExpression
10.0ms
a
@-inf
((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)
1.0ms
a
@0
((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)
1.0ms
x
@-inf
((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)
1.0ms
a
@inf
((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)
1.0ms
x
@0
((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)

rewrite123.0ms (7.9%)

Memory
25.8MiB live, 254.6MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval36.0ms (2.3%)

Memory
-34.3MiB live, 68.0MiB allocated; 11ms collecting garbage
Compiler

Compiled 3 691 to 1 088 computations (70.5% saved)

prune8.0ms (0.5%)

Memory
17.3MiB live, 17.3MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3745379
Fresh000
Picked101
Done000
Total3755380
Accuracy
100.0%
Counts
380 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.5%
(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
19.9%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
63.1%
#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)))))
68.0%
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
Compiler

Compiled 84 to 84 computations (0% saved)

series44.0ms (2.8%)

Memory
-18.7MiB live, 27.6MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134536
Stop Event
iter-limit
Counts
20 → 32
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))
#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)))))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 a #s(literal 2 binary64)) x)
(pow.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
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 (+ a (* 1/2 (* (pow a 2) x))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x)))))
#s(approx (* 1/2 (* (pow a 2) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
#s(approx (* (pow a 2) x) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
#s(approx (pow a 2) (pow.f64 a #s(literal 2 binary64)))
#s(approx (- (exp (* 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 (* x (+ a (* 1/2 (* (pow a 2) x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x (+ a (* 1/2 (* (pow a 2) x)))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a))))
#s(approx (+ a (* 1/2 (* (pow a 2) x))) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) a))))
#s(approx (+ 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 (+ a (* 1/2 (* (pow a 2) x))) (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
#s(approx (+ 1 (* a x)) (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))))
#s(approx (* x (+ a (* 1/2 (* (pow a 2) x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x))))
#s(approx (+ a (* 1/2 (* (pow a 2) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x))))
#s(approx (+ 1 (* a x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ a (* 1/2 (* (pow a 2) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 a x) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
Calls

6 calls:

TimeVariablePointExpression
31.0ms
x
@-inf
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ 1 (* a x)) (- (exp (* a x)) 1) (* x (+ a (* 1/2 (* (pow a 2) x)))) (+ a (* 1/2 (* (pow a 2) x))) (* 1/2 (* (pow a 2) x)) 1/2 (* (pow a 2) x) (pow a 2) 2)
2.0ms
a
@0
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ 1 (* a x)) (- (exp (* a x)) 1) (* x (+ a (* 1/2 (* (pow a 2) x)))) (+ a (* 1/2 (* (pow a 2) x))) (* 1/2 (* (pow a 2) x)) 1/2 (* (pow a 2) x) (pow a 2) 2)
2.0ms
a
@-inf
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ 1 (* a x)) (- (exp (* a x)) 1) (* x (+ a (* 1/2 (* (pow a 2) x)))) (+ a (* 1/2 (* (pow a 2) x))) (* 1/2 (* (pow a 2) x)) 1/2 (* (pow a 2) x) (pow a 2) 2)
1.0ms
x
@inf
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ 1 (* a x)) (- (exp (* a x)) 1) (* x (+ a (* 1/2 (* (pow a 2) x)))) (+ a (* 1/2 (* (pow a 2) x))) (* 1/2 (* (pow a 2) x)) 1/2 (* (pow a 2) x) (pow a 2) 2)
1.0ms
a
@inf
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ 1 (* a x)) (- (exp (* a x)) 1) (* x (+ a (* 1/2 (* (pow a 2) x)))) (+ a (* 1/2 (* (pow a 2) x))) (* 1/2 (* (pow a 2) x)) 1/2 (* (pow a 2) x) (pow a 2) 2)

rewrite131.0ms (8.4%)

Memory
39.5MiB live, 223.3MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023119
035115
1184115
2523115
31502115
04234109
Stop Event
iter-limit
node-limit
iter-limit
Counts
20 → 447
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))
#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)))))
(*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
(+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 a #s(literal 2 binary64)) x)
(pow.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 a x)))) (cosh.f64 (*.f64 a x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))) (exp.f64 (*.f64 a x)))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 x) a))) (exp.f64 (*.f64 a x)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 a x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (neg.f64 x) a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 a x))) (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 a x))) (fma.f64 (sinh.f64 (*.f64 (neg.f64 x) a)) (sinh.f64 (*.f64 (neg.f64 x) a)) (*.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 a x))) (sinh.f64 (*.f64 (neg.f64 x) a))))))
(/.f64 (-.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (exp.f64 (*.f64 a x))) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 a a))) (*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x)))))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 a x))) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 a x))) (-.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 a x))) (*.f64 (sinh.f64 (*.f64 a x)) (-.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 a x)))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (*.f64 (neg.f64 x) a)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x)) (fma.f64 (-.f64 (sinh.f64 (*.f64 (neg.f64 x) a)) #s(literal -1 binary64)) (-.f64 (sinh.f64 (*.f64 (neg.f64 x) a)) #s(literal -1 binary64)) (*.f64 (cosh.f64 (*.f64 a x)) (-.f64 (sinh.f64 (*.f64 (neg.f64 x) a)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 (*.f64 (neg.f64 x) a)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x)) (fma.f64 (+.f64 (sinh.f64 (*.f64 (neg.f64 x) a)) #s(literal 1 binary64)) (+.f64 (sinh.f64 (*.f64 (neg.f64 x) a)) #s(literal 1 binary64)) (*.f64 (cosh.f64 (*.f64 a x)) (+.f64 (sinh.f64 (*.f64 (neg.f64 x) a)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (neg.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)) (fma.f64 (neg.f64 (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64))) (*.f64 (cosh.f64 (*.f64 a x)) (neg.f64 (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (expm1.f64 (*.f64 a x)) (expm1.f64 (*.f64 a x)) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 (expm1.f64 (*.f64 a x)) #s(literal 0 binary64)))))
(/.f64 (+.f64 (-.f64 (*.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a x)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (fma.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a x))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (fma.f64 (cosh.f64 (*.f64 a x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a x))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a x))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a x)) (-.f64 (*.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a x)) (-.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a x))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a x)))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 (cosh.f64 (*.f64 a x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a x)))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a x)))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a x)))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a x))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (-.f64 (*.f64 (exp.f64 (*.f64 a x)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
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(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (+.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (neg.f64 a)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))) (*.f64 a a)) (+.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (neg.f64 a)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))) (*.f64 a a)) (-.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) a))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) x)))) (+.f64 a (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) a))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) x)) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) x)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) x))))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))) (-.f64 a (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))) (*.f64 a (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))))))
(neg.f64 (-.f64 (neg.f64 a) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))))
(neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) x)) a))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fabs.f64 a)) (fabs.f64 a) a)
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 a)) (neg.f64 a) a)
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a a)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a a)
(fma.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) a)) a a)
(fma.f64 (neg.f64 (*.f64 (neg.f64 x) (*.f64 a a))) #s(literal 1/2 binary64) a)
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 a x) a)
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 (*.f64 a a)) a)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 a a) a)
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (neg.f64 x) a)
(fma.f64 (*.f64 (neg.f64 x) (*.f64 a a)) #s(literal -1/2 binary64) a)
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 #s(literal 1/2 binary64) x)) a)
(fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 x)) a)
(fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x a)
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) x)) a)
(fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) (*.f64 a a)) a)
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a)
(fma.f64 (*.f64 a a) (*.f64 #s(literal 1/2 binary64) x) a)
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 x) (*.f64 a a))) a)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x) a)
(fma.f64 (*.f64 a x) (*.f64 #s(literal 1/2 binary64) a) a)
(fma.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)) a)
(fma.f64 a (*.f64 a (*.f64 #s(literal 1/2 binary64) x)) a)
(fma.f64 x (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) a)
(-.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) (neg.f64 a))
(-.f64 a (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) x)))
(+.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) a)
(+.f64 a (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fabs.f64 a)) (fabs.f64 a))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 a)) (neg.f64 a))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) a) a)
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) a)) a)
(*.f64 (neg.f64 (*.f64 (neg.f64 x) (*.f64 a a))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 a x))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 (*.f64 a a)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 a a))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) (*.f64 a a)) #s(literal -1/2 binary64))
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 x)))
(*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) (*.f64 a a)))
(*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 a a) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 x) (*.f64 a a))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x))
(*.f64 (*.f64 a x) (*.f64 #s(literal 1/2 binary64) a))
(*.f64 a (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))
(*.f64 a (*.f64 a (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 a a) x)))
#s(literal 1/2 binary64)
(*.f64 (*.f64 x (fabs.f64 a)) (fabs.f64 a))
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) x))
(*.f64 (neg.f64 a) (*.f64 (neg.f64 x) a))
(*.f64 (*.f64 (neg.f64 x) a) (neg.f64 a))
(*.f64 (*.f64 a a) x)
(*.f64 (*.f64 a x) a)
(*.f64 a (*.f64 a x))
(*.f64 x (*.f64 a a))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 a))) (neg.f64 (neg.f64 (fabs.f64 a))))
(*.f64 (pow.f64 (fabs.f64 a) #s(literal 1 binary64)) (pow.f64 (fabs.f64 a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 a) #s(literal 1 binary64)) (fabs.f64 a))
(*.f64 (pow.f64 (neg.f64 a) #s(literal 1 binary64)) (pow.f64 (neg.f64 a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 a) #s(literal 1 binary64)) (neg.f64 a))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(*.f64 (pow.f64 a #s(literal 1 binary64)) a)
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (pow.f64 a (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 a (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 a a) (pow.f64 (fabs.f64 a) #s(literal 0 binary64)))
(*.f64 (*.f64 a a) (pow.f64 (neg.f64 a) #s(literal 0 binary64)))
(*.f64 (*.f64 a a) (pow.f64 a #s(literal 0 binary64)))
(*.f64 a a)
(pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(/.f64 (pow.f64 (fabs.f64 a) #s(literal 1 binary64)) (pow.f64 (fabs.f64 a) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 a) #s(literal 1 binary64)) (pow.f64 (neg.f64 a) #s(literal -1 binary64)))
(/.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 a) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 a) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -2 binary64)))
(neg.f64 (*.f64 a (neg.f64 a)))
(neg.f64 (*.f64 (neg.f64 a) a))
(sqrt.f64 (*.f64 (*.f64 a a) (*.f64 a a)))
(fabs.f64 (*.f64 a (neg.f64 a)))
(fabs.f64 (*.f64 (neg.f64 a) a))
(fabs.f64 (neg.f64 (*.f64 a a)))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 (fabs.f64 a)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 a)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
#s(literal 2 binary64)

eval143.0ms (9.2%)

Memory
-90.9MiB live, 147.5MiB allocated; 107ms collecting garbage
Compiler

Compiled 4 249 to 1 713 computations (59.7% saved)

prune8.0ms (0.5%)

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

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New4632465
Fresh000
Picked235
Done000
Total4655470
Accuracy
100.0%
Counts
470 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.5%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
19.9%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
63.1%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
68.0%
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
Compiler

Compiled 39 to 39 computations (0% saved)

series27.0ms (1.7%)

Memory
-19.5MiB live, 26.4MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0138532
Stop Event
iter-limit
Counts
12 → 32
Calls
Call 1
Inputs
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a)
(*.f64 (*.f64 a a) x)
(*.f64 a a)
a
x
#s(literal 1/2 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
#s(literal 1 binary64)
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 (+ (* (* (* a a) x) 1/2) a) a)
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a x)))))
#s(approx (* (* a a) x) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))
#s(approx (* a a) (pow.f64 a #s(literal 2 binary64)))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x)))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a (+.f64 x (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 a (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x a))))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) a))))
#s(approx (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 (+ (* 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 (+ (* (* (* a a) x) 1/2) a) (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x))))
#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 (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x))))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal 2 binary64)) (/.f64 a x))))
#s(approx (+ (* x a) 1) (*.f64 x (+.f64 a (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 a x) (*.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 2 binary64)))))))
#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:

TimeVariablePointExpression
1.0ms
a
@-inf
((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) a x 1/2 (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) 1)
1.0ms
x
@-inf
((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) a x 1/2 (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) 1)
1.0ms
a
@inf
((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) a x 1/2 (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) 1)
1.0ms
x
@inf
((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) a x 1/2 (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) 1)
1.0ms
a
@0
((- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) a x 1/2 (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) 1)

rewrite143.0ms (9.1%)

Memory
-2.2MiB live, 243.7MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01571
02371
111771
234571
3135071
0416069
Stop Event
iter-limit
node-limit
iter-limit
Counts
12 → 226
Calls
Call 1
Inputs
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a)
(*.f64 (*.f64 a a) x)
(*.f64 a a)
a
x
#s(literal 1/2 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x) a) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) x)) x))
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(neg.f64 (*.f64 (neg.f64 a) a))
(sqrt.f64 (*.f64 (*.f64 a a) (*.f64 a a)))
(fabs.f64 (*.f64 (neg.f64 a) (neg.f64 (fabs.f64 a))))
(fabs.f64 (*.f64 a (neg.f64 (fabs.f64 a))))
(fabs.f64 (*.f64 (neg.f64 a) (fabs.f64 a)))
(fabs.f64 (*.f64 a (fabs.f64 a)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 a)))
(fabs.f64 (*.f64 (fabs.f64 a) (neg.f64 a)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 a)) a))
(fabs.f64 (*.f64 (fabs.f64 a) a))
(fabs.f64 (*.f64 (neg.f64 a) a))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 a))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 a a)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 a)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 a)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
a
x
#s(literal 1/2 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 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 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))) (neg.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))))) (-.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))))) (+.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (*.f64 (neg.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))) (neg.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))))) (*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (fma.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (-.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #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 (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #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 (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (*.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)))) (*.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.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)))) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (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))) (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.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)))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (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))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))))
(-.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))))
(+.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))
(+.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x a))) (*.f64 x a))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x a))) (*.f64 x a))
(/.f64 (-.f64 (*.f64 (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x a #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (fma.f64 x a #s(literal 1 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 x)) a) (*.f64 (neg.f64 (neg.f64 x)) a))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) a)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) x)) (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) x)))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 x a)) (+.f64 #s(literal 0 binary64) (*.f64 x a)))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 x a))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (neg.f64 a) x)) (neg.f64 (*.f64 (neg.f64 a) x)))) (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 a) x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x a #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (fma.f64 x a #s(literal 1 binary64)) (fma.f64 x a #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 x a #s(literal 1 binary64)) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) a) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 x)) a) (*.f64 (neg.f64 (neg.f64 x)) a)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) a)))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) x)) (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) x))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) x))))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (*.f64 x a)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 x a)) (+.f64 #s(literal 0 binary64) (*.f64 x a))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 x a))))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (neg.f64 a) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 a) x)) (neg.f64 (*.f64 (neg.f64 a) x))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 a) x))))))
(/.f64 (+.f64 (fma.f64 (*.f64 x a) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 (*.f64 x a) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 x a) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 x a) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 a) x) (*.f64 (neg.f64 a) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x)))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 a) x) (*.f64 (neg.f64 a) x) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x a) (*.f64 x a))) (-.f64 #s(literal 1 binary64) (*.f64 x a)))
(/.f64 (-.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 (*.f64 x a) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 x a) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 #s(literal 1 binary64) (*.f64 x a)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 x a) (*.f64 x a) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 (*.f64 x a) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x a) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 x a) (*.f64 x a) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x a) #s(literal 1 binary64)))))
(neg.f64 (-.f64 (*.f64 (neg.f64 a) x) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 x a)))
(fma.f64 x a #s(literal 1 binary64))
(fma.f64 a x #s(literal 1 binary64))
(-.f64 (*.f64 x a) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x))
(+.f64 (/.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 x a) #s(literal 1 binary64))
(+.f64 (fma.f64 x a #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) a))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) x)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 x a)))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 a) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x a))
#s(literal 1 binary64)

eval35.0ms (2.2%)

Memory
3.8MiB live, 87.2MiB allocated; 16ms collecting garbage
Compiler

Compiled 2 527 to 1 183 computations (53.2% saved)

prune6.0ms (0.4%)

Memory
28.2MiB live, 28.3MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2470247
Fresh000
Picked022
Done033
Total2475252
Accuracy
100.0%
Counts
252 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.5%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
19.9%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
63.1%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
68.0%
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
Compiler

Compiled 85 to 73 computations (14.1% saved)

regimes21.0ms (1.3%)

Memory
19.5MiB live, 60.8MiB allocated; 15ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (*.f64 a x))) #s(literal 1 binary64))
(expm1.f64 (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x (+.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 2 binary64)) x)))))
Outputs
(expm1.f64 (*.f64 x a))
Calls

5 calls:

11.0ms
a
3.0ms
x
2.0ms
(*.f64 a x)
2.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
2.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
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 15 to 17 computations (-13.3% saved)

regimes30.0ms (1.9%)

Memory
-0.4MiB live, 49.3MiB allocated; 35ms collecting garbage
Counts
4 → 1
Calls
Call 1
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))
Calls

5 calls:

23.0ms
x
2.0ms
a
2.0ms
(*.f64 a x)
1.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
68.0%1(*.f64 a x)
68.0%1(exp.f64 (*.f64 a x))
68.0%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
68.0%1a
68.0%1x
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes9.0ms (0.6%)

Memory
-17.0MiB live, 27.0MiB allocated; 7ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 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))
Calls

5 calls:

5.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms
x
1.0ms
a
1.0ms
(*.f64 a x)
1.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
19.9%1a
19.9%1(*.f64 a x)
19.9%1x
19.9%1(exp.f64 (*.f64 a x))
19.9%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

derivations20.0ms (1.3%)

Memory
-12.0MiB live, 30.1MiB allocated; 11ms collecting garbage
Stop Event
done
Compiler

Compiled 15 to 13 computations (13.3% saved)

preprocess55.0ms (3.6%)

Memory
17.7MiB live, 125.9MiB allocated; 58ms collecting garbage
Remove

(sort a x)

Compiler

Compiled 63 to 61 computations (3.2% saved)

end0.0ms (0%)

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

Profiling

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