expax (section 3.5)

Time bar (total: 1.7s)

start0.0ms (0%)

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

analyze17.0ms (1%)

Memory
23.6MiB live, 23.6MiB 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)

sample453.0ms (26.6%)

Memory
4.6MiB live, 357.1MiB allocated; 54ms collecting garbage
Samples
259.0ms8 256×0valid
11.0ms297×0invalid
Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-expm1: 53.0ms (50.9% of total)
ival-mult!: 48.0ms (46.1% of total)
adjust: 2.0ms (1.9% of total)
ival->: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

preprocess79.0ms (4.6%)

Memory
-45.8MiB live, 53.5MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01940
16040
212640
350340
4740140
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.5%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Symmetry

(sort a x)

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.3%)

Memory
4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Counts
6 → 18
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) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx x #s(hole binary64 x))
Calls

6 calls:

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

rewrite143.0ms (8.4%)

Memory
21.1MiB live, 68.0MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084321
087321
1526321
05351278
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
24 → 66
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)
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx x #s(hole binary64 x))
Outputs
(*.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 (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 (-.f64 (neg.f64 (exp.f64 (*.f64 x a))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (expm1.f64 (*.f64 x a))))
(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 (exp.f64 (*.f64 x a)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a)) #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 #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 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))))
(*.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a)))
(pow.f64 (exp.f64 x) a)
(pow.f64 (exp.f64 a) x)
(/.f64 (*.f64 (exp.f64 (*.f64 x a)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.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))))))
(neg.f64 (-.f64 (neg.f64 (cosh.f64 (*.f64 x a))) (sinh.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 (*.f64 #s(literal 1 binary64) x) a)
(*.f64 (*.f64 #s(literal 1 binary64) a) x)
(*.f64 (*.f64 x a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x a))
(*.f64 x a)
(*.f64 a x)
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)) #s(literal 2 binary64))
a
x
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) a) #s(literal 1/24 binary64))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)))
#s(approx (* a x) (*.f64 x a))
#s(approx a a)
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a)))
#s(approx (exp (* a x)) (exp.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))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) x) #s(literal 1/24 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)))
#s(approx x x)

eval6.0ms (0.3%)

Memory
8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 448 to 197 computations (56% saved)

prune4.0ms (0.2%)

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New54660
Fresh000
Picked101
Done000
Total55661
Accuracy
100.0%
Counts
61 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
21.8%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
20.0%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
59.5%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
64.9%
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Compiler

Compiled 100 to 98 computations (2% saved)

series16.0ms (0.9%)

Memory
-33.9MiB live, 12.9MiB allocated; 2ms collecting garbage
Counts
17 → 48
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 x a))
(-.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(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)
#s(literal 1/2 binary64)
Outputs
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (+ (* x a) 1) #s(hole binary64 1))
#s(approx (+ (* x a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (* (* a a) x) #s(hole binary64 (* (pow a 2) x)))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@0
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
2.0ms
x
@-inf
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
2.0ms
a
@0
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
2.0ms
a
@-inf
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)
1.0ms
x
@inf
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2)

rewrite165.0ms (9.7%)

Memory
27.0MiB live, 159.6MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0168920
0180854
1958843
08606815
Stop Event
iter-limit
node-limit
iter-limit
Counts
65 → 510
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 x a))
(-.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(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)
#s(literal 1/2 binary64)
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 1))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (+ (* x a) 1) #s(hole binary64 1))
#s(approx (+ (* x a) 1) #s(hole binary64 (+ 1 (* a x))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x))))))
#s(approx (* (* a a) x) #s(hole binary64 (* (pow a 2) x)))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a x)))
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))))
Outputs
(*.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (/.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 (*.f64 a x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))) (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 (*.f64 a x) #s(literal 2 binary64))))))
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (-.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 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))))
(neg.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 a x))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (expm1.f64 (*.f64 a x))))
(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 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (fma.f64 a x #s(literal 0 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(expm1.f64 (*.f64 a x))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 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 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))))
(-.f64 (exp.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 (cosh.f64 (*.f64 a x)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(*.f64 (*.f64 (/.f64 x a) (fabs.f64 a)) (fabs.f64 a))
(*.f64 (*.f64 (/.f64 x a) (neg.f64 a)) (neg.f64 a))
(*.f64 (*.f64 (/.f64 x a) a) a)
(*.f64 (*.f64 #s(literal 1 binary64) x) a)
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (/.f64 x a)))
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) (/.f64 x a)))
(*.f64 (/.f64 a x) (*.f64 x x))
(*.f64 (/.f64 x a) (*.f64 a a))
(*.f64 (*.f64 a a) (/.f64 x a))
(*.f64 (*.f64 (*.f64 a x) a) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 (*.f64 x x) a) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 x x) (/.f64 a x))
(*.f64 #s(literal 1 binary64) (*.f64 a x))
(*.f64 (*.f64 a x) #s(literal 1 binary64))
(*.f64 a (*.f64 a (/.f64 x a)))
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(*.f64 a x)
(*.f64 x a)
(/.f64 (*.f64 (*.f64 a a) (neg.f64 x)) (neg.f64 a))
(/.f64 (*.f64 (*.f64 x x) (neg.f64 a)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a x)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 a) (*.f64 x x)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 x) (*.f64 a a)) (neg.f64 a))
(/.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 a a) (/.f64 a x))
(/.f64 (*.f64 (*.f64 a x) a) a)
(/.f64 (*.f64 (*.f64 x x) a) x)
(/.f64 (*.f64 x x) (/.f64 x a))
x
a
(*.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(neg.f64 (-.f64 (neg.f64 #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64))))
(fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64))) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))
(+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))
#s(approx (exp (* a x)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(*.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
(*.f64 (expm1.f64 (*.f64 (log.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))))
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(*.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64)) a)
(*.f64 (*.f64 (neg.f64 a) a) #s(literal -1 binary64))
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 #s(literal -1 binary64) (*.f64 a (neg.f64 a)))
(*.f64 (*.f64 a a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a a))
(*.f64 a (*.f64 #s(literal -1 binary64) (neg.f64 a)))
(*.f64 a a)
(pow.f64 (exp.f64 (log.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))
(neg.f64 (*.f64 (neg.f64 a) a))
(neg.f64 (*.f64 a (neg.f64 a)))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))
#s(literal 1/2 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) a) #s(literal 1/24 binary64))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (* x a) (*.f64 a x))
#s(approx a a)
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) a) #s(literal 1/24 binary64))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
(*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))
#s(approx (exp (* a x)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)))
#s(approx (+ (* x a) 1) #s(literal 1 binary64))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 a x))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (+ (* (* (* a a) x) 1/2) a) a)
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a))
#s(approx (* (* a a) x) (*.f64 (*.f64 a x) a))
#s(approx (* a a) (*.f64 a a))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x)))
#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 x))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (*.f64 (*.f64 a x) a) x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) x) #s(literal 1/24 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx x x)
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) x) #s(literal 1/24 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a))

eval56.0ms (3.3%)

Memory
-4.5MiB live, 84.2MiB allocated; 16ms collecting garbage
Compiler

Compiled 4 646 to 1 664 computations (64.2% saved)

prune31.0ms (1.8%)

Memory
-19.9MiB live, 42.6MiB allocated; 29ms collecting garbage
Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New4967503
Fresh011
Picked055
Done000
Total49613509
Accuracy
100.0%
Counts
509 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
21.8%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
20.0%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
72.3%
(expm1.f64 (*.f64 (/.f64 a x) (*.f64 x x)))
100.0%
(expm1.f64 (*.f64 x a))
49.8%
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a x) a) a))
44.5%
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 x x) (/.f64 x a)))
38.5%
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 a a) (/.f64 a x)))
59.5%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
39.0%
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 x a) (*.f64 a a)))
44.5%
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 a x) (*.f64 x x)))
50.4%
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 x a) a) a))
64.9%
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Compiler

Compiled 193 to 191 computations (1% saved)

series16.0ms (1%)

Memory
35.7MiB live, 35.7MiB allocated; 0ms collecting garbage
Counts
23 → 59
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
(expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))
(*.f64 (*.f64 x a) #s(literal 2 binary64))
(*.f64 x a)
x
a
#s(literal 2 binary64)
(-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))
(exp.f64 (*.f64 x a))
#s(literal -1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 x a) a) a))
(*.f64 (*.f64 (/.f64 x a) a) a)
(*.f64 (/.f64 x a) a)
(/.f64 x a)
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 x a) (*.f64 a a)))
(*.f64 (/.f64 x a) (*.f64 a a))
(*.f64 a a)
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 a a) (/.f64 a x)))
(/.f64 (*.f64 a a) (/.f64 a x))
(/.f64 a x)
(expm1.f64 (*.f64 (/.f64 a x) (*.f64 x x)))
(*.f64 (/.f64 a x) (*.f64 x x))
(*.f64 x x)
Outputs
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* 2 (* a x))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))))
#s(approx (* (* x a) 2) #s(hole binary64 (* 2 (* a x))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 2))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a x))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (exp (* x a)) #s(hole binary64 1))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* (* (/ x a) a) a) #s(hole binary64 (* a x)))
#s(approx (* (/ x a) a) #s(hole binary64 x))
#s(approx (/ x a) #s(hole binary64 (/ x a)))
#s(approx (* (/ x a) (* a a)) #s(hole binary64 (* a x)))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (/ (* a a) (/ a x)) #s(hole binary64 (* a x)))
#s(approx (/ a x) #s(hole binary64 (/ a x)))
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* (/ a x) (* x x)) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (- (exp (* 2 (* a x))) 1)))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 1 (exp (* a x)))))
#s(approx (exp (* x a)) #s(hole binary64 (exp (* a x))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
a
@0
((/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) x a 2 (- (exp (* x a)) -1) (exp (* x a)) -1 (- (exp (* a x)) 1) (* (* (/ x a) a) a) (* (/ x a) a) (/ x a) (- (exp (* a x)) 1) (* (/ x a) (* a a)) (* a a) (- (exp (* a x)) 1) (/ (* a a) (/ a x)) (/ a x) (- (exp (* (/ a x) (* x x))) 1) (* (/ a x) (* x x)) (* x x))
3.0ms
x
@-inf
((/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) x a 2 (- (exp (* x a)) -1) (exp (* x a)) -1 (- (exp (* a x)) 1) (* (* (/ x a) a) a) (* (/ x a) a) (/ x a) (- (exp (* a x)) 1) (* (/ x a) (* a a)) (* a a) (- (exp (* a x)) 1) (/ (* a a) (/ a x)) (/ a x) (- (exp (* (/ a x) (* x x))) 1) (* (/ a x) (* x x)) (* x x))
2.0ms
a
@-inf
((/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) x a 2 (- (exp (* x a)) -1) (exp (* x a)) -1 (- (exp (* a x)) 1) (* (* (/ x a) a) a) (* (/ x a) a) (/ x a) (- (exp (* a x)) 1) (* (/ x a) (* a a)) (* a a) (- (exp (* a x)) 1) (/ (* a a) (/ a x)) (/ a x) (- (exp (* (/ a x) (* x x))) 1) (* (/ a x) (* x x)) (* x x))
2.0ms
x
@0
((/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) x a 2 (- (exp (* x a)) -1) (exp (* x a)) -1 (- (exp (* a x)) 1) (* (* (/ x a) a) a) (* (/ x a) a) (/ x a) (- (exp (* a x)) 1) (* (/ x a) (* a a)) (* a a) (- (exp (* a x)) 1) (/ (* a a) (/ a x)) (/ a x) (- (exp (* (/ a x) (* x x))) 1) (* (/ a x) (* x x)) (* x x))
2.0ms
a
@inf
((/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) x a 2 (- (exp (* x a)) -1) (exp (* x a)) -1 (- (exp (* a x)) 1) (* (* (/ x a) a) a) (* (/ x a) a) (/ x a) (- (exp (* a x)) 1) (* (/ x a) (* a a)) (* a a) (- (exp (* a x)) 1) (/ (* a a) (/ a x)) (/ a x) (- (exp (* (/ a x) (* x x))) 1) (* (/ a x) (* x x)) (* x x))

rewrite257.0ms (15.1%)

Memory
23.7MiB live, 271.5MiB allocated; 91ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02791502
03081424
118911424
084351286
Stop Event
iter-limit
node-limit
iter-limit
Counts
82 → 262
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
(expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))
(*.f64 (*.f64 x a) #s(literal 2 binary64))
(*.f64 x a)
x
a
#s(literal 2 binary64)
(-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))
(exp.f64 (*.f64 x a))
#s(literal -1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 x a) a) a))
(*.f64 (*.f64 (/.f64 x a) a) a)
(*.f64 (/.f64 x a) a)
(/.f64 x a)
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 x a) (*.f64 a a)))
(*.f64 (/.f64 x a) (*.f64 a a))
(*.f64 a a)
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 a a) (/.f64 a x)))
(/.f64 (*.f64 a a) (/.f64 a x))
(/.f64 a x)
(expm1.f64 (*.f64 (/.f64 a x) (*.f64 x x)))
(*.f64 (/.f64 a x) (*.f64 x x))
(*.f64 x x)
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* 2 (* a x))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))))
#s(approx (* (* x a) 2) #s(hole binary64 (* 2 (* a x))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 2))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a x))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (exp (* x a)) #s(hole binary64 1))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* (* (/ x a) a) a) #s(hole binary64 (* a x)))
#s(approx (* (/ x a) a) #s(hole binary64 x))
#s(approx (/ x a) #s(hole binary64 (/ x a)))
#s(approx (* (/ x a) (* a a)) #s(hole binary64 (* a x)))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (/ (* a a) (/ a x)) #s(hole binary64 (* a x)))
#s(approx (/ a x) #s(hole binary64 (/ a x)))
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* (/ a x) (* x x)) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (- (exp (* 2 (* a x))) 1)))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 1 (exp (* a x)))))
#s(approx (exp (* x a)) #s(hole binary64 (exp (* a x))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))))
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
Outputs
(*.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (+.f64 a a) x))) #s(literal -1 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.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 a) x)) (-.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 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.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 (+.f64 a a) x)) (-.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 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64))))) (-.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 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 a a) x)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) x))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))))
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 a a) x))) (neg.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (+.f64 a a) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (+.f64 a a) x)))))
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(expm1.f64 (*.f64 a x))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))))))
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.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 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(+.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.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 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64)))))))
(/.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64))))))
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) x))))
(fma.f64 (fabs.f64 (exp.f64 (*.f64 a x))) (fabs.f64 (exp.f64 (*.f64 a x))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (exp.f64 (*.f64 a x))) (neg.f64 (exp.f64 (*.f64 a x))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 a x)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (*.f64 a x))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (+.f64 a a) x))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64)))))))
(-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))
(+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal -1 binary64))
(*.f64 (+.f64 a a) x)
(*.f64 (*.f64 a x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 a x))
(*.f64 x (+.f64 a a))
(/.f64 (fma.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 a x) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 a x) (*.f64 a x) (-.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 (*.f64 a x) (*.f64 a x)))))
(fma.f64 a x (*.f64 a x))
(fma.f64 x a (*.f64 a x))
(+.f64 (*.f64 a x) (*.f64 a x))
(*.f64 a x)
(*.f64 x a)
x
a
#s(literal 2 binary64)
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 a x)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/.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 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 a x))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 a a) x))) (neg.f64 (expm1.f64 (*.f64 a x))))
(/.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (expm1.f64 (*.f64 a x)))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (expm1.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 a x)))))) (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 a x)))))))
(+.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (expm1.f64 (*.f64 a x))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x))))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(pow.f64 (exp.f64 a) x)
(pow.f64 (exp.f64 x) a)
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(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(exp.f64 (*.f64 a x))
(+.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x)))
#s(literal -1 binary64)
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(*.f64 (/.f64 (neg.f64 a) a) (/.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 a a) (/.f64 a (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (*.f64 a a) a) x)
(*.f64 (*.f64 a a) (/.f64 x a))
(*.f64 (*.f64 (/.f64 x a) a) a)
(*.f64 (/.f64 x a) (*.f64 a a))
(*.f64 a (/.f64 a (/.f64 a x)))
(*.f64 a (*.f64 (/.f64 x a) a))
(pow.f64 (/.f64 (/.f64 a x) (*.f64 a a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 a a))) (neg.f64 (neg.f64 (/.f64 a x))))
(/.f64 (neg.f64 (*.f64 (*.f64 a a) x)) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 a a)) (neg.f64 (/.f64 a x)))
(/.f64 (*.f64 (*.f64 a a) x) a)
(/.f64 (*.f64 a a) (/.f64 a x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a x) (*.f64 a a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a x) (*.f64 a a))))
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(*.f64 a (/.f64 x a))
(/.f64 (neg.f64 (*.f64 a x)) (neg.f64 a))
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(*.f64 (/.f64 #s(literal 1 binary64) a) x)
(*.f64 x (/.f64 #s(literal 1 binary64) a))
(pow.f64 (/.f64 a x) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 x) (neg.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 a x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a x)))
(/.f64 x a)
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(*.f64 (/.f64 a a) (/.f64 a (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (*.f64 a a) a) x)
(*.f64 (*.f64 a a) (/.f64 x a))
(*.f64 (*.f64 (/.f64 x a) a) a)
(*.f64 (/.f64 x a) (*.f64 a a))
(*.f64 a (/.f64 a (/.f64 a x)))
(*.f64 a (*.f64 (/.f64 x a) a))
(pow.f64 (/.f64 (/.f64 a x) (*.f64 a a)) #s(literal -1 binary64))
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(/.f64 (neg.f64 (*.f64 (*.f64 a a) x)) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 a a)) (neg.f64 (/.f64 a x)))
(/.f64 (*.f64 (*.f64 a a) x) a)
(/.f64 (*.f64 a a) (/.f64 a x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a x) (*.f64 a a)))
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(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
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(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 (neg.f64 a) (neg.f64 a))
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(pow.f64 (exp.f64 (log.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))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))
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(*.f64 (/.f64 a a) (/.f64 a (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (*.f64 a a) a) x)
(*.f64 (*.f64 a a) (/.f64 x a))
(*.f64 (*.f64 (/.f64 x a) a) a)
(*.f64 (/.f64 x a) (*.f64 a a))
(*.f64 a (/.f64 a (/.f64 a x)))
(*.f64 a (*.f64 (/.f64 x a) a))
(pow.f64 (/.f64 (/.f64 a x) (*.f64 a a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 a a))) (neg.f64 (neg.f64 (/.f64 a x))))
(/.f64 (neg.f64 (*.f64 (*.f64 a a) x)) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 a a)) (neg.f64 (/.f64 a x)))
(/.f64 (*.f64 (*.f64 a a) x) a)
(/.f64 (*.f64 a a) (/.f64 a x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a x) (*.f64 a a)))
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(*.f64 a (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 x a) #s(literal -1 binary64))
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(/.f64 (neg.f64 a) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x a)))
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(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 (/.f64 a x) x) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (/.f64 a x) x) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 (/.f64 a x) x) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (/.f64 a x) x) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (*.f64 (/.f64 a x) x) x #s(literal 0 binary64)))))))
(/.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 (/.f64 a x) x) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (/.f64 a x) x) x)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 (/.f64 a x) x) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (/.f64 a x) x) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (*.f64 (/.f64 a x) x) x #s(literal 0 binary64))))))
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (/.f64 a x) x) x))))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (/.f64 a x))) (*.f64 x x)))
(expm1.f64 (*.f64 (*.f64 (/.f64 a x) x) x))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (/.f64 a x) x) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (/.f64 a x) x) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (/.f64 a x) x) x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (/.f64 a x) x) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (/.f64 a x) x) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (*.f64 (/.f64 a x) x) x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (/.f64 a x) x) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (*.f64 (/.f64 a x) x) x #s(literal 0 binary64)))))))
(-.f64 (exp.f64 (*.f64 (*.f64 (/.f64 a x) x) x)) #s(literal 1 binary64))
(+.f64 (exp.f64 (*.f64 (*.f64 (/.f64 a x) x) x)) #s(literal -1 binary64))
(*.f64 (*.f64 (/.f64 a x) x) x)
(*.f64 (/.f64 a x) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 a x))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) a)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 x x) a) x)
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) a x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 2/3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) x)))) a (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) a x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 a (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 2/3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) x)))) x) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 2/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) x)))) a (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) a x) a))
#s(approx (- (exp (* (* x a) 2)) 1) (*.f64 (+.f64 a a) x))
#s(approx (- (exp (* (* x a) 2)) 1) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x (*.f64 (*.f64 x x) a))) a))
#s(approx (- (exp (* (* x a) 2)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 4/3 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) a (+.f64 x x)) a))
#s(approx (- (exp (* (* x a) 2)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 2/3 binary64) a) (*.f64 (*.f64 x x) (*.f64 x x)))) a (*.f64 (*.f64 x x) #s(literal 2 binary64))) a (+.f64 x x)) a))
#s(approx (* (* x a) 2) (*.f64 (+.f64 a a) x))
#s(approx (* x a) (*.f64 a x))
#s(approx a a)
#s(approx (- (exp (* x a)) -1) #s(literal 2 binary64))
#s(approx (- (exp (* x a)) -1) (fma.f64 a x #s(literal 2 binary64)))
#s(approx (- (exp (* x a)) -1) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 2 binary64)))
#s(approx (- (exp (* x a)) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) a) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) a x) a #s(literal 2 binary64)))
#s(approx (exp (* x a)) #s(literal 1 binary64))
#s(approx (exp (* x a)) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64)))
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) a) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) a x) a #s(literal 1 binary64)))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) a) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) a x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 1/24 binary64) a) (*.f64 (*.f64 x x) (*.f64 x x)))) a (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) a x) a))
#s(approx (* (/ x a) (* a a)) (*.f64 a x))
#s(approx (* (/ x a) a) x)
#s(approx (/ x a) (/.f64 x a))
#s(approx (* (/ x a) (* a a)) (*.f64 a x))
#s(approx (* a a) (*.f64 a a))
#s(approx (* (/ x a) (* a a)) (*.f64 a x))
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#s(approx (- (exp (* (/ a x) (* x x))) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* (/ a x) (* x x))) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) a) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) a x) a))
#s(approx (- (exp (* (/ a x) (* x x))) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 1/24 binary64) a) (*.f64 (*.f64 x x) (*.f64 x x)))) a (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) a x) a))
#s(approx (* (/ a x) (* x x)) (*.f64 a x))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (- (exp (* (* x a) 2)) 1) (expm1.f64 (*.f64 (+.f64 a a) x)))
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#s(approx (exp (* x a)) (exp.f64 (*.f64 a x)))
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#s(approx (- (exp (* (/ a x) (* x x))) 1) (expm1.f64 (*.f64 a x)))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) x a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 2/3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/4 binary64)))) x (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) x a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 x (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/12 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 2/3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/4 binary64)))) a) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 2/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/4 binary64)))) x (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) x a) x))
#s(approx (- (exp (* (* x a) 2)) 1) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a (*.f64 (*.f64 a a) x))) x))
#s(approx (- (exp (* (* x a) 2)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 4/3 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) x (+.f64 a a)) x))
#s(approx (- (exp (* (* x a) 2)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) x)) x (*.f64 (*.f64 a a) #s(literal 2 binary64))) x (+.f64 a a)) x))
#s(approx x x)
#s(approx (- (exp (* x a)) -1) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 2 binary64)))
#s(approx (- (exp (* x a)) -1) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) x a) x #s(literal 2 binary64)))
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) x a) x #s(literal 1 binary64)))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) x a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) x)) x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) x a) x))
#s(approx (- (exp (* (/ a x) (* x x))) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* (/ a x) (* x x))) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) x a) x))
#s(approx (- (exp (* (/ a x) (* x x))) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) x)) x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) x a) x))
#s(approx (* x x) (*.f64 x x))

eval37.0ms (2.2%)

Memory
-12.1MiB live, 33.6MiB allocated; 6ms collecting garbage
Compiler

Compiled 2 165 to 894 computations (58.7% saved)

prune9.0ms (0.5%)

Memory
17.4MiB live, 17.4MiB allocated; 0ms collecting garbage
Pruning

16 alts after pruning (7 fresh and 9 done)

PrunedKeptTotal
New2434247
Fresh033
Picked145
Done055
Total24416260
Accuracy
100.0%
Counts
260 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64))))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
100.0%
(/.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
21.8%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
20.0%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
72.3%
(expm1.f64 (*.f64 (/.f64 a x) (*.f64 x x)))
100.0%
(expm1.f64 (*.f64 x a))
49.8%
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a x) a) a))
40.8%
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a a) x) a))
44.5%
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 x x) (/.f64 x a)))
38.5%
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 a a) (/.f64 a x)))
59.5%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
39.0%
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 x a) (*.f64 a a)))
44.5%
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 a x) (*.f64 x x)))
50.4%
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 x a) a) a))
64.9%
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
49.9%
#s(approx (- (exp (* a x)) 1) (*.f64 a (/.f64 a (/.f64 a x))))
Compiler

Compiled 247 to 241 computations (2.4% saved)

series12.0ms (0.7%)

Memory
13.7MiB live, 13.7MiB allocated; 0ms collecting garbage
Counts
25 → 54
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
(expm1.f64 (*.f64 (+.f64 a a) x))
(*.f64 (+.f64 a a) x)
(+.f64 a a)
a
x
(-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))
(exp.f64 (*.f64 x a))
(*.f64 x a)
#s(literal -1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 a x) (*.f64 x x)))
(*.f64 (/.f64 a x) (*.f64 x x))
(/.f64 a x)
(*.f64 x x)
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a a) x) a))
(/.f64 (*.f64 (*.f64 a a) x) a)
(*.f64 (*.f64 a a) x)
(*.f64 a a)
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a x) a) a))
(/.f64 (*.f64 (*.f64 a x) a) a)
(*.f64 (*.f64 a x) a)
(*.f64 a x)
#s(approx (- (exp (* a x)) 1) (*.f64 a (/.f64 a (/.f64 a x))))
(*.f64 a (/.f64 a (/.f64 a x)))
(/.f64 a (/.f64 a x))
Outputs
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* 2 (* a x))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))))
#s(approx (* (+ a a) x) #s(hole binary64 (* 2 (* a x))))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 2))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a x))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (exp (* x a)) #s(hole binary64 1))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* (/ a x) (* x x)) #s(hole binary64 (* a x)))
#s(approx (/ a x) #s(hole binary64 (/ a x)))
#s(approx (/ (* (* a a) x) a) #s(hole binary64 (* a x)))
#s(approx (* (* a a) x) #s(hole binary64 (* (pow a 2) x)))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (/ (* (* a x) a) a) #s(hole binary64 (* a x)))
#s(approx (* (* a x) a) #s(hole binary64 (* (pow a 2) x)))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx (* a (/ a (/ a x))) #s(hole binary64 (* a x)))
#s(approx (/ a (/ a x)) #s(hole binary64 x))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (- (exp (* 2 (* a x))) 1)))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 1 (exp (* a x)))))
#s(approx (exp (* x a)) #s(hole binary64 (exp (* a x))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
Calls

6 calls:

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

rewrite233.0ms (13.7%)

Memory
-31.0MiB live, 159.7MiB allocated; 69ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02771354
03061367
118641276
083571150
Stop Event
iter-limit
node-limit
iter-limit
Counts
79 → 229
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
(expm1.f64 (*.f64 (+.f64 a a) x))
(*.f64 (+.f64 a a) x)
(+.f64 a a)
a
x
(-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))
(exp.f64 (*.f64 x a))
(*.f64 x a)
#s(literal -1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 a x) (*.f64 x x)))
(*.f64 (/.f64 a x) (*.f64 x x))
(/.f64 a x)
(*.f64 x x)
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a a) x) a))
(/.f64 (*.f64 (*.f64 a a) x) a)
(*.f64 (*.f64 a a) x)
(*.f64 a a)
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a x) a) a))
(/.f64 (*.f64 (*.f64 a x) a) a)
(*.f64 (*.f64 a x) a)
(*.f64 a x)
#s(approx (- (exp (* a x)) 1) (*.f64 a (/.f64 a (/.f64 a x))))
(*.f64 a (/.f64 a (/.f64 a x)))
(/.f64 a (/.f64 a x))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a x)))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* 2 (* a x))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))))
#s(approx (* (+ a a) x) #s(hole binary64 (* 2 (* a x))))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx a #s(hole binary64 a))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 2))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a x))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (exp (* x a)) #s(hole binary64 1))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a x))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2)))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))))
#s(approx (* (/ a x) (* x x)) #s(hole binary64 (* a x)))
#s(approx (/ a x) #s(hole binary64 (/ a x)))
#s(approx (/ (* (* a a) x) a) #s(hole binary64 (* a x)))
#s(approx (* (* a a) x) #s(hole binary64 (* (pow a 2) x)))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (/ (* (* a x) a) a) #s(hole binary64 (* a x)))
#s(approx (* (* a x) a) #s(hole binary64 (* (pow a 2) x)))
#s(approx (* a x) #s(hole binary64 (* a x)))
#s(approx (* a (/ a (/ a x))) #s(hole binary64 (* a x)))
#s(approx (/ a (/ a x)) #s(hole binary64 x))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (- (exp (* 2 (* a x))) 1)))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 1 (exp (* a x)))))
#s(approx (exp (* x a)) #s(hole binary64 (exp (* a x))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))))
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
Outputs
(*.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (+.f64 a a) x))) #s(literal -1 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 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 a a) x)) (-.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 (*.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64))))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 a a) x)))) (neg.f64 (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 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) x))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a))))
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 a a) x))) (neg.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (+.f64 a a) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (+.f64 a a) x)))))
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a))))
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(expm1.f64 (*.f64 x a))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64)))))))
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.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 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))
(+.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.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 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64)))))))
(/.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64))))))
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) x))))
(fma.f64 (fabs.f64 (exp.f64 (*.f64 x a))) (fabs.f64 (exp.f64 (*.f64 x a))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (exp.f64 (*.f64 x a))) (neg.f64 (exp.f64 (*.f64 x a))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 x a)) (exp.f64 (*.f64 x a)) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (+.f64 a a))) x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 x a)))
(expm1.f64 (*.f64 (+.f64 a a) x))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64)))))))
(-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))
(+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal -1 binary64))
(*.f64 (+.f64 a a) x)
(*.f64 #s(literal 2 binary64) (*.f64 x a))
(*.f64 (*.f64 x a) #s(literal 2 binary64))
(*.f64 x (+.f64 a a))
(/.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 x a) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 x a) (*.f64 x a) (-.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 (*.f64 x a) (*.f64 x a)))))
(fma.f64 x a (*.f64 x a))
(fma.f64 a x (*.f64 x a))
(+.f64 (*.f64 x a) (*.f64 x a))
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 a a))) (neg.f64 (-.f64 a a)))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 a a) a))) (neg.f64 (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 a a)) (-.f64 a a))
(/.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 a a) a)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))
(neg.f64 (-.f64 (neg.f64 a) a))
(-.f64 (/.f64 (*.f64 a a) (-.f64 a a)) (/.f64 (*.f64 a a) (-.f64 a a)))
(+.f64 (/.f64 (*.f64 (*.f64 a a) a) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) (/.f64 (*.f64 (*.f64 a a) a) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))))
(+.f64 a a)
a
x
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x a)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x a))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 a a) x))) (neg.f64 (expm1.f64 (*.f64 x a))))
(/.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (expm1.f64 (*.f64 x a)))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a)))) (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a)))))
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (expm1.f64 (*.f64 x a))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.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 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x a)))))) (/.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x a)))))))
(+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a)))
(pow.f64 (exp.f64 a) x)
(pow.f64 (exp.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))))))
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(exp.f64 (*.f64 x a))
(+.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a)))
(*.f64 x a)
(*.f64 a x)
#s(literal -1 binary64)
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 x x) a) x))
(*.f64 (*.f64 (/.f64 a x) x) x)
(*.f64 (*.f64 x x) (/.f64 a x))
(*.f64 (/.f64 a x) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) a)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 x x) a) x)
(*.f64 a (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 x a) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 a) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x a)))
(/.f64 a x)
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a a) x) a))
(*.f64 (*.f64 (*.f64 a a) x) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 a a) (/.f64 x a))
(*.f64 (*.f64 x a) (/.f64 a a))
(pow.f64 (/.f64 a (*.f64 (*.f64 a a) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 a a) x))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 (*.f64 a a) x)) (neg.f64 a))
(/.f64 (*.f64 (*.f64 a a) x) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (*.f64 a a) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 (*.f64 a a) x))))
(*.f64 (*.f64 a a) x)
(*.f64 (*.f64 x a) a)
(*.f64 x (*.f64 a a))
(*.f64 a (*.f64 x a))
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 a a)
(pow.f64 (exp.f64 (log.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))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a a) x) a))
(*.f64 (*.f64 (*.f64 a a) x) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 a a) (/.f64 x a))
(*.f64 (*.f64 x a) (/.f64 a a))
(pow.f64 (/.f64 a (*.f64 (*.f64 a a) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 a a) x))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (*.f64 (*.f64 a a) x)) (neg.f64 a))
(/.f64 (*.f64 (*.f64 a a) x) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (*.f64 a a) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 (*.f64 a a) x))))
(*.f64 (*.f64 a a) x)
(*.f64 (*.f64 x a) a)
(*.f64 x (*.f64 a a))
(*.f64 a (*.f64 x a))
(*.f64 x a)
(*.f64 a x)
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 a a) x) a))
(*.f64 (/.f64 (fabs.f64 a) a) (/.f64 (fabs.f64 a) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (neg.f64 a) a) (/.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 a a) (/.f64 a (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (/.f64 a a) x) a)
(*.f64 a (*.f64 (/.f64 a a) x))
(/.f64 (neg.f64 (*.f64 a a)) (neg.f64 (/.f64 a x)))
(/.f64 (*.f64 a a) (/.f64 a x))
(*.f64 (/.f64 a a) x)
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) x))
(pow.f64 (/.f64 (/.f64 a x) a) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 (/.f64 a x))))
(/.f64 (neg.f64 a) (neg.f64 (/.f64 a x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a x) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a x) a)))
(/.f64 a (/.f64 a x))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) a x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 2/3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) x)))) a (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) a x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 a (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 2/3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) x)))) (*.f64 (*.f64 (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/4 binary64))))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 2/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) x)))) a (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) a x) a))
#s(approx (- (exp (* (+ a a) x)) 1) (*.f64 (+.f64 a a) x))
#s(approx (- (exp (* (+ a a) x)) 1) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x (*.f64 (*.f64 x x) a))) a))
#s(approx (- (exp (* (+ a a) x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 4/3 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) a (+.f64 x x)) a))
#s(approx (- (exp (* (+ a a) x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 2/3 binary64) a) (*.f64 (*.f64 x x) (*.f64 x x)))) a (*.f64 (*.f64 x x) #s(literal 2 binary64))) a (+.f64 x x)) a))
#s(approx (* (+ a a) x) (*.f64 (+.f64 a a) x))
#s(approx (+ a a) (+.f64 a a))
#s(approx a a)
#s(approx (- (exp (* x a)) -1) #s(literal 2 binary64))
#s(approx (- (exp (* x a)) -1) (fma.f64 x a #s(literal 2 binary64)))
#s(approx (- (exp (* x a)) -1) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 2 binary64)))
#s(approx (- (exp (* x a)) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) a) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) a x) a #s(literal 2 binary64)))
#s(approx (exp (* x a)) #s(literal 1 binary64))
#s(approx (exp (* x a)) (fma.f64 x a #s(literal 1 binary64)))
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64)))
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) a) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) a x) a #s(literal 1 binary64)))
#s(approx (* a x) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) a) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) a x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 1/24 binary64) a) (*.f64 (*.f64 x x) (*.f64 x x)))) a (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) a x) a))
#s(approx (* (/ a x) (* x x)) (*.f64 x a))
#s(approx (/ a x) (/.f64 a x))
#s(approx (/ (* (* a x) a) a) (*.f64 x a))
#s(approx (* (* a x) a) (*.f64 (*.f64 a a) x))
#s(approx (* a a) (*.f64 a a))
#s(approx (/ (* (* a x) a) a) (*.f64 x a))
#s(approx (* (* a x) a) (*.f64 (*.f64 a a) x))
#s(approx (* a x) (*.f64 x a))
#s(approx (* a (/ a (/ a x))) (*.f64 x a))
#s(approx (/ a (/ a x)) x)
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a)))
#s(approx (- (exp (* (+ a a) x)) 1) (expm1.f64 (*.f64 (+.f64 a a) x)))
#s(approx (- (exp (* x a)) -1) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
#s(approx (exp (* x a)) (exp.f64 (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a)))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) x a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 2/3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/4 binary64)))) x (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) x a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 x (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/12 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 2/3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/4 binary64)))) a) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 2/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/4 binary64)))) x (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) x a) x))
#s(approx (- (exp (* (+ a a) x)) 1) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a (*.f64 (*.f64 a a) x))) x))
#s(approx (- (exp (* (+ a a) x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 4/3 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) x (+.f64 a a)) x))
#s(approx (- (exp (* (+ a a) x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) x)) x (*.f64 (*.f64 a a) #s(literal 2 binary64))) x (+.f64 a a)) x))
#s(approx x x)
#s(approx (- (exp (* x a)) -1) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x a) x #s(literal 2 binary64)))
#s(approx (- (exp (* x a)) -1) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 2 binary64)))
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x a) x #s(literal 1 binary64)))
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) x)) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
#s(approx (* x x) (*.f64 x x))

eval21.0ms (1.2%)

Memory
23.6MiB live, 23.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 833 to 834 computations (54.5% saved)

prune12.0ms (0.7%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Pruning

17 alts after pruning (3 fresh and 14 done)

PrunedKeptTotal
New2002202
Fresh112
Picked055
Done099
Total20117218
Accuracy
100.0%
Counts
218 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64))))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))
100.0%
(/.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
21.8%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
20.0%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
72.3%
(expm1.f64 (*.f64 (/.f64 a x) (*.f64 x x)))
100.0%
(expm1.f64 (*.f64 x a))
49.8%
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a x) a) a))
40.8%
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a a) x) a))
44.5%
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 x x) (/.f64 x a)))
38.5%
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 a a) (/.f64 a x)))
59.5%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
39.0%
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 x a) (*.f64 a a)))
44.5%
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 a x) (*.f64 x x)))
50.4%
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 x a) a) a))
49.8%
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 a x) x) x))
64.9%
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
49.9%
#s(approx (- (exp (* a x)) 1) (*.f64 a (/.f64 a (/.f64 a x))))
Compiler

Compiled 301 to 245 computations (18.6% saved)

regimes30.0ms (1.7%)

Memory
-19.6MiB live, 36.7MiB allocated; 7ms collecting garbage
Counts
20 → 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 x a))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 a x) x) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 x a) a) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 a x) (*.f64 x x)))
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 x a) (*.f64 a a)))
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a a) x) a))
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a x) a) a))
#s(approx (- (exp (* a x)) 1) (*.f64 a (/.f64 a (/.f64 a x))))
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 a a) (/.f64 a x)))
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 x x) (/.f64 x a)))
(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))
(expm1.f64 (*.f64 (/.f64 a x) (*.f64 x x)))
(/.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64))))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64))))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))
Outputs
(expm1.f64 (*.f64 x a))
Calls

5 calls:

11.0ms
x
5.0ms
a
5.0ms
(*.f64 a x)
4.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
4.0ms
(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)

regimes19.0ms (1.1%)

Memory
-20.5MiB live, 24.5MiB allocated; 5ms collecting garbage
Counts
12 → 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 x a))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 a x) x) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 x a) a) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 a x) (*.f64 x x)))
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 x a) (*.f64 a a)))
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a a) x) a))
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a x) a) a))
#s(approx (- (exp (* a x)) 1) (*.f64 a (/.f64 a (/.f64 a x))))
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 a a) (/.f64 a x)))
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 x x) (/.f64 x a)))
Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Calls

5 calls:

6.0ms
(exp.f64 (*.f64 a x))
3.0ms
a
3.0ms
x
3.0ms
(*.f64 a x)
2.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
64.9%1(*.f64 a x)
64.9%1(exp.f64 (*.f64 a x))
64.9%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
64.9%1a
64.9%1x
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.3%)

Memory
10.6MiB live, 10.6MiB allocated; 0ms 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:

1.0ms
(*.f64 a x)
1.0ms
x
1.0ms
a
1.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
20.0%1a
20.0%1x
20.0%1(*.f64 a x)
20.0%1(exp.f64 (*.f64 a x))
20.0%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

derivations51.0ms (3%)

Memory
0.1MiB live, 46.5MiB allocated; 2ms collecting garbage
Stop Event
fuel
Compiler

Compiled 15 to 12 computations (20% saved)

preprocess27.0ms (1.6%)

Memory
2.6MiB live, 47.4MiB allocated; 6ms collecting garbage
Remove

(sort a x)

Compiler

Compiled 63 to 60 computations (4.8% saved)

end0.0ms (0%)

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

Profiling

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