expax (section 3.5)

Time bar (total: 1.7s)

start0.0ms (0%)

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

analyze49.0ms (2.8%)

Memory
-22.8MiB live, 25.4MiB allocated; 22ms 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)

sample470.0ms (27.3%)

Memory
17.7MiB live, 470.1MiB allocated; 79ms collecting garbage
Samples
257.0ms8 256×0valid
13.0ms320×0invalid
Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-expm1: 57.0ms (48.4% of total)
ival-mult!: 57.0ms (48.4% of total)
adjust: 2.0ms (1.7% of total)
ival->: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

preprocess31.0ms (1.8%)

Memory
36.9MiB live, 36.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01940
16440
213440
360840
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.1%
(-.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
4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Counts
6 → 17
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 1 binary64)
Outputs
#s(approx (- (exp (* a x)) 1) #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 #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
x
@-inf
((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)
1.0ms
a
@inf
((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)
1.0ms
x
@0
((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1)

rewrite228.0ms (13.3%)

Memory
-31.0MiB live, 123.9MiB allocated; 55ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083314
086314
1574314
06656271
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
23 → 85
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 #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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a)))) (exp.f64 (*.f64 x a)))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (exp.f64 (*.f64 x a)))
(*.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))
(*.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))))))
(*.f64 (exp.f64 (*.f64 x a)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x a)) #s(literal 2 binary64)) #s(literal 2 binary64)) #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 (neg.f64 (expm1.f64 (*.f64 x a))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))) (cosh.f64 (*.f64 x a)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (cosh.f64 (*.f64 x a)) (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (sinh.f64 (*.f64 x a))))
(fma.f64 (cosh.f64 (*.f64 x a)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (*.f64 (sinh.f64 (*.f64 x a)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x)))))
(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 (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (cosh.f64 (*.f64 x a))) (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (sinh.f64 (*.f64 x a))))
(+.f64 (*.f64 (cosh.f64 (*.f64 x a)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x)))) (*.f64 (sinh.f64 (*.f64 x a)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x)))))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a)))
(+.f64 (cosh.f64 (*.f64 x a)) (+.f64 (sinh.f64 (*.f64 x a)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))) (cosh.f64 (*.f64 x a)))
(*.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))))
(*.f64 (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))))))
(sqrt.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))))
(-.f64 (cosh.f64 (*.f64 x a)) (neg.f64 (sinh.f64 (*.f64 x a))))
(fabs.f64 (neg.f64 (exp.f64 (*.f64 x a))))
(fabs.f64 (exp.f64 (*.f64 x a)))
(+.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))
(+.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 (/.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) x) a)
(*.f64 (*.f64 #s(literal 1 binary64) a) x)
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 a #s(literal 1 binary64)))
(*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 x a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x a))
(*.f64 x (/.f64 a #s(literal 1 binary64)))
(*.f64 x a)
(*.f64 a (/.f64 x #s(literal 1 binary64)))
(*.f64 a x)
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 a) x) #s(literal -1 binary64))
(/.f64 (*.f64 x a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x a)))
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 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)

eval7.0ms (0.4%)

Memory
9.4MiB live, 9.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 591 to 249 computations (57.9% saved)

prune5.0ms (0.3%)

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New72779
Fresh000
Picked011
Done000
Total72880
Accuracy
100.0%
Counts
80 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(-.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1 binary64))
49.1%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
20.8%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
18.3%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
71.0%
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (exp.f64 (*.f64 x a)))
100.0%
(expm1.f64 (*.f64 x a))
60.0%
#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))
70.6%
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Compiler

Compiled 130 to 128 computations (1.5% saved)

series11.0ms (0.6%)

Memory
-32.1MiB live, 13.3MiB allocated; 4ms collecting garbage
Counts
16 → 40
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))
(-.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))
(*.f64 (*.f64 x a) #s(literal 2 binary64))
#s(literal 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 a #s(hole binary64 a))
#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 (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2))))))))
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2)))))))))
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (- (* 2 (pow x 2)) (pow x 2))) (* a (+ (* 1/2 (* a (- (* 2/3 (pow x 4)) (+ (* 1/4 (pow (- (* 2 (pow x 2)) (pow x 2)) 2)) (* x (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2))))))))) (* 1/2 (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))))))))))
#s(approx (sqrt (exp (* (* x a) 2))) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2)))))))))
#s(approx (sqrt (exp (* (* x a) 2))) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2))))))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* 2 (* a x)))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))))
#s(approx (* (* x a) 2) #s(hole binary64 (* 2 (* a x))))
#s(approx (- (exp (* x a)) 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 (/ 1 a)))))
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (- (sqrt (exp (* 2 (* a x)))) 1)))
#s(approx (sqrt (exp (* (* x a) 2))) #s(hole binary64 (sqrt (exp (* 2 (* a x))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (exp (* 2 (* a x)))))
#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)) #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 (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2))))))))
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2)))))))))
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (- (* 2 (pow a 2)) (pow a 2))) (* x (+ (* 1/2 (* x (- (* 2/3 (pow a 4)) (+ (* 1/4 (pow (- (* 2 (pow a 2)) (pow a 2)) 2)) (* a (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2))))))))) (* 1/2 (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))))))))))
#s(approx (sqrt (exp (* (* x a) 2))) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2)))))))))
#s(approx (sqrt (exp (* (* x a) 2))) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2))))))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
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) (- (sqrt (exp (* (* x a) 2))) 1) (sqrt (exp (* (* x a) 2))) (exp (* (* x a) 2)) (* (* x a) 2) 2)
2.0ms
a
@0
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (sqrt (exp (* (* x a) 2))) 1) (sqrt (exp (* (* x a) 2))) (exp (* (* x a) 2)) (* (* x a) 2) 2)
1.0ms
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) (- (sqrt (exp (* (* x a) 2))) 1) (sqrt (exp (* (* x a) 2))) (exp (* (* x a) 2)) (* (* x a) 2) 2)
1.0ms
x
@-inf
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (sqrt (exp (* (* x a) 2))) 1) (sqrt (exp (* (* x a) 2))) (exp (* (* x a) 2)) (* (* x a) 2) 2)
1.0ms
a
@inf
((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (sqrt (exp (* (* x a) 2))) 1) (sqrt (exp (* (* x a) 2))) (exp (* (* x a) 2)) (* (* x a) 2) 2)

rewrite194.0ms (11.3%)

Memory
25.1MiB live, 206.0MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02331090
02461044
11876993
08794938
Stop Event
iter-limit
node-limit
iter-limit
Counts
56 → 193
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))
(-.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))
(*.f64 (*.f64 x a) #s(literal 2 binary64))
#s(literal 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 a #s(hole binary64 a))
#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 (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2))))))))
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2)))))))))
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (- (* 2 (pow x 2)) (pow x 2))) (* a (+ (* 1/2 (* a (- (* 2/3 (pow x 4)) (+ (* 1/4 (pow (- (* 2 (pow x 2)) (pow x 2)) 2)) (* x (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2))))))))) (* 1/2 (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))))))))))
#s(approx (sqrt (exp (* (* x a) 2))) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2)))))))))
#s(approx (sqrt (exp (* (* x a) 2))) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2))))))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* 2 (* a x)))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))))
#s(approx (* (* x a) 2) #s(hole binary64 (* 2 (* a x))))
#s(approx (- (exp (* x a)) 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 (/ 1 a)))))
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (- (sqrt (exp (* 2 (* a x)))) 1)))
#s(approx (sqrt (exp (* (* x a) 2))) #s(hole binary64 (sqrt (exp (* 2 (* a x))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (exp (* 2 (* a x)))))
#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)) #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 (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2))))))))
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2)))))))))
#s(approx (- (sqrt (exp (* (* x a) 2))) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (- (* 2 (pow a 2)) (pow a 2))) (* x (+ (* 1/2 (* x (- (* 2/3 (pow a 4)) (+ (* 1/4 (pow (- (* 2 (pow a 2)) (pow a 2)) 2)) (* a (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2))))))))) (* 1/2 (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))))))))))
#s(approx (sqrt (exp (* (* x a) 2))) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2)))))))))
#s(approx (sqrt (exp (* (* x a) 2))) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2))))))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))))
#s(approx (exp (* (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 a x)))) (exp.f64 (*.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 (+.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 (expm1.f64 (*.f64 (+.f64 a a) x)) (+.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 a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64))))))
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(fma.f64 (sqrt.f64 (exp.f64 (*.f64 a x))) (sqrt.f64 (exp.f64 (*.f64 a x))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 1/2 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal 1/2 binary64)))
(expm1.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64)))
(expm1.f64 (*.f64 a x))
(-.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 (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 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(*.f64 a x)
(*.f64 x a)
x
a
(*.f64 (-.f64 #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 (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 (neg.f64 (-.f64 (*.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 (-.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))) #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(literal 1 binary64) (*.f64 #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))) #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))) #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)))))
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #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(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(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(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.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(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #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(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.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))) (neg.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.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))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.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(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))) (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(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.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))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 3 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(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 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(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))))))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x))) (*.f64 a x))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) a) x)
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) x) a)
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) x))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) a))
(/.f64 (fma.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 a x) (pow.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 a x) (*.f64 a x) (-.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 a x) (*.f64 x (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (fma.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 a x) (pow.f64 (*.f64 a (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) (fma.f64 (*.f64 a x) (*.f64 a x) (-.f64 (*.f64 (*.f64 a (/.f64 #s(literal 1 binary64) a)) (*.f64 a (/.f64 #s(literal 1 binary64) a))) (*.f64 (*.f64 a x) (*.f64 a (/.f64 #s(literal 1 binary64) a))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 a) x) (*.f64 (neg.f64 a) x) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (*.f64 a x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (*.f64 a x) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 a x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (fma.f64 (*.f64 a x) (*.f64 a x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 a x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a x) (*.f64 a x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 a x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 #s(literal 1 binary64) (*.f64 a x))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 a x) (*.f64 a x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) (*.f64 a x))) (-.f64 #s(literal 1 binary64) (*.f64 a x)))
(/.f64 (-.f64 (*.f64 (*.f64 a x) (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (*.f64 a x) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 #s(literal 1 binary64) (*.f64 a x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (*.f64 a x) (*.f64 a x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1 binary64)))))
(fma.f64 a x (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(fma.f64 a x (*.f64 a (/.f64 #s(literal 1 binary64) a)))
(fma.f64 a x #s(literal 1 binary64))
(fma.f64 x a (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x a (*.f64 a (/.f64 #s(literal 1 binary64) a)))
(fma.f64 x a #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) (/.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (-.f64 #s(literal 1 binary64) (*.f64 a x))))
(-.f64 (/.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (-.f64 (*.f64 a x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x))
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 a x)))
(-.f64 (*.f64 a x) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 #s(literal 1 binary64) (*.f64 a x))))) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 #s(literal 1 binary64) (*.f64 a x))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 a x) (*.f64 a x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (*.f64 a x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a x) #s(literal 1 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 a x))
(+.f64 (*.f64 a x) (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 a x) (*.f64 a (/.f64 #s(literal 1 binary64) a)))
(+.f64 (*.f64 a x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 a x)))) (exp.f64 (*.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 (+.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 (expm1.f64 (*.f64 (+.f64 a a) x)) (+.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 a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64))))))
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(fma.f64 (sqrt.f64 (exp.f64 (*.f64 a x))) (sqrt.f64 (exp.f64 (*.f64 a x))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 1/2 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal 1/2 binary64)))
(expm1.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64)))
(expm1.f64 (*.f64 a x))
(-.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 (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 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (exp.f64 (*.f64 a x))) (sqrt.f64 (exp.f64 (*.f64 a x))))
(*.f64 (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 a) x)
(pow.f64 (exp.f64 x) a)
(pow.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x)) (-.f64 (*.f64 (sinh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x))) (*.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x))))))
(sqrt.f64 (exp.f64 (*.f64 (+.f64 a a) x)))
(fabs.f64 (neg.f64 (exp.f64 (*.f64 a x))))
(fabs.f64 (exp.f64 (*.f64 a x)))
(+.f64 (cosh.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (sinh.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x)))
(exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal 1/2 binary64)))
(exp.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64)))
(exp.f64 (*.f64 a x))
(*.f64 (neg.f64 (exp.f64 (*.f64 a x))) (neg.f64 (exp.f64 (*.f64 a x))))
(*.f64 (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a x)))
(*.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a x)))
(pow.f64 (exp.f64 (+.f64 a a)) x)
(pow.f64 (*.f64 (exp.f64 a) (exp.f64 a)) x)
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) a)
(pow.f64 (*.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))
(pow.f64 (exp.f64 a) (+.f64 x x))
(pow.f64 (exp.f64 x) (+.f64 a a))
(pow.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (*.f64 a x)) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (+.f64 a a) x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (+.f64 a a) x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (+.f64 a a) x)) (cosh.f64 (*.f64 (+.f64 a a) x)) (-.f64 (*.f64 (sinh.f64 (*.f64 (+.f64 a a) x)) (sinh.f64 (*.f64 (+.f64 a a) x))) (*.f64 (cosh.f64 (*.f64 (+.f64 a a) x)) (sinh.f64 (*.f64 (+.f64 a a) x))))))
(sqrt.f64 (*.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (exp.f64 (*.f64 (+.f64 a a) x))))
(fabs.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 a a) x))))
(fabs.f64 (exp.f64 (*.f64 (+.f64 a a) x)))
(+.f64 (cosh.f64 (*.f64 (+.f64 a a) x)) (sinh.f64 (*.f64 (+.f64 a a) x)))
(exp.f64 (+.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (/.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 a x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 a x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 a a) x))
(*.f64 (+.f64 a a) x)
(*.f64 #s(literal 2 binary64) (*.f64 a x))
(*.f64 (*.f64 a x) #s(literal 2 binary64))
(*.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))
#s(literal 2 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 (*.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 #s(literal 1/24 binary64) a) (*.f64 (*.f64 x x) (*.f64 x x)))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx a a)
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #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 (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x)) a (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))) a x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 a (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1/4 binary64) (*.f64 (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x)) x))) (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x)))) a (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))) a x) a))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x) a #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x)) a (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))) a x) a #s(literal 1 binary64)))
#s(approx (exp (* (* x a) 2)) (fma.f64 (+.f64 a a) x #s(literal 1 binary64)))
#s(approx (exp (* (* x a) 2)) (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 x (*.f64 (*.f64 x x) a))) a #s(literal 1 binary64)))
#s(approx (exp (* (* x a) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (*.f64 x x) x) a) (*.f64 (*.f64 x x) #s(literal 2 binary64))) a (+.f64 x x)) a #s(literal 1 binary64)))
#s(approx (* (* x a) 2) (*.f64 (+.f64 a 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) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x)))
#s(approx (exp (* a x)) (exp.f64 (*.f64 a x)))
#s(approx (exp (* (* x a) 2)) (exp.f64 (*.f64 (+.f64 a a) x)))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) 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 a a) (*.f64 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)) (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 (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a)) x (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)))) x a) x))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 2/3 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (-.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) #s(literal 1/4 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a)) a))) (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a)))) x (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) #s(literal 1/2 binary64))) x a) x))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a) x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a)) x (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)))) x a) x #s(literal 1 binary64)))
#s(approx (exp (* (* x a) 2)) (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 a (*.f64 (*.f64 a a) x))) x #s(literal 1 binary64)))
#s(approx (exp (* (* x a) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64)) x (*.f64 (*.f64 a a) #s(literal 2 binary64))) x (+.f64 a a)) x #s(literal 1 binary64)))
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))

eval18.0ms (1%)

Memory
22.6MiB live, 22.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 740 to 679 computations (61% saved)

prune23.0ms (1.3%)

Memory
-36.3MiB live, 9.8MiB allocated; 3ms collecting garbage
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New1614165
Fresh202
Picked145
Done011
Total1649173
Accuracy
100.0%
Counts
173 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))) #s(literal 1 binary64))
49.0%
(-.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal 1 binary64))
49.1%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
20.8%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
20.8%
(-.f64 #s(approx (exp (* a x)) (-.f64 (*.f64 a x) #s(literal -1 binary64))) #s(literal 1 binary64))
18.3%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
64.0%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
70.6%
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Compiler

Compiled 72 to 72 computations (0% saved)

series14.0ms (0.8%)

Memory
22.7MiB live, 22.7MiB allocated; 0ms collecting garbage
Counts
24 → 52
Calls
Call 1
Inputs
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)
(fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x)
(*.f64 (*.f64 x x) a)
(*.f64 x x)
x
a
#s(literal 1/2 binary64)
(-.f64 #s(approx (exp (* a x)) (-.f64 (*.f64 a x) #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (-.f64 (*.f64 a x) #s(literal -1 binary64)))
(-.f64 (*.f64 a x) #s(literal -1 binary64))
(*.f64 a x)
#s(literal -1 binary64)
#s(literal 1 binary64)
(-.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal 1 binary64))
(sqrt.f64 (exp.f64 (*.f64 (+.f64 a a) x)))
(exp.f64 (*.f64 (+.f64 a a) x))
(*.f64 (+.f64 a a) x)
(+.f64 a a)
(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))
(exp.f64 #s(literal 2 binary64))
#s(literal 2 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 (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (* (* x x) a) #s(hole binary64 (* a (pow x 2))))
#s(approx a #s(hole binary64 a))
#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 (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2))))))))
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2)))))))))
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (- (* 2 (pow x 2)) (pow x 2))) (* a (+ (* 1/2 (* a (- (* 2/3 (pow x 4)) (+ (* 1/4 (pow (- (* 2 (pow x 2)) (pow x 2)) 2)) (* x (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2))))))))) (* 1/2 (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))))))))))
#s(approx (sqrt (exp (* (+ a a) x))) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2)))))))))
#s(approx (sqrt (exp (* (+ a a) x))) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2))))))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* 2 (* a x)))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))))
#s(approx (* (+ a a) x) #s(hole binary64 (* 2 (* a x))))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (- (* a x) -1) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (- (sqrt (exp (* 2 (* a x)))) 1)))
#s(approx (sqrt (exp (* (+ a a) x))) #s(hole binary64 (sqrt (exp (* 2 (* a x))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (exp (* 2 (* a x)))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))))
#s(approx (- (* a x) -1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#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) a) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2))))))))
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2)))))))))
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (- (* 2 (pow a 2)) (pow a 2))) (* x (+ (* 1/2 (* x (- (* 2/3 (pow a 4)) (+ (* 1/4 (pow (- (* 2 (pow a 2)) (pow a 2)) 2)) (* a (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2))))))))) (* 1/2 (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))))))))))
#s(approx (sqrt (exp (* (+ a a) x))) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2)))))))))
#s(approx (sqrt (exp (* (+ a a) x))) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2))))))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))))
#s(approx (- (* a x) -1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (- (* a x) -1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
Calls

6 calls:

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

rewrite219.0ms (12.7%)

Memory
-9.1MiB live, 229.0MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02761373
02991331
121061285
098081177
Stop Event
iter-limit
node-limit
iter-limit
Counts
76 → 312
Calls
Call 1
Inputs
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)
(fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x)
(*.f64 (*.f64 x x) a)
(*.f64 x x)
x
a
#s(literal 1/2 binary64)
(-.f64 #s(approx (exp (* a x)) (-.f64 (*.f64 a x) #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (-.f64 (*.f64 a x) #s(literal -1 binary64)))
(-.f64 (*.f64 a x) #s(literal -1 binary64))
(*.f64 a x)
#s(literal -1 binary64)
#s(literal 1 binary64)
(-.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal 1 binary64))
(sqrt.f64 (exp.f64 (*.f64 (+.f64 a a) x)))
(exp.f64 (*.f64 (+.f64 a a) x))
(*.f64 (+.f64 a a) x)
(+.f64 a a)
(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))
(exp.f64 #s(literal 2 binary64))
#s(literal 2 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 (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 x))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2))))))
#s(approx (* (* x x) a) #s(hole binary64 (* a (pow x 2))))
#s(approx a #s(hole binary64 a))
#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 (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2))))))))
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2)))))))))
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (- (* 2 (pow x 2)) (pow x 2))) (* a (+ (* 1/2 (* a (- (* 2/3 (pow x 4)) (+ (* 1/4 (pow (- (* 2 (pow x 2)) (pow x 2)) 2)) (* x (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2))))))))) (* 1/2 (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))))))))))
#s(approx (sqrt (exp (* (+ a a) x))) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2)))))))))
#s(approx (sqrt (exp (* (+ a a) x))) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2))))))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* 2 (* a x)))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))))
#s(approx (* (+ a a) x) #s(hole binary64 (* 2 (* a x))))
#s(approx (+ a a) #s(hole binary64 (* 2 a)))
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1)))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2)))))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* 1/2 (* a (pow x 2)))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a)))))
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x))))
#s(approx (- (* a x) -1) #s(hole binary64 (* a (+ x (/ 1 a)))))
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (- (sqrt (exp (* 2 (* a x)))) 1)))
#s(approx (sqrt (exp (* (+ a a) x))) #s(hole binary64 (sqrt (exp (* 2 (* a x))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (exp (* 2 (* a x)))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))))
#s(approx (- (* a x) -1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a))))))
#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) a) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2))))))))
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2)))))))))
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (- (* 2 (pow a 2)) (pow a 2))) (* x (+ (* 1/2 (* x (- (* 2/3 (pow a 4)) (+ (* 1/4 (pow (- (* 2 (pow a 2)) (pow a 2)) 2)) (* a (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2))))))))) (* 1/2 (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))))))))))
#s(approx (sqrt (exp (* (+ a a) x))) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2)))))))))
#s(approx (sqrt (exp (* (+ a a) x))) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2))))))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))))
#s(approx (exp (* (+ a a) x)) #s(hole binary64 (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))))
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))))
#s(approx (- (* a x) -1) #s(hole binary64 (* x (+ a (/ 1 x)))))
#s(approx (- (* a x) -1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x))))))
Outputs
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)
(*.f64 a (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 x x)) (*.f64 x a) (pow.f64 (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 a a) (*.f64 x x) (-.f64 (*.f64 (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x a) (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 x x)) (*.f64 x a) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a) #s(literal 3 binary64))) (fma.f64 (*.f64 a a) (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a)) (*.f64 (*.f64 x a) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a)))))
(fma.f64 x a (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))
(fma.f64 x a (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a))
(fma.f64 a x (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))
(fma.f64 a x (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a))
(+.f64 (*.f64 x a) (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))
(+.f64 (*.f64 x a) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x)) x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) a (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (neg.f64 x) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (fma.f64 x x (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) a)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) a)) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) a))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 x (neg.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (pow.f64 (*.f64 (*.f64 x x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))) (-.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x))))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (pow.f64 (*.f64 (*.f64 x x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 x x) x)
(fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x)
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) a) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) a) x)
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) (-.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (neg.f64 x))
(-.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) a)))
(-.f64 x (neg.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x)))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x)
(+.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) a)
(*.f64 x (*.f64 x a))
(*.f64 a (*.f64 x 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))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
a
#s(literal 1/2 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))))) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64)))) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64)))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (log.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64)))) (+.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))))))
(-.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64))
#s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x a))) (*.f64 x a))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) a) x)
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) x) a)
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) a))
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) x))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 x x)) (*.f64 x a) (pow.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 a a) (*.f64 x x) (-.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 x a) (*.f64 x (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 x x)) (*.f64 x a) (pow.f64 (*.f64 a (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) (fma.f64 (*.f64 a a) (*.f64 x x) (-.f64 (*.f64 (*.f64 a (/.f64 #s(literal 1 binary64) a)) (*.f64 a (/.f64 #s(literal 1 binary64) a))) (*.f64 (*.f64 x a) (*.f64 a (/.f64 #s(literal 1 binary64) a))))))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (*.f64 a a) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 a) x) (*.f64 (neg.f64 a) x) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (*.f64 x a)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x a))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x a))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x a #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 a a) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x a))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 a a) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x a)))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 x a #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 a a) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x a)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (fma.f64 (*.f64 a a) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) #s(literal -1 binary64)))))
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(sqrt.f64 (exp.f64 #s(literal 4 binary64)))
(sqrt.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))))
(fabs.f64 (neg.f64 (exp.f64 #s(literal 2 binary64))))
(fabs.f64 (exp.f64 #s(literal 2 binary64)))
(+.f64 (cosh.f64 #s(literal -2 binary64)) (sinh.f64 #s(literal 2 binary64)))
(exp.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 x a))
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
#s(approx (- (sqrt (exp (* (+ a 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 (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) a) (*.f64 (*.f64 x x) (*.f64 x x)))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (+ (* (* (* x x) a) 1/2) x) x)
#s(approx (+ (* (* (* x x) a) 1/2) x) (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x))
#s(approx (* (* x x) a) (*.f64 (*.f64 x x) a))
#s(approx a a)
#s(approx (sqrt (exp (* (+ a a) x))) #s(literal 1 binary64))
#s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 x a #s(literal 1 binary64)))
#s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64)))
#s(approx (sqrt (exp (* (+ a 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 (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x) a))
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x)) a (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))) a x) a))
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 a (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) #s(literal 1/4 binary64) (*.f64 (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x)) x))) (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x)))) a (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))) a x) a))
#s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x) a #s(literal 1 binary64)))
#s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)) x)) a (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))) a x) a #s(literal 1 binary64)))
#s(approx (exp (* (+ a a) x)) (fma.f64 (+.f64 a a) x #s(literal 1 binary64)))
#s(approx (exp (* (+ a a) x)) (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 x (*.f64 (*.f64 x x) a))) a #s(literal 1 binary64)))
#s(approx (exp (* (+ a a) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (*.f64 x x) x) a) (*.f64 (*.f64 x x) #s(literal 2 binary64))) a (+.f64 x x)) a #s(literal 1 binary64)))
#s(approx (* (+ a a) x) (*.f64 (+.f64 a a) x))
#s(approx (+ a a) (+.f64 a a))
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (expm1.f64 (*.f64 x a)))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) (*.f64 a a)))
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a))
#s(approx (sqrt (exp (* (+ a a) x))) (exp.f64 (*.f64 x a)))
#s(approx (- (* a x) -1) (fma.f64 x a #s(literal 1 binary64)))
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (expm1.f64 (*.f64 x a)))
#s(approx (sqrt (exp (* (+ a a) x))) (exp.f64 (*.f64 x a)))
#s(approx (exp (* (+ a a) x)) (exp.f64 (*.f64 (+.f64 a a) x)))
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (/.f64 (neg.f64 x) a))))
#s(approx (- (* a x) -1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (sqrt (exp (* (+ a 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 (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 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) a) 1/2) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
#s(approx (sqrt (exp (* (+ a 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 (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a) x))
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a)) x (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)))) x a) x))
#s(approx (- (sqrt (exp (* (+ a a) x))) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 2/3 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (-.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) #s(literal 1/4 binary64) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a)) a))) (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a)))) x (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) #s(literal 1/2 binary64))) x a) x))
#s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a) x #s(literal 1 binary64)))
#s(approx (sqrt (exp (* (+ a a) x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)) a)) x (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 a a)))) x a) x #s(literal 1 binary64)))
#s(approx (exp (* (+ a a) x)) (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 a (*.f64 (*.f64 a a) x))) x #s(literal 1 binary64)))
#s(approx (exp (* (+ a a) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64)) x (*.f64 (*.f64 a a) #s(literal 2 binary64))) x (+.f64 a a)) x #s(literal 1 binary64)))
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (*.f64 x x)))
#s(approx (+ (* (* (* x x) a) 1/2) x) (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x))
#s(approx (- (* a x) -1) (fma.f64 x a #s(literal 1 binary64)))
#s(approx (- (* a x) -1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))

eval30.0ms (1.7%)

Memory
7.5MiB live, 51.8MiB allocated; 8ms collecting garbage
Compiler

Compiled 2 648 to 1 079 computations (59.3% saved)

prune7.0ms (0.4%)

Memory
15.8MiB live, 15.8MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New2312233
Fresh000
Picked134
Done055
Total23210242
Accuracy
100.0%
Counts
242 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.1%
(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 x a)))) #s(literal 1 binary64))
49.0%
(-.f64 (sqrt.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1 binary64))
49.0%
(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))) #s(literal 1 binary64))
49.1%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
20.8%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
20.8%
(-.f64 #s(approx (exp (* a x)) (-.f64 (*.f64 a x) #s(literal -1 binary64))) #s(literal 1 binary64))
18.3%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
64.0%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
70.6%
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Compiler

Compiled 84 to 83 computations (1.2% saved)

series20.0ms (1.2%)

Memory
-17.0MiB live, 28.1MiB allocated; 5ms collecting garbage
Counts
15 → 45
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x a) #s(literal 2 binary64))))
(pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x a) #s(literal 2 binary64)))
(*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64)))
(exp.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 x a) #s(literal 2 binary64))
(*.f64 x a)
x
a
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 x a)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 x a))))
(exp.f64 (neg.f64 (*.f64 x a)))
(neg.f64 (*.f64 x a))
Outputs
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* 1/4 (* a (* x (log (pow (exp 2) 2)))))))
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* a (+ (* 1/4 (* x (log (pow (exp 2) 2)))) (* 1/2 (* a (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))))))))))
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* a (+ (* 1/4 (* x (log (pow (exp 2) 2)))) (* a (+ (* 1/2 (* a (- (* 1/48 (* (pow x 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* x (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))))))))) (* 1/2 (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))))))))))
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* a (+ (* 1/4 (* x (log (pow (exp 2) 2)))) (* a (+ (* 1/2 (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))))) (* a (+ (* 1/2 (* a (- (* 1/384 (* (pow x 4) (pow (log (pow (exp 2) 2)) 4))) (+ (* 1/4 (* x (* (log (pow (exp 2) 2)) (- (* 1/48 (* (pow x 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* x (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))))))))))) (* 1/4 (pow (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))) 2)))))) (* 1/2 (- (* 1/48 (* (pow x 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* x (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))))))))))))))))
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 1))
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (+ 1 (* 1/4 (* a (* x (log (pow (exp 2) 2))))))))
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (+ 1 (* a (+ (* 1/4 (* x (log (pow (exp 2) 2)))) (* 1/2 (* a (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))))))))))
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (+ 1 (* a (+ (* 1/4 (* x (log (pow (exp 2) 2)))) (* a (+ (* 1/2 (* a (- (* 1/48 (* (pow x 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* x (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))))))))) (* 1/2 (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))))))))))))
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (+ 1 (* 1/2 (* a (* x (log (pow (exp 2) 2))))))))
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 1/8 (* a (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))) (* 1/2 (* x (log (pow (exp 2) 2)))))))))
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 1/2 (* x (log (pow (exp 2) 2)))) (* a (+ (* 1/48 (* a (* (pow x 3) (pow (log (pow (exp 2) 2)) 3)))) (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))))))))))
#s(approx (/ (* x a) 2) #s(hole binary64 (* 1/2 (* a x))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1 x)))))
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* a (- (* a (- (* -1 (* a (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1 x)))))
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* a (- (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/24 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))))) (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1 x)))))
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (+ 1 (* a x))))
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (+ 1 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1 x))))))
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (+ 1 (* a (- (* a (- (* -1 (* a (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1 x))))))
#s(approx (exp (neg (* x a))) #s(hole binary64 (+ 1 (* -1 (* a x)))))
#s(approx (exp (neg (* x a))) #s(hole binary64 (+ 1 (* a (+ (* -1 x) (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (neg (* x a))) #s(hole binary64 (+ 1 (* a (+ (* -1 x) (* a (+ (* -1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (neg (* x a)) #s(hole binary64 (* -1 (* a x))))
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (- (sqrt (exp (* 1/2 (* a (* x (log (pow (exp 2) 2))))))) 1)))
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (sqrt (exp (* 1/2 (* a (* x (log (pow (exp 2) 2)))))))))
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (exp (* 1/2 (* a (* x (log (pow (exp 2) 2))))))))
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (- (/ 1 (exp (neg (* a x)))) 1)))
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (/ 1 (exp (neg (* a x))))))
#s(approx (exp (neg (* x a))) #s(hole binary64 (exp (neg (* a x)))))
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* x (+ (* 1/4 (* a (log (pow (exp 2) 2)))) (* 1/2 (* x (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))))))))))
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* x (+ (* 1/4 (* a (log (pow (exp 2) 2)))) (* x (+ (* 1/2 (* x (- (* 1/48 (* (pow a 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* a (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))))))))) (* 1/2 (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))))))))))
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* x (+ (* 1/4 (* a (log (pow (exp 2) 2)))) (* x (+ (* 1/2 (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))))) (* x (+ (* 1/2 (* x (- (* 1/384 (* (pow a 4) (pow (log (pow (exp 2) 2)) 4))) (+ (* 1/4 (* a (* (log (pow (exp 2) 2)) (- (* 1/48 (* (pow a 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* a (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))))))))))) (* 1/4 (pow (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))) 2)))))) (* 1/2 (- (* 1/48 (* (pow a 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* a (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))))))))))))))))
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (+ 1 (* x (+ (* 1/4 (* a (log (pow (exp 2) 2)))) (* 1/2 (* x (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))))))))))
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (+ 1 (* x (+ (* 1/4 (* a (log (pow (exp 2) 2)))) (* x (+ (* 1/2 (* x (- (* 1/48 (* (pow a 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* a (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))))))))) (* 1/2 (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))))))))))))
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 1/8 (* (pow a 2) (* x (pow (log (pow (exp 2) 2)) 2)))) (* 1/2 (* a (log (pow (exp 2) 2)))))))))
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* a (log (pow (exp 2) 2)))) (* x (+ (* 1/48 (* (pow a 3) (* x (pow (log (pow (exp 2) 2)) 3)))) (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1 a)))))
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* x (- (* x (- (* -1 (* x (+ (* -1/6 (pow a 3)) (+ (* 1/2 (pow a 3)) (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2)))))))) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1 a)))))
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* x (- (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* (pow a 2) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (+ (* -1/6 (pow a 4)) (+ (* 1/24 (pow a 4)) (* a (+ (* -1/6 (pow a 3)) (+ (* 1/2 (pow a 3)) (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2)))))))))))) (+ (* -1/6 (pow a 3)) (+ (* 1/2 (pow a 3)) (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2)))))))) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1 a)))))
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1 a))))))
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1/6 (pow a 3)) (+ (* 1/2 (pow a 3)) (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2)))))))) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1 a))))))
#s(approx (exp (neg (* x a))) #s(hole binary64 (+ 1 (* x (+ (* -1 a) (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (neg (* x a))) #s(hole binary64 (+ 1 (* x (+ (* -1 a) (* x (+ (* -1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
a
@inf
((- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) (* (exp 2) (exp 2)) (exp 2) 2 (/ (* x a) 2) (* x a) x a 1 (- (/ 1 (exp (neg (* x a)))) 1) (/ 1 (exp (neg (* x a)))) (exp (neg (* x a))) (neg (* x a)))
4.0ms
a
@0
((- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) (* (exp 2) (exp 2)) (exp 2) 2 (/ (* x a) 2) (* x a) x a 1 (- (/ 1 (exp (neg (* x a)))) 1) (/ 1 (exp (neg (* x a)))) (exp (neg (* x a))) (neg (* x a)))
3.0ms
x
@0
((- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) (* (exp 2) (exp 2)) (exp 2) 2 (/ (* x a) 2) (* x a) x a 1 (- (/ 1 (exp (neg (* x a)))) 1) (/ 1 (exp (neg (* x a)))) (exp (neg (* x a))) (neg (* x a)))
2.0ms
a
@-inf
((- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) (* (exp 2) (exp 2)) (exp 2) 2 (/ (* x a) 2) (* x a) x a 1 (- (/ 1 (exp (neg (* x a)))) 1) (/ 1 (exp (neg (* x a)))) (exp (neg (* x a))) (neg (* x a)))
2.0ms
x
@-inf
((- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) (* (exp 2) (exp 2)) (exp 2) 2 (/ (* x a) 2) (* x a) x a 1 (- (/ 1 (exp (neg (* x a)))) 1) (/ 1 (exp (neg (* x a)))) (exp (neg (* x a))) (neg (* x a)))

rewrite229.0ms (13.3%)

Memory
-9.1MiB live, 225.9MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03232391
03401657
125371521
099841411
Stop Event
iter-limit
node-limit
iter-limit
Counts
60 → 191
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x a) #s(literal 2 binary64))))
(pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x a) #s(literal 2 binary64)))
(*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64)))
(exp.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 x a) #s(literal 2 binary64))
(*.f64 x a)
x
a
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 x a)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 x a))))
(exp.f64 (neg.f64 (*.f64 x a)))
(neg.f64 (*.f64 x a))
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* 1/4 (* a (* x (log (pow (exp 2) 2)))))))
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* a (+ (* 1/4 (* x (log (pow (exp 2) 2)))) (* 1/2 (* a (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))))))))))
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* a (+ (* 1/4 (* x (log (pow (exp 2) 2)))) (* a (+ (* 1/2 (* a (- (* 1/48 (* (pow x 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* x (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))))))))) (* 1/2 (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))))))))))
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* a (+ (* 1/4 (* x (log (pow (exp 2) 2)))) (* a (+ (* 1/2 (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))))) (* a (+ (* 1/2 (* a (- (* 1/384 (* (pow x 4) (pow (log (pow (exp 2) 2)) 4))) (+ (* 1/4 (* x (* (log (pow (exp 2) 2)) (- (* 1/48 (* (pow x 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* x (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))))))))))) (* 1/4 (pow (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))) 2)))))) (* 1/2 (- (* 1/48 (* (pow x 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* x (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))))))))))))))))
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 1))
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (+ 1 (* 1/4 (* a (* x (log (pow (exp 2) 2))))))))
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (+ 1 (* a (+ (* 1/4 (* x (log (pow (exp 2) 2)))) (* 1/2 (* a (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))))))))))
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (+ 1 (* a (+ (* 1/4 (* x (log (pow (exp 2) 2)))) (* a (+ (* 1/2 (* a (- (* 1/48 (* (pow x 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* x (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))))))))) (* 1/2 (- (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))))))))))))
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (+ 1 (* 1/2 (* a (* x (log (pow (exp 2) 2))))))))
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 1/8 (* a (* (pow x 2) (pow (log (pow (exp 2) 2)) 2)))) (* 1/2 (* x (log (pow (exp 2) 2)))))))))
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (+ 1 (* a (+ (* 1/2 (* x (log (pow (exp 2) 2)))) (* a (+ (* 1/48 (* a (* (pow x 3) (pow (log (pow (exp 2) 2)) 3)))) (* 1/8 (* (pow x 2) (pow (log (pow (exp 2) 2)) 2))))))))))
#s(approx (/ (* x a) 2) #s(hole binary64 (* 1/2 (* a x))))
#s(approx (* x a) #s(hole binary64 (* a x)))
#s(approx a #s(hole binary64 a))
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1 x)))))
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* a (- (* a (- (* -1 (* a (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1 x)))))
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* a (- (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/24 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))))) (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1 x)))))
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (+ 1 (* a x))))
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (+ 1 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1 x))))))
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (+ 1 (* a (- (* a (- (* -1 (* a (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1 x))))))
#s(approx (exp (neg (* x a))) #s(hole binary64 (+ 1 (* -1 (* a x)))))
#s(approx (exp (neg (* x a))) #s(hole binary64 (+ 1 (* a (+ (* -1 x) (* 1/2 (* a (pow x 2))))))))
#s(approx (exp (neg (* x a))) #s(hole binary64 (+ 1 (* a (+ (* -1 x) (* a (+ (* -1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))))
#s(approx (neg (* x a)) #s(hole binary64 (* -1 (* a x))))
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (- (sqrt (exp (* 1/2 (* a (* x (log (pow (exp 2) 2))))))) 1)))
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (sqrt (exp (* 1/2 (* a (* x (log (pow (exp 2) 2)))))))))
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (exp (* 1/2 (* a (* x (log (pow (exp 2) 2))))))))
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (- (/ 1 (exp (neg (* a x)))) 1)))
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (/ 1 (exp (neg (* a x))))))
#s(approx (exp (neg (* x a))) #s(hole binary64 (exp (neg (* a x)))))
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* x (+ (* 1/4 (* a (log (pow (exp 2) 2)))) (* 1/2 (* x (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))))))))))
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* x (+ (* 1/4 (* a (log (pow (exp 2) 2)))) (* x (+ (* 1/2 (* x (- (* 1/48 (* (pow a 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* a (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))))))))) (* 1/2 (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))))))))))
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) #s(hole binary64 (* x (+ (* 1/4 (* a (log (pow (exp 2) 2)))) (* x (+ (* 1/2 (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))))) (* x (+ (* 1/2 (* x (- (* 1/384 (* (pow a 4) (pow (log (pow (exp 2) 2)) 4))) (+ (* 1/4 (* a (* (log (pow (exp 2) 2)) (- (* 1/48 (* (pow a 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* a (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))))))))))) (* 1/4 (pow (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))) 2)))))) (* 1/2 (- (* 1/48 (* (pow a 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* a (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))))))))))))))))
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (+ 1 (* x (+ (* 1/4 (* a (log (pow (exp 2) 2)))) (* 1/2 (* x (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))))))))))
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(hole binary64 (+ 1 (* x (+ (* 1/4 (* a (log (pow (exp 2) 2)))) (* x (+ (* 1/2 (* x (- (* 1/48 (* (pow a 3) (pow (log (pow (exp 2) 2)) 3))) (* 1/4 (* a (* (log (pow (exp 2) 2)) (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2)))))))))) (* 1/2 (- (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))) (* 1/16 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))))))))))))
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 1/8 (* (pow a 2) (* x (pow (log (pow (exp 2) 2)) 2)))) (* 1/2 (* a (log (pow (exp 2) 2)))))))))
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* a (log (pow (exp 2) 2)))) (* x (+ (* 1/48 (* (pow a 3) (* x (pow (log (pow (exp 2) 2)) 3)))) (* 1/8 (* (pow a 2) (pow (log (pow (exp 2) 2)) 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1 a)))))
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* x (- (* x (- (* -1 (* x (+ (* -1/6 (pow a 3)) (+ (* 1/2 (pow a 3)) (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2)))))))) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1 a)))))
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) #s(hole binary64 (* x (- (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* (pow a 2) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (+ (* -1/6 (pow a 4)) (+ (* 1/24 (pow a 4)) (* a (+ (* -1/6 (pow a 3)) (+ (* 1/2 (pow a 3)) (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2)))))))))))) (+ (* -1/6 (pow a 3)) (+ (* 1/2 (pow a 3)) (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2)))))))) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1 a)))))
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1 a))))))
#s(approx (/ 1 (exp (neg (* x a)))) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1/6 (pow a 3)) (+ (* 1/2 (pow a 3)) (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2)))))))) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (* -1 a))))))
#s(approx (exp (neg (* x a))) #s(hole binary64 (+ 1 (* x (+ (* -1 a) (* 1/2 (* (pow a 2) x)))))))
#s(approx (exp (neg (* x a))) #s(hole binary64 (+ 1 (* x (+ (* -1 a) (* x (+ (* -1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))))
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))))) (fabs.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))) (neg.f64 (+.f64 (fabs.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (fabs.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))) (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))) #s(literal 1 binary64))))))
(/.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))) (+.f64 (fabs.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))) #s(literal 1 binary64)))
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(*.f64 a (neg.f64 x))
(*.f64 x (neg.f64 a))
(neg.f64 (*.f64 a x))
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) a) #s(literal 1/4 binary64)))
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))) a) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) a))
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) #s(literal 64 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))) #s(literal 4 binary64)) x))) a (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))))) a)) a))
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (*.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal 1/2 binary64) (fma.f64 a (-.f64 (*.f64 (*.f64 #s(literal 256 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/384 binary64)) (*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) #s(literal 64 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))) #s(literal 4 binary64)) x))) #s(literal 4 binary64)) x (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))))))) (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) #s(literal 64 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))) #s(literal 4 binary64)) x))))) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))) #s(literal 1/2 binary64))) a (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) a))
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) #s(literal 1 binary64))
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) a) #s(literal 1/4 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))) a) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) a #s(literal 1 binary64)))
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) #s(literal 64 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))) #s(literal 4 binary64)) x))) a (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))))) a)) a #s(literal 1 binary64)))
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) x) a) #s(literal 1 binary64)))
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) a) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 4 binary64) x))) a #s(literal 1 binary64)))
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 x x) x)) a) #s(literal 1/48 binary64))) a (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 4 binary64) x))) a #s(literal 1 binary64)))
#s(approx (/ (* x a) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))
#s(approx (* x a) (*.f64 a x))
#s(approx a a)
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) (*.f64 (-.f64 (*.f64 (neg.f64 a) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (neg.f64 x)) a))
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) a) (neg.f64 x)) a))
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))) x))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))))) a) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) a) (neg.f64 x)) a))
#s(approx (/ 1 (exp (neg (* x a)))) (fma.f64 a x #s(literal 1 binary64)))
#s(approx (/ 1 (exp (neg (* x a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (neg.f64 x)) a #s(literal 1 binary64)))
#s(approx (/ 1 (exp (neg (* x a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) a) (neg.f64 x)) a #s(literal 1 binary64)))
#s(approx (exp (neg (* x a))) (fma.f64 (neg.f64 x) a #s(literal 1 binary64)))
#s(approx (exp (neg (* x a))) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) (neg.f64 x)) a #s(literal 1 binary64)))
#s(approx (exp (neg (* x a))) (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 (neg.f64 x)) a #s(literal 1 binary64)))
#s(approx (neg (* x a)) (*.f64 (neg.f64 x) a))
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) x) a)) #s(literal 1/2 binary64))))
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) (sqrt.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) x) a)))))
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) x) a))))
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) (expm1.f64 (neg.f64 (*.f64 (neg.f64 x) a))))
#s(approx (/ 1 (exp (neg (* x a)))) (exp.f64 (neg.f64 (*.f64 (neg.f64 x) a))))
#s(approx (exp (neg (* x a))) (exp.f64 (*.f64 (neg.f64 x) a)))
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1/16 binary64)) x) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1/4 binary64))) x))
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 a a) a)) #s(literal 64 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1/16 binary64)) #s(literal 4 binary64)) a))) x (*.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1/16 binary64)))) x)) x))
#s(approx (- (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) 1) (*.f64 (fma.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 256 binary64)) #s(literal 1/384 binary64)) (*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 a a) a)) #s(literal 64 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1/16 binary64)) #s(literal 4 binary64)) a))) #s(literal 4 binary64)) a (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1/16 binary64)))))) (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 a a) a)) #s(literal 64 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1/16 binary64)) #s(literal 4 binary64)) a))))) (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))) x (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1/4 binary64))) x))
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1/16 binary64)) x) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1/4 binary64))) x #s(literal 1 binary64)))
#s(approx (sqrt (pow (* (exp 2) (exp 2)) (/ (* x a) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) a) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 a a) a)) #s(literal 64 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1/16 binary64)) #s(literal 4 binary64)) a))) x (*.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1/16 binary64)))) x)) x #s(literal 1 binary64)))
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) (*.f64 #s(literal 16 binary64) x) (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1/2 binary64))) x #s(literal 1 binary64)))
#s(approx (pow (* (exp 2) (exp 2)) (/ (* x a) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 a a)) #s(literal 16 binary64) (*.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 a a) a)) (*.f64 #s(literal 64 binary64) x))) x (*.f64 (*.f64 #s(literal 4 binary64) a) #s(literal 1/2 binary64))) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) (*.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) (neg.f64 a)) x))
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 a a) a) #s(literal -1/6 binary64) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) a (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/2 binary64))))) (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) x) (neg.f64 a)) x))
#s(approx (- (/ 1 (exp (neg (* x a)))) 1) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1/6 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal -1/6 binary64) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) a (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/2 binary64)))) a (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/24 binary64)))))) (fma.f64 (*.f64 (*.f64 a a) a) #s(literal -1/6 binary64) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) a (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/2 binary64))))) x) (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) x) (neg.f64 a)) x))
#s(approx (/ 1 (exp (neg (* x a)))) (fma.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) (neg.f64 a)) x #s(literal 1 binary64)))
#s(approx (/ 1 (exp (neg (* x a)))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 a a) a) #s(literal -1/6 binary64) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) a (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/2 binary64))))) (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) x) (neg.f64 a)) x #s(literal 1 binary64)))
#s(approx (exp (neg (* x a))) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) (neg.f64 a)) x #s(literal 1 binary64)))
#s(approx (exp (neg (* 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 (neg.f64 a)) x #s(literal 1 binary64)))

eval21.0ms (1.2%)

Memory
38.7MiB live, 38.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 073 to 786 computations (62.1% saved)

prune13.0ms (0.7%)

Memory
-42.4MiB live, 15.8MiB allocated; 7ms collecting garbage
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New1871188
Fresh000
Picked112
Done088
Total18810198
Accuracy
100.0%
Counts
198 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.1%
(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 x a)))) #s(literal 1 binary64))
49.0%
(-.f64 (sqrt.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
49.0%
(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))) #s(literal 1 binary64))
49.1%
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
20.8%
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
20.8%
(-.f64 #s(approx (exp (* a x)) (-.f64 (*.f64 a x) #s(literal -1 binary64))) #s(literal 1 binary64))
18.3%
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
100.0%
(expm1.f64 (*.f64 x a))
64.0%
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
70.6%
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Compiler

Compiled 178 to 153 computations (14% saved)

regimes20.0ms (1.2%)

Memory
35.4MiB live, 35.4MiB allocated; 0ms collecting garbage
Counts
15 → 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))
(-.f64 #s(approx (exp (* a x)) (-.f64 (*.f64 a x) #s(literal -1 binary64))) #s(literal 1 binary64))
(expm1.f64 (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 x a)))) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 a a) x))) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1 binary64))
#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))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (exp.f64 (*.f64 x a)))
(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 a x))) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x a) #s(literal 2 binary64)))) #s(literal 1 binary64))
Outputs
(expm1.f64 (*.f64 x a))
Calls

5 calls:

4.0ms
x
4.0ms
a
4.0ms
(*.f64 a x)
3.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
3.0ms
(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)

regimes11.0ms (0.6%)

Memory
-28.5MiB live, 17.3MiB allocated; 3ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (-.f64 (*.f64 a x) #s(literal -1 binary64))) #s(literal 1 binary64))
Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
Calls

5 calls:

4.0ms
x
2.0ms
a
2.0ms
(*.f64 a x)
1.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
70.6%1(*.f64 a x)
70.6%1(exp.f64 (*.f64 a x))
70.6%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
70.6%1a
70.6%1x
Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.3%)

Memory
11.8MiB live, 11.8MiB 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
x
1.0ms
a
1.0ms
(*.f64 a x)
1.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
18.3%1a
18.3%1x
18.3%1(*.f64 a x)
18.3%1(exp.f64 (*.f64 a x))
18.3%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
Compiler

Compiled 15 to 17 computations (-13.3% saved)

derivations66.0ms (3.9%)

Memory
-19.8MiB live, 72.3MiB allocated; 7ms collecting garbage
Stop Event
fuel
Compiler

Compiled 15 to 12 computations (20% saved)

preprocess26.0ms (1.5%)

Memory
1.1MiB live, 51.7MiB allocated; 7ms 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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