Metrics for Kahan's exp quotient

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample538.0ms (25.9%)

Memory

-0.0MiB live, 459.9MiB allocated; 75ms collecting garbage

Samples

348.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-div!: 82.0ms (52.2% of total)

ival-expm1: 73.0ms (46.5% of total)

adjust: 2.0ms (1.3% of total)

Bogosity

preprocess42.0ms (2%)

Memory

-1.3MiB live, 44.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	48	20
2	211	20
3	1294	20

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.9%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 10 to 10 computations (0% saved)

series3.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Counts

5 → 14

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)

Outputs
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (exp x) #s(hole binary64 (exp x)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (- (exp x) 1) x) (- (exp x) 1) (exp x) x 1)
1.0ms	x	@	inf	((/ (- (exp x) 1) x) (- (exp x) 1) (exp x) x 1)
0.0ms	x	@	0	((/ (- (exp x) 1) x) (- (exp x) 1) (exp x) x 1)

rewrite249.0ms (12%)

Memory

-7.5MiB live, 249.9MiB allocated; 68ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	185
0	47	185
1	294	185
2	3166	185
0	8909	140

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

19 → 150

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (exp x) #s(hole binary64 (exp x)))

Outputs
(*.f64 (pow.f64 (/.f64 x (expm1.f64 (+.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 x (expm1.f64 (.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) x))
(*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (/.f64 (exp.f64 x) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1 binary64))
(/.f64 (fma.f64 (neg.f64 (exp.f64 x)) x (.f64 (neg.f64 x) #s(literal -1 binary64))) (.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (exp.f64 x) x (.f64 x #s(literal -1 binary64))) (.f64 x x))
(/.f64 (+.f64 x (.f64 (/.f64 x (exp.f64 x)) #s(literal -1 binary64))) (.f64 (/.f64 x (exp.f64 x)) x))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) (neg.f64 x)) (.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) x) (.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (exp.f64 x) (neg.f64 x)) (.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (/.f64 x (exp.f64 x)) #s(literal -1 binary64))) (*.f64 (/.f64 x (exp.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 x (.f64 (/.f64 x (exp.f64 x)) #s(literal 1 binary64))) (.f64 (/.f64 x (exp.f64 x)) x))
(/.f64 (neg.f64 (*.f64 (expm1.f64 x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (exp.f64 x) x) x)) (neg.f64 (.f64 x x)))
(/.f64 (neg.f64 (.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) x)))
(/.f64 (*.f64 (expm1.f64 x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 (exp.f64 x) x) x) (.f64 x x))
(/.f64 (.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) x))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (expm1.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) x))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) (neg.f64 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (expm1.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
(neg.f64 (*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) #s(literal -1 binary64)))
(+.f64 (/.f64 (exp.f64 x) x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (exp.f64 x))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(*.f64 (exp.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))))
(pow.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (+.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) (.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) #s(literal 1 binary64))) (.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))) #s(literal 2 binary64))) (.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))) #s(literal 1 binary64))) (.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (+.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (expm1.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x)))) (fabs.f64 (cosh.f64 x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (exp.f64 x))) (sqrt.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x) #s(literal -1 binary64))
(fma.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (cosh.f64 x) (*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (sinh.f64 x)))
(fma.f64 (cosh.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))) (*.f64 (sinh.f64 x) (neg.f64 (expm1.f64 (neg.f64 x)))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(expm1.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(expm1.f64 x)
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (cosh.f64 x)) (.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (sinh.f64 x)))
(+.f64 (.f64 (cosh.f64 x) (neg.f64 (expm1.f64 (neg.f64 x)))) (.f64 (sinh.f64 x) (neg.f64 (expm1.f64 (neg.f64 x)))))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(*.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x)))) (fabs.f64 (cosh.f64 x)))
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 x))) (sqrt.f64 (neg.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(fabs.f64 (-.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)))
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 x))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(exp.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (exp x) (exp.f64 x))

eval15.0ms (0.7%)

Memory: -4.3MiB live, 40.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 1 138 to 458 computations (59.8% saved)

prune4.0ms (0.2%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	141	5	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	5	147

Accuracy

100.0%

Counts

147 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (expm1.f64 x) x)
▶	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
▶	60.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	51.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	51.6%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 70 to 70 computations (0% saved)

series5.0ms (0.2%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Counts

14 → 23

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)
x
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
(/.f64 x (expm1.f64 x))

Outputs
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (+ 1 (* x (- (* 1/12 x) 1/2)))))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (/ x (- (exp x) 1))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((/ (- (exp x) 1) x) (- (exp x) 1) x (/ (- (exp x) 1) x) 1 (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) 1/2 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (/ 1 (/ x (- (exp x) 1))) (/ x (- (exp x) 1)))
2.0ms	x	@	-inf	((/ (- (exp x) 1) x) (- (exp x) 1) x (/ (- (exp x) 1) x) 1 (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) 1/2 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (/ 1 (/ x (- (exp x) 1))) (/ x (- (exp x) 1)))
1.0ms	x	@	0	((/ (- (exp x) 1) x) (- (exp x) 1) x (/ (- (exp x) 1) x) 1 (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) 1/2 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (/ 1 (/ x (- (exp x) 1))) (/ x (- (exp x) 1)))

Time

Variable

Point

Expression

2.0ms

inf

((/ (- (exp x) 1) x) (- (exp x) 1) x (/ (- (exp x) 1) x) 1 (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) 1/2 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (/ 1 (/ x (- (exp x) 1))) (/ x (- (exp x) 1)))

2.0ms

-inf

((/ (- (exp x) 1) x) (- (exp x) 1) x (/ (- (exp x) 1) x) 1 (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) 1/2 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (/ 1 (/ x (- (exp x) 1))) (/ x (- (exp x) 1)))

1.0ms

((/ (- (exp x) 1) x) (- (exp x) 1) x (/ (- (exp x) 1) x) 1 (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) 1/2 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (/ 1 (/ x (- (exp x) 1))) (/ x (- (exp x) 1)))

rewrite215.0ms (10.3%)

Memory

-20.9MiB live, 358.6MiB allocated; 73ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	338
0	101	318
1	597	306
0	6554	294

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

37 → 534

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(expm1.f64 x)
x
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
(/.f64 x (expm1.f64 x))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (+ 1 (* x (- (* 1/12 x) 1/2)))))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (/ x (- (exp x) 1))))

Outputs
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (expm1.f64 (neg.f64 x)))) (exp.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (expm1.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) x))
(*.f64 (pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))
(*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (/.f64 (exp.f64 x) x))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(*.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64))
(*.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))
(pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 (*.f64 (expm1.f64 x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) x)
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 (*.f64 (expm1.f64 x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (expm1.f64 x) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (neg.f64 x)) (.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (exp.f64 x) x) x) (.f64 x x))
(/.f64 (.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 x x))) (.f64 (neg.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 x) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (.f64 x (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (*.f64 x (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64)) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (neg.f64 x)))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) x))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x))) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 #s(literal 2 binary64) x))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) x))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (expm1.f64 x)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 x) (expm1.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (expm1.f64 x))))
(/.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64))
(/.f64 (expm1.f64 x) (neg.f64 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
(neg.f64 (*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (expm1.f64 x))))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
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(.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))))
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(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) x) (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 x (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/216 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)))
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(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) x) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) x) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x))))
(/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) x) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x))) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) x) #s(literal 1/8 binary64))))
(neg.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(neg.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) x))))
(-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) x)) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) x)))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) x)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/6 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))
#s(literal 1/6 binary64)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (expm1.f64 (neg.f64 x)))) (exp.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (expm1.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) x))
(*.f64 (pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))
(*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (/.f64 (exp.f64 x) x))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(*.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64))
(*.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))
(pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 (*.f64 (expm1.f64 x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) x)
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 (*.f64 (expm1.f64 x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (expm1.f64 x) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (neg.f64 x)) (.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (exp.f64 x) x) x) (.f64 x x))
(/.f64 (.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 x x))) (.f64 (neg.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 x) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (.f64 x (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (*.f64 x (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64)) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) (neg.f64 x)))
(/.f64 (.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) x))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (expm1.f64 x))) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 #s(literal 2 binary64) x))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))) x))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (expm1.f64 x)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 x) (expm1.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (expm1.f64 x))))
(/.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64))
(/.f64 (expm1.f64 x) (neg.f64 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
(neg.f64 (*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (expm1.f64 x))))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (expm1.f64 x))))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (expm1.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (/.f64 x (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 x (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(.f64 (/.f64 x (expm1.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (expm1.f64 x)))
(*.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64)))
(*.f64 x (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(pow.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (expm1.f64 x) x) #s(literal -1 binary64))
(/.f64 (/.f64 x (neg.f64 (expm1.f64 (neg.f64 x)))) (exp.f64 x))
(/.f64 (neg.f64 (neg.f64 x)) (expm1.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (expm1.f64 x)))
(/.f64 (/.f64 (neg.f64 x) (expm1.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (expm1.f64 x) x)))
(/.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))
(/.f64 x (*.f64 (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 x (expm1.f64 x))
(neg.f64 (/.f64 (neg.f64 x) (expm1.f64 x)))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ x (- (exp x) 1)) (/.f64 x (expm1.f64 x)))

eval45.0ms (2.2%)

Memory: 15.0MiB live, 104.7MiB allocated; 11ms collecting garbage
Compiler: Compiled 3 613 to 1 377 computations (61.9% saved)

prune31.0ms (1.5%)

Memory

-22.8MiB live, 29.8MiB allocated; 34ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	479	5	484
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	480	9	489

Accuracy

100.0%

Counts

489 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	53.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
▶	55.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
✓	60.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	51.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	12.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
▶	12.4%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
▶	3.4%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	51.6%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 164 to 164 computations (0% saved)

series8.0ms (0.4%)

Memory

19.0MiB live, 19.0MiB allocated; 0ms collecting garbage

Counts

24 → 33

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
x
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
#s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64))
#s(literal 1/12 binary64)

Outputs
#s(approx (/ 1 (/ x (- (exp x) 1))) #s(hole binary64 1))
#s(approx (/ 1 (/ x (- (exp x) 1))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ 1 (/ x (- (exp x) 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ 1 (/ x (- (exp x) 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (+ 1 (* x (- (* 1/12 x) 1/2)))))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/6 x)))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* 1/12 x) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/12 x) -1/2) #s(hole binary64 (- (* 1/12 x) 1/2)))
#s(approx (/ 1 (/ x (- (exp x) 1))) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (/ x (- (exp x) 1))))
#s(approx (+ (* -1/2 x) 1) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) 1) #s(hole binary64 (* x (- (/ 1 x) 1/2))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 x) -1/2) x) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (+ (* 1/12 x) -1/2) x) 1) #s(hole binary64 (* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 x) -1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (+ 1/12 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/12 x) -1/2) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) -1/2) #s(hole binary64 (* x (- 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* -1/2 x) 1) #s(hole binary64 (* -1 (* x (- 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 x) -1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (* -1 (/ (- 1/2 (/ 1 x)) x))))))
#s(approx (+ (* 1/12 x) -1/2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 x)) 1/12)))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((/ 1 (/ x (- (exp x) 1))) 1 (/ x (- (exp x) 1)) (+ (* -1/2 x) 1) -1/2 x (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (* 1/2 x) 1/2 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* x x) 1/6) (* x x) 1/6 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) (/ 1 (/ x (- (exp x) 1))) (/ x (- (exp x) 1)) (+ (* (+ (* 1/12 x) -1/2) x) 1) (+ (* 1/12 x) -1/2) 1/12)
2.0ms	x	@	inf	((/ 1 (/ x (- (exp x) 1))) 1 (/ x (- (exp x) 1)) (+ (* -1/2 x) 1) -1/2 x (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (* 1/2 x) 1/2 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* x x) 1/6) (* x x) 1/6 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) (/ 1 (/ x (- (exp x) 1))) (/ x (- (exp x) 1)) (+ (* (+ (* 1/12 x) -1/2) x) 1) (+ (* 1/12 x) -1/2) 1/12)
2.0ms	x	@	0	((/ 1 (/ x (- (exp x) 1))) 1 (/ x (- (exp x) 1)) (+ (* -1/2 x) 1) -1/2 x (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (* 1/2 x) 1/2 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* x x) 1/6) (* x x) 1/6 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) (/ 1 (/ x (- (exp x) 1))) (/ x (- (exp x) 1)) (+ (* (+ (* 1/12 x) -1/2) x) 1) (+ (* 1/12 x) -1/2) 1/12)

Time

Variable

Point

Expression

4.0ms

-inf

((/ 1 (/ x (- (exp x) 1))) 1 (/ x (- (exp x) 1)) (+ (* -1/2 x) 1) -1/2 x (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (* 1/2 x) 1/2 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* x x) 1/6) (* x x) 1/6 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) (/ 1 (/ x (- (exp x) 1))) (/ x (- (exp x) 1)) (+ (* (+ (* 1/12 x) -1/2) x) 1) (+ (* 1/12 x) -1/2) 1/12)

2.0ms

inf

((/ 1 (/ x (- (exp x) 1))) 1 (/ x (- (exp x) 1)) (+ (* -1/2 x) 1) -1/2 x (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (* 1/2 x) 1/2 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* x x) 1/6) (* x x) 1/6 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) (/ 1 (/ x (- (exp x) 1))) (/ x (- (exp x) 1)) (+ (* (+ (* 1/12 x) -1/2) x) 1) (+ (* 1/12 x) -1/2) 1/12)

2.0ms

((/ 1 (/ x (- (exp x) 1))) 1 (/ x (- (exp x) 1)) (+ (* -1/2 x) 1) -1/2 x (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (* 1/2 x) 1/2 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* x x) 1/6) (* x x) 1/6 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (+ (* 1/6 x) 1/2) x) (+ (* 1/6 x) 1/2) (/ 1 (/ x (- (exp x) 1))) (/ x (- (exp x) 1)) (+ (* (+ (* 1/12 x) -1/2) x) 1) (+ (* 1/12 x) -1/2) 1/12)

rewrite150.0ms (7.2%)

Memory

7.9MiB live, 238.9MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	642
0	146	589
1	830	576
0	8735	520

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

57 → 579

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
x
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
#s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64))
#s(literal 1/12 binary64)
#s(approx (/ 1 (/ x (- (exp x) 1))) #s(hole binary64 1))
#s(approx (/ 1 (/ x (- (exp x) 1))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ 1 (/ x (- (exp x) 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ 1 (/ x (- (exp x) 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (+ 1 (* x (- (* 1/12 x) 1/2)))))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* 1/6 x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/6 x)))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* 1/12 x) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* 1/12 x) -1/2) #s(hole binary64 (- (* 1/12 x) 1/2)))
#s(approx (/ 1 (/ x (- (exp x) 1))) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (/ x (- (exp x) 1))))
#s(approx (+ (* -1/2 x) 1) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) 1) #s(hole binary64 (* x (- (/ 1 x) 1/2))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 x) -1/2) x) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (+ (* 1/12 x) -1/2) x) 1) #s(hole binary64 (* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 x) -1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (+ 1/12 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/12 x) -1/2) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) -1/2) #s(hole binary64 (* x (- 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* -1/2 x) 1) #s(hole binary64 (* -1 (* x (- 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 x) -1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (* -1 (/ (- 1/2 (/ 1 x)) x))))))
#s(approx (+ (* 1/12 x) -1/2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 x)) 1/12)))))

Outputs
(*.f64 (pow.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))))
(pow.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(/.f64 (neg.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1/2 binary64))
(.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))
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#s(literal -1/2 binary64)
x
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(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) x)) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/24 binary64) x)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/24 binary64) x)))))
(-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/12 binary64) x))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1/12 binary64)))
(-.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 #s(literal 1/12 binary64) x)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) (.f64 #s(literal -1/12 binary64) (neg.f64 x)))
(+.f64 (.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (neg.f64 x) #s(literal -1/12 binary64)))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (.f64 #s(literal 1/12 binary64) x)) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/24 binary64) x)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/24 binary64) x)))))
(+.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(+.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(+.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))
#s(literal 1/12 binary64)
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(/.f64 (neg.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (neg.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) #s(literal -1 binary64)))
#s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (* x x) 1/6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ (* 1/6 x) 1/2) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* 1/12 x) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* 1/12 x) -1/2) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (/ x (- (exp x) 1)) (/.f64 x (expm1.f64 x)))
#s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* -1/2 x) 1) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/12 x) -1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* 1/12 x) -1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x))
#s(approx (+ (* (+ (* 1/12 x) -1/2) x) 1) (.f64 (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/12 binary64)) x) x))
#s(approx (+ (* 1/12 x) -1/2) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* 1/12 x) -1/2) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 x) 1) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/12 x) -1/2) x) 1) (.f64 (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1/12 binary64)) x) x))
#s(approx (+ (* 1/12 x) -1/2) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)))

eval64.0ms (3.1%)

Memory: -13.4MiB live, 125.0MiB allocated; 27ms collecting garbage
Compiler: Compiled 4 252 to 2 171 computations (48.9% saved)

prune10.0ms (0.5%)

Memory

28.5MiB live, 28.5MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	534	2	536
Fresh	0	0	0
Picked	0	5	5
Done	0	4	4
Total	534	11	545

Accuracy

100.0%

Counts

545 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	53.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
✓	55.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
▶	7.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
✓	60.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	51.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
✓	12.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
✓	12.4%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
▶	12.4%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
✓	3.4%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	51.6%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 127 to 127 computations (0% saved)

series4.0ms (0.2%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Counts

12 → 17

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
#s(literal 1 binary64)
#s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)

Outputs
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (+ 1 (* x (- (* 1/12 x) 1/2)))))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* -1/2 x) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (/ x (- (exp x) 1))))
#s(approx (+ (* -1/2 x) 1) #s(hole binary64 (* x (- (/ 1 x) 1/2))))
#s(approx (+ (* -1/2 x) 1) #s(hole binary64 (* -1 (* x (- 1/2 (/ 1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ 1 (/ x (- (exp x) 1))) 1 (/ x (- (exp x) 1)) (+ (* -1/2 x) 1) (* -1/2 x) -1/2)
1.0ms	x	@	inf	((/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ 1 (/ x (- (exp x) 1))) 1 (/ x (- (exp x) 1)) (+ (* -1/2 x) 1) (* -1/2 x) -1/2)
1.0ms	x	@	0	((/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ 1 (/ x (- (exp x) 1))) 1 (/ x (- (exp x) 1)) (+ (* -1/2 x) 1) (* -1/2 x) -1/2)

Time

Variable

Point

Expression

2.0ms

-inf

((/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ 1 (/ x (- (exp x) 1))) 1 (/ x (- (exp x) 1)) (+ (* -1/2 x) 1) (* -1/2 x) -1/2)

1.0ms

inf

((/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ 1 (/ x (- (exp x) 1))) 1 (/ x (- (exp x) 1)) (+ (* -1/2 x) 1) (* -1/2 x) -1/2)

1.0ms

((/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* 1/6 x) x) (* 1/6 x) 1/6 x (/ 1 (/ x (- (exp x) 1))) 1 (/ x (- (exp x) 1)) (+ (* -1/2 x) 1) (* -1/2 x) -1/2)

rewrite177.0ms (8.5%)

Memory

-0.9MiB live, 134.9MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	331
0	87	323
1	568	317
0	6261	261

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

29 → 65

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
#s(literal 1 binary64)
#s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (+ 1 (* x (- (* 1/12 x) 1/2)))))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* -1/2 x) #s(hole binary64 (* -1/2 x)))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (/ x (- (exp x) 1)) #s(hole binary64 (/ x (- (exp x) 1))))
#s(approx (+ (* -1/2 x) 1) #s(hole binary64 (* x (- (/ 1 x) 1/2))))
#s(approx (+ (* -1/2 x) 1) #s(hole binary64 (* -1 (* x (- 1/2 (/ 1 x))))))

Outputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
(.f64 (pow.f64 #s(approx (/ x (- (exp x) 1)) #s(approx (+ ( -1/2 x) 1) (.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ x (- (exp x) 1)) #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ x (- (exp x) 1)) #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)))))
(pow.f64 #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 #s(approx (/ x (- (exp x) 1)) #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))))
(exp.f64 (.f64 (log.f64 #s(approx (/ x (- (exp x) 1)) #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(.f64 (/.f64 #s(approx (/ x (- (exp x) 1)) #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 #s(approx (/ x (- (exp x) 1)) #s(approx (+ ( -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))
#s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (neg.f64 #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal -1 binary64))
(/.f64 #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x)))))
#s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(*.f64 (neg.f64 x) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))
(*.f64 x #s(literal -1/2 binary64))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(neg.f64 (*.f64 #s(literal 1/2 binary64) x))
#s(literal -1/2 binary64)
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* (* 1/6 x) x) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx x x)
#s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* -1/2 x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ x (- (exp x) 1)) (/.f64 x (expm1.f64 x)))
#s(approx (+ (* -1/2 x) 1) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* -1/2 x) 1) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))

eval4.0ms (0.2%)

Memory: 8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 389 to 182 computations (53.2% saved)

prune15.0ms (0.7%)

Memory

-37.3MiB live, 18.1MiB allocated; 6ms collecting garbage

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	0	0
Picked	0	2	2
Done	0	9	9
Total	46	11	57

Accuracy

100.0%

Counts

57 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	53.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
✓	55.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
✓	7.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
✓	60.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	51.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
✓	12.1%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
✓	12.4%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
✓	12.4%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
✓	3.4%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	51.6%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 204 to 187 computations (8.3% saved)

regimes8.0ms (0.4%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (expm1.f64 x) x)
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Outputs
(/.f64 (expm1.f64 x) x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
100.0%	1	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes6.0ms (0.3%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))

Outputs

(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))

#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
65.2%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
65.2%	2	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes10.0ms (0.5%)

Memory

-32.6MiB live, 14.2MiB allocated; 2ms collecting garbage

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))

Outputs

(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))

#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))

Calls

2 calls:

7.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
3.0ms	x

Results

Accuracy	Segments	Branch
64.9%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
64.9%	2	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes5.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))

Outputs

(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))

#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))

#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))

Calls

2 calls:

2.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
64.9%	4	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
64.9%	3	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Counts

6 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))

Outputs

(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))

#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))

#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
64.9%	3	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0.2%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))

Outputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))

Calls

2 calls:

2.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
60.3%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
60.3%	2	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes3.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))

#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))

Outputs
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
51.8%	1	`x`
51.8%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes3.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Accuracy

Total -31.1b remaining (-100.3%)

Threshold costs -31.1b (-100.3%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))

Outputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
51.6%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
51.6%	1	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

bsearch17.0ms (0.8%)

Memory

-22.7MiB live, 24.5MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-464268453.5238716	-1.5447985721216728e-6

Samples

5.0ms

160×

valid

Compiler

Compiled 219 to 237 computations (-8.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-expm1: 2.0ms (77.8% of total)

ival-div!: 1.0ms (38.9% of total)

adjust: 0.0ms (0% of total)

bsearch11.0ms (0.5%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.00048823622332270757	179.7338321227267

Samples

4.0ms

144×

valid

Compiler

Compiled 252 to 268 computations (-6.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-expm1: 1.0ms (47.4% of total)

ival-div!: 1.0ms (47.4% of total)

adjust: 0.0ms (0% of total)

bsearch16.0ms (0.8%)

Memory

-26.0MiB live, 20.9MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.00048823622332270757	179.7338321227267
10.0ms	-464268453.5238716	-1.5447985721216728e-6

Samples

5.0ms

144×

valid

Compiler

Compiled 473 to 509 computations (-7.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-expm1: 1.0ms (44.4% of total)

ival-div!: 1.0ms (44.4% of total)

adjust: 0.0ms (0% of total)

bsearch7.0ms (0.4%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.00048823622332270757	179.7338321227267
1.0ms	-464268453.5238716	-1.5447985721216728e-6

Samples

3.0ms

80×

valid

Compiler

Compiled 464 to 500 computations (-7.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-expm1: 1.0ms (78.8% of total)

adjust: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0031946875426856	6.350116137348726e+75

Compiler

Compiled 8 to 9 computations (-12.5% saved)

derivations296.0ms (14.2%)

Memory

-29.5MiB live, 453.0MiB allocated; 59ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 78 to 63 computations (19.2% saved)

preprocess110.0ms (5.3%)

Memory: 27.4MiB live, 211.1MiB allocated; 27ms collecting garbage
Compiler: Compiled 100 to 80 computations (20% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample538.0ms (25.9%)

preprocess42.0ms (2%)

series3.0ms (0.1%)

rewrite249.0ms (12%)

eval15.0ms (0.7%)

prune4.0ms (0.2%)

series5.0ms (0.2%)

rewrite215.0ms (10.3%)

eval45.0ms (2.2%)

prune31.0ms (1.5%)

series8.0ms (0.4%)

rewrite150.0ms (7.2%)

eval64.0ms (3.1%)

prune10.0ms (0.5%)

series4.0ms (0.2%)

rewrite177.0ms (8.5%)

eval4.0ms (0.2%)

prune15.0ms (0.7%)

regimes8.0ms (0.4%)

regimes6.0ms (0.3%)

regimes10.0ms (0.5%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

regimes4.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch17.0ms (0.8%)

bsearch11.0ms (0.5%)

bsearch16.0ms (0.8%)

bsearch7.0ms (0.4%)

bsearch0.0ms (0%)

derivations296.0ms (14.2%)

preprocess110.0ms (5.3%)

end0.0ms (0%)

Profiling