Metrics for Kahan's exp quotient

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

2.7MiB live, 2.7MiB 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)

sample1.2s (37.6%)

Memory

-8.5MiB live, 874.0MiB allocated; 214ms collecting garbage

Samples

986.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-expm1: 93.0ms (50.2% of total)

ival-div!: 91.0ms (49.1% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

preprocess39.0ms (1.3%)

Memory

-3.9MiB live, 48.4MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	48	20
2	204	20
3	1096	20

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.7%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 10 to 10 computations (0% saved)

series3.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB 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)

rewrite275.0ms (8.9%)

Memory

19.2MiB live, 262.5MiB allocated; 82ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	185
0	47	185
1	264	185
2	2288	185
0	8052	140
1	33245	140

Stop Event

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

Counts

19 → 173

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 (/.f64 (expm1.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) 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 (neg.f64 x) (neg.f64 (expm1.f64 x))) #s(literal -1 binary64))
(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 (+.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) x)) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 (exp.f64 x) x) (neg.f64 (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 x x)) (-.f64 (.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 (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)) (/.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (/.f64 x #s(literal 1 binary64))))
(/.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 (exp.f64 x) (/.f64 x #s(literal 1 binary64))) x) (.f64 x (/.f64 x #s(literal 1 binary64))))
(/.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 (.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) (.f64 (/.f64 x (exp.f64 x)) #s(literal 1 binary64))) (*.f64 (/.f64 x (exp.f64 x)) (/.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 x (.f64 (/.f64 x (exp.f64 x)) #s(literal 1 binary64))) (.f64 (/.f64 x (exp.f64 x)) x))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (expm1.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (.f64 (exp.f64 x) x) x)) (.f64 #s(literal 2 binary64) (.f64 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) (neg.f64 (neg.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (expm1.f64 x)) (.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (*.f64 (expm1.f64 x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (.f64 (exp.f64 x) x) x)) (neg.f64 (.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 x (expm1.f64 x)))))
(/.f64 (*.f64 (expm1.f64 x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (-.f64 (exp.f64 x) #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))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (exp.f64 x) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (exp.f64 x) x) x) (.f64 x x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 x) (neg.f64 (expm1.f64 x)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (expm1.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 x) (neg.f64 (expm1.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (expm1.f64 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 (neg.f64 x) (neg.f64 (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))
(fma.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (expm1.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (neg.f64 (expm1.f64 x)))))
(fma.f64 (/.f64 (expm1.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64))))
(fma.f64 (/.f64 (expm1.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) (/.f64 x (expm1.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) (/.f64 (exp.f64 x) (neg.f64 (neg.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) (/.f64 (exp.f64 x) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) (neg.f64 (neg.f64 x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (/.f64 (exp.f64 x) (neg.f64 (neg.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (/.f64 (exp.f64 x) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x) (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (neg.f64 (expm1.f64 x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x) (/.f64 #s(literal 0 binary64) (/.f64 x (expm1.f64 x))))
(fma.f64 (/.f64 (exp.f64 x) x) #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (exp.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (neg.f64 (expm1.f64 x)))))
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64))))
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 0 binary64) (/.f64 x (expm1.f64 x))))
(fma.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (neg.f64 (expm1.f64 x)))))
(fma.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64))))
(fma.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 x (expm1.f64 x))))
(fma.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (neg.f64 (expm1.f64 x)))))
(fma.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64))))
(fma.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) (/.f64 x (expm1.f64 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))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) (neg.f64 (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x) (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (neg.f64 (expm1.f64 x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x) (/.f64 #s(literal 0 binary64) (/.f64 x (expm1.f64 x))))
(-.f64 (/.f64 (.f64 (exp.f64 x) x) (.f64 x x)) (/.f64 x (*.f64 x x)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 x)) (neg.f64 x)) (/.f64 (sinh.f64 x) (neg.f64 x)))
(-.f64 (/.f64 (exp.f64 x) (neg.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) (neg.f64 x)))
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (cosh.f64 x) (neg.f64 (neg.f64 x))) (/.f64 (+.f64 (sinh.f64 x) #s(literal -1 binary64)) (neg.f64 (neg.f64 x))))
(+.f64 (/.f64 (cosh.f64 x) (neg.f64 (neg.f64 x))) (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (neg.f64 (neg.f64 x))))
(+.f64 (/.f64 (exp.f64 x) (neg.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) (neg.f64 (neg.f64 x))))
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 x) x))
(+.f64 (/.f64 (cosh.f64 x) x) (/.f64 (+.f64 (sinh.f64 x) #s(literal -1 binary64)) x))
(+.f64 (/.f64 (cosh.f64 x) x) (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) x))
(+.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 (/.f64 (expm1.f64 x) x) (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (neg.f64 (expm1.f64 x)))))
(+.f64 (/.f64 (expm1.f64 x) x) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64))))
(+.f64 (/.f64 (expm1.f64 x) x) (/.f64 #s(literal 0 binary64) (/.f64 x (expm1.f64 x))))
(/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal -1 binary64) (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 (sinh.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (+.f64 (sinh.f64 x) #s(literal -1 binary64)) (+.f64 (sinh.f64 x) #s(literal -1 binary64))) (.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) (.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))))
(/.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))))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64))
(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 #s(literal 0 binary64)) #s(literal 0 binary64)))
(expm1.f64 (+.f64 #s(literal 0 binary64) (+.f64 x #s(literal 0 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 (+.f64 #s(literal 0 binary64) x))
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.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 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.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 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 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 (+.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) (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 #s(literal 0 binary64)) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (+.f64 x #s(literal 0 binary64))))
(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 (+.f64 #s(literal 0 binary64) x))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 x)
(+.f64 (cosh.f64 (+.f64 x #s(literal 0 binary64))) (sinh.f64 (+.f64 x #s(literal 0 binary64))))
(+.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))

eval35.0ms (1.1%)

Memory: -20.1MiB live, 25.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 095 to 474 computations (56.7% saved)

prune5.0ms (0.2%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	164	5	169
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	165	5	170

Accuracy

100.0%

Counts

170 → 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)))
▶	64.8%	#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)))
▶	52.2%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	52.1%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 70 to 70 computations (0% saved)

series5.0ms (0.2%)

Memory

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

Counts

14 → 23

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
#s(literal 1 binary64)
(/.f64 x (expm1.f64 x))
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)))
(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 (expm1.f64 x) x)

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 (- (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 (/ 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 (- (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))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

((/ 1 (/ x (- (exp x) 1))) 1 (/ x (- (exp x) 1)) x (- (exp x) 1) (/ (- (exp x) 1) x) (/ (- (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 (/ (- (exp x) 1) x))

2.0ms

-inf

((/ 1 (/ x (- (exp x) 1))) 1 (/ x (- (exp x) 1)) x (- (exp x) 1) (/ (- (exp x) 1) x) (/ (- (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 (/ (- (exp x) 1) x))

1.0ms

((/ 1 (/ x (- (exp x) 1))) 1 (/ x (- (exp x) 1)) x (- (exp x) 1) (/ (- (exp x) 1) x) (/ (- (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 (/ (- (exp x) 1) x))

rewrite192.0ms (6.2%)

Memory

7.9MiB live, 151.8MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	347
0	100	325
1	539	311
2	4335	305
0	8198	293
1	26204	293

Stop Event

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

Counts

37 → 284

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 x)))
#s(literal 1 binary64)
(/.f64 x (expm1.f64 x))
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)))
(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 (expm1.f64 x) x)
#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 (- (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 (/ 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 (- (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))))))

Outputs
(.f64 (.f64 (expm1.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(*.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 (/.f64 (neg.f64 x) (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (expm1.f64 x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (expm1.f64 x) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) x)
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (expm1.f64 x) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (/.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 (.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) (+.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) (/.f64 x #s(literal 1 binary64))) x) (.f64 x (/.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 x) x) x) (.f64 x x))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 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 -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 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 x) (neg.f64 (neg.f64 x)))
(/.f64 (expm1.f64 x) (/.f64 x #s(literal 1 binary64)))
(/.f64 (expm1.f64 x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) (expm1.f64 x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.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 (/.f64 #s(literal 1 binary64) x) (neg.f64 (expm1.f64 x))))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (expm1.f64 x))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) 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))
(fabs.f64 (/.f64 (expm1.f64 x) x))
(+.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))
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(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)))
(neg.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))
(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 #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 #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 (expm1.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(*.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 (/.f64 (neg.f64 x) (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x (expm1.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (expm1.f64 x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (expm1.f64 x) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) x)
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (expm1.f64 x) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 2 binary64)) (/.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 (.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) (+.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) (/.f64 x #s(literal 1 binary64))) x) (.f64 x (/.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 x) x) x) (.f64 x x))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 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 -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 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 x) (neg.f64 (neg.f64 x)))
(/.f64 (expm1.f64 x) (/.f64 x #s(literal 1 binary64)))
(/.f64 (expm1.f64 x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) (expm1.f64 x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x (expm1.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.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 (/.f64 #s(literal 1 binary64) x) (neg.f64 (expm1.f64 x))))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (expm1.f64 x))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) 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))
(fabs.f64 (/.f64 (expm1.f64 x) x))
(+.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))
#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 (/ 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 x 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 (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (/ x (- (exp x) 1)) (/.f64 x (expm1.f64 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)))

eval36.0ms (1.2%)

Memory: -10.0MiB live, 35.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 376 to 669 computations (51.4% saved)

prune7.0ms (0.2%)

Memory

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

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	232	4	236
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	232	9	241

Accuracy

100.0%

Counts

241 → 9

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)))
▶	55.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
✓	64.8%	#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)))
✓	52.2%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	16.2%	#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)))
▶	16.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
▶	3.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	52.1%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 90 to 90 computations (0% saved)

series6.0ms (0.2%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Counts

19 → 24

Calls

Call 1

Inputs
#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)
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))))
#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 #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)

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 (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 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 (/ 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 (+ (* 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 (/ 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 (* -1 (* x (- 1/2 (/ 1 x))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

rewrite203.0ms (6.6%)

Memory

7.7MiB live, 195.2MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	456
0	109	436
1	564	428
2	4420	423
0	8320	370
1	27982	370

Stop Event

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

Counts

43 → 271

Calls

Call 1

Inputs
#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)
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))))
#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 #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)
#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 (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 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 (/ 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 (+ (* 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 (/ 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 (* -1 (* x (- 1/2 (/ 1 x))))))

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

eval33.0ms (1.1%)

Memory: -34.0MiB live, 61.1MiB allocated; 19ms collecting garbage
Compiler: Compiled 1 710 to 923 computations (46% saved)

prune7.0ms (0.2%)

Memory

20.4MiB live, 20.4MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	246	2	248
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	246	11	257

Accuracy

100.0%

Counts

257 → 11

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)))
✓	55.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
▶	6.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
✓	64.8%	#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)))
✓	52.2%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
✓	16.2%	#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)))
✓	16.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
▶	16.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
✓	3.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	52.1%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 120 to 120 computations (0% saved)

series4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB 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)

rewrite254.0ms (8.2%)

Memory

-0.3MiB live, 185.8MiB allocated; 88ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	331
0	87	323
1	506	323
2	4084	317
0	8290	261
1	27630	261

Stop Event

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

Counts

29 → 64

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

eval5.0ms (0.1%)

Memory: 12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 404 to 175 computations (56.7% saved)

prune19.0ms (0.6%)

Memory

-34.1MiB live, 12.3MiB allocated; 8ms collecting garbage

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	2	2
Done	0	9	9
Total	47	11	58

Accuracy

100.0%

Counts

58 → 11

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)))
✓	55.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
✓	6.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (exp x) 1)) #s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))))
✓	64.8%	#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)))
✓	52.2%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
✓	16.2%	#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)))
✓	16.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
✓	16.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
✓	3.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	52.1%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 189 to 175 computations (7.4% saved)

regimes8.0ms (0.2%)

Memory

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

Counts

12 → 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) (/.f64 x (expm1.f64 x)))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 x (expm1.f64 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 (0.2%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Counts

10 → 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)

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

Calls

2 calls:

3.0ms	x
2.0ms	(/.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 (0.2%)

Memory

9.6MiB live, 9.6MiB 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
68.4%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
68.4%	2	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes37.0ms (1.2%)

Memory

-34.4MiB live, 12.4MiB allocated; 4ms 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:

35.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
68.2%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
68.2%	2	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes5.0ms (0.2%)

Memory

12.1MiB live, 12.1MiB 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
67.6%	3	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
68.2%	3	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB 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
68.2%	3	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0.1%)

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
64.8%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
64.8%	2	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes3.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB 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
52.2%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
52.2%	1	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes22.0ms (0.7%)

Memory

-41.8MiB live, 5.3MiB allocated; 2ms collecting garbage

Accuracy

Total -31.3b remaining (-102.2%)

Threshold costs -31.3b (-102.2%)

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:

21.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
52.1%	1	`x`
52.1%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`

Compiler

Compiled 6 to 6 computations (0% saved)

bsearch2.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	-130582.40803380658	-1.358049929484335e-22

Samples

1.0ms

16×

valid

Compiler

Compiled 30 to 30 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0% of total)

ival-expm1: 0.0ms (0% of total)

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

bsearch11.0ms (0.4%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.04292280073766953	7529030.723780837

Samples

5.0ms

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 (44.5% of total)

ival-div!: 1.0ms (44.5% of total)

adjust: 0.0ms (0% of total)

bsearch16.0ms (0.5%)

Memory

22.5MiB live, 22.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.04292280073766953	7529030.723780837
11.0ms	-130582.40803380658	-1.358049929484335e-22

Samples

7.0ms

208×

valid

Compiler

Compiled 496 to 534 computations (-7.7% saved)

Precisions

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

ival-expm1: 2.0ms (60.5% of total)

ival-div!: 1.0ms (30.2% of total)

adjust: 0.0ms (0% of total)

bsearch66.0ms (2.1%)

Memory

-43.1MiB live, 11.2MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
65.0ms	0.04292280073766953	7529030.723780837
1.0ms	-130582.40803380658	-1.358049929484335e-22

Samples

2.0ms

64×

valid

Compiler

Compiled 487 to 525 computations (-7.8% saved)

Precisions

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

ival-expm1: 1.0ms (89.3% of total)

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.04292280073766953	7529030.723780837

Compiler

Compiled 216 to 232 computations (-7.4% saved)

derivations472.0ms (15.3%)

Memory

18.1MiB live, 478.5MiB allocated; 72ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 78 to 60 computations (23.1% saved)

preprocess139.0ms (4.5%)

Memory: 15.6MiB live, 187.2MiB allocated; 130ms collecting garbage
Compiler: Compiled 100 to 77 computations (23% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.2s (37.6%)

preprocess39.0ms (1.3%)

series3.0ms (0.1%)

rewrite275.0ms (8.9%)

eval35.0ms (1.1%)

prune5.0ms (0.2%)

series5.0ms (0.2%)

rewrite192.0ms (6.2%)

eval36.0ms (1.2%)

prune7.0ms (0.2%)

series6.0ms (0.2%)

rewrite203.0ms (6.6%)

eval33.0ms (1.1%)

prune7.0ms (0.2%)

series4.0ms (0.1%)

rewrite254.0ms (8.2%)

eval5.0ms (0.1%)

prune19.0ms (0.6%)

regimes8.0ms (0.2%)

regimes6.0ms (0.2%)

regimes6.0ms (0.2%)

regimes37.0ms (1.2%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes22.0ms (0.7%)

bsearch2.0ms (0.1%)

bsearch11.0ms (0.4%)

bsearch16.0ms (0.5%)

bsearch66.0ms (2.1%)

bsearch1.0ms (0%)

derivations472.0ms (15.3%)

preprocess139.0ms (4.5%)

end0.0ms (0%)

Profiling