Metrics for Kahan's exp quotient

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

2.4MiB live, 2.4MiB 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)

sample611.0ms (12%)

Memory

-19.4MiB live, 854.5MiB allocated; 313ms collecting garbage

Samples

406.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 266.0ms

ival-expm1: 194.0ms (72.9% of total)

ival-div!: 71.0ms (26.7% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess68.0ms (1.3%)

Memory

-21.1MiB live, 25.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	36	21
2	123	21
3	477	21
4	6645	21

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.3%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 10 to 10 computations (0% saved)

series3.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Counts

5 → 16

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))
#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 x #s(hole binary64 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)

rewrite654.0ms (12.8%)

Memory

73.8MiB live, 512.5MiB allocated; 173ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	192
0	49	192
1	130	192
2	358	192
3	1285	192
4	7677	192
0	8046	192
0	22681	147

Stop Event

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

Counts

21 → 635

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))
#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 x #s(hole binary64 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) (.f64 #s(literal -2 binary64) x)) #s(literal -2 binary64))
(*.f64 (/.f64 (expm1.f64 x) (+.f64 x x)) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (.f64 (expm1.f64 x) x) (fabs.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (expm1.f64 x) x))
(*.f64 (/.f64 x (fabs.f64 x)) (/.f64 (expm1.f64 x) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (expm1.f64 x)))
(.f64 #s(literal -2 binary64) (/.f64 (expm1.f64 x) (.f64 #s(literal -2 binary64) x)))
(*.f64 (/.f64 (neg.f64 (expm1.f64 x)) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) x))
(*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (+.f64 x x)) (/.f64 (cosh.f64 x) (+.f64 x x))))
(*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (cosh.f64 x) (+.f64 x x)) (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (+.f64 x x))))
(*.f64 #s(literal 2 binary64) (/.f64 (expm1.f64 x) (+.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 x))
(*.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))
(.f64 x (/.f64 (expm1.f64 x) (.f64 x x)))
(/.f64 (/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) x (*.f64 (neg.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (neg.f64 (fabs.f64 x))) (fabs.f64 x))
(/.f64 (/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) x (*.f64 (neg.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(/.f64 (/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) x (.f64 (neg.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (.f64 x x))
(/.f64 (/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) x (*.f64 (neg.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (neg.f64 x)) x)
(/.f64 (/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) x (.f64 (neg.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) x (*.f64 (neg.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) x) (neg.f64 x))
(/.f64 (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) x (.f64 (+.f64 x x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (+.f64 x x)) x)
(/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (expm1.f64 x) x)) (.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (+.f64 x x) (expm1.f64 x)) x) (+.f64 x x))
(/.f64 (/.f64 (.f64 (neg.f64 x) (.f64 (expm1.f64 x) x)) (*.f64 x x)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 (exp.f64 x) x) (+.f64 x x)) (.f64 (.f64 x x) #s(literal 2 binary64))) (*.f64 x x)) (+.f64 x x))
(/.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) x) (fabs.f64 x)) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(/.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (-.f64 (.f64 (exp.f64 x) x) (fabs.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) x) (fabs.f64 x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 (.f64 (exp.f64 x) x) (fabs.f64 x)) #s(literal 1 binary64)) (.f64 x x))
(/.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) x) (fabs.f64 x)) x) x)
(/.f64 (/.f64 (.f64 x (.f64 (expm1.f64 x) x)) (*.f64 x (fabs.f64 x))) (fabs.f64 x))
(/.f64 (/.f64 (.f64 x (.f64 (expm1.f64 x) x)) (*.f64 (neg.f64 x) x)) (neg.f64 x))
(/.f64 (/.f64 (.f64 x (.f64 (expm1.f64 x) x)) (fabs.f64 x)) (*.f64 (fabs.f64 x) x))
(/.f64 (/.f64 (.f64 x (.f64 (expm1.f64 x) x)) (*.f64 x x)) x)
(/.f64 (/.f64 (.f64 x (.f64 (expm1.f64 x) x)) (neg.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (.f64 x (.f64 (expm1.f64 x) x)) #s(literal 1 binary64)) (.f64 (.f64 x x) x))
(/.f64 (/.f64 (.f64 x (.f64 (expm1.f64 x) x)) x) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (+.f64 x x) (neg.f64 (expm1.f64 x))) (neg.f64 x)) (+.f64 x x))
(/.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 x x) #s(literal -8 binary64))) #s(literal 4 binary64))
(/.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 x)) (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) x))
(/.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 x)) (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 (+.f64 x x) #s(literal -8 binary64))) #s(literal 4 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) x) (neg.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) x))
(/.f64 (/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) x) (neg.f64 x)) #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) (+.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64)) x)
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) (+.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 x x))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) (+.f64 x x)) #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (expm1.f64 x) x) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(/.f64 (/.f64 (.f64 (expm1.f64 x) x) #s(literal -1 binary64)) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (neg.f64 (expm1.f64 x)) (/.f64 (+.f64 x x) #s(literal -8 binary64))) #s(literal 4 binary64))
(/.f64 (/.f64 (neg.f64 (expm1.f64 x)) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 x) (expm1.f64 x)) (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(/.f64 (/.f64 (.f64 (neg.f64 x) (expm1.f64 x)) #s(literal 1 binary64)) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (expm1.f64 x) x) (/.f64 (expm1.f64 x) x)) #s(literal 0 binary64)) (/.f64 (expm1.f64 x) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (/.f64 (expm1.f64 x) x) (/.f64 (expm1.f64 x) x) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (expm1.f64 x) x) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (fma.f64 (cosh.f64 x) (neg.f64 x) (.f64 (neg.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))) (.f64 x x))
(/.f64 (neg.f64 (/.f64 (*.f64 (expm1.f64 x) x) (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (cosh.f64 x)) x (.f64 (neg.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))) (.f64 x x))
(/.f64 (neg.f64 (fma.f64 (/.f64 (cosh.f64 x) x) x (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) x (.f64 (+.f64 x x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))))) (neg.f64 (*.f64 (+.f64 x x) x)))
(/.f64 (neg.f64 (.f64 (.f64 x x) (.f64 (expm1.f64 x) x))) (neg.f64 (.f64 (.f64 (.f64 x x) x) x)))
(/.f64 (neg.f64 (.f64 (+.f64 x x) (expm1.f64 x))) (neg.f64 (.f64 x (+.f64 x x))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 (expm1.f64 x) x))) (.f64 (.f64 x x) x))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (exp.f64 x) x) (+.f64 x x)) (.f64 (.f64 x x) #s(literal 2 binary64)))) (neg.f64 (.f64 (.f64 x x) (+.f64 x x))))
(/.f64 (neg.f64 (-.f64 (.f64 (exp.f64 x) x) (fabs.f64 x))) (.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (.f64 x (.f64 (expm1.f64 x) x))) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (neg.f64 (.f64 (+.f64 x x) (neg.f64 (expm1.f64 x)))) (neg.f64 (.f64 (neg.f64 x) (+.f64 x x))))
(/.f64 (neg.f64 (-.f64 (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) (neg.f64 x)) #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) x) (+.f64 x x)) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) x))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (expm1.f64 x) x) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (expm1.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) x))
(/.f64 (fma.f64 (cosh.f64 x) (neg.f64 x) (.f64 (neg.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) x (.f64 (neg.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (/.f64 (cosh.f64 x) x) x (-.f64 (sinh.f64 x) #s(literal 1 binary64))) x)
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) x (.f64 (+.f64 x x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (*.f64 (+.f64 x x) x))
(/.f64 (.f64 (.f64 x x) (.f64 (expm1.f64 x) x)) (.f64 (.f64 (.f64 x x) x) x))
(/.f64 (.f64 (+.f64 x x) (expm1.f64 x)) (.f64 x (+.f64 x x)))
(/.f64 (.f64 (neg.f64 x) (.f64 (expm1.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 x) x) (+.f64 x x)) (.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 (.f64 x x) (+.f64 x x)))
(/.f64 (-.f64 (.f64 (exp.f64 x) x) (fabs.f64 x)) (.f64 x x))
(/.f64 (.f64 x (.f64 (expm1.f64 x) x)) (.f64 (.f64 x x) x))
(/.f64 (.f64 (+.f64 x x) (neg.f64 (expm1.f64 x))) (.f64 (neg.f64 x) (+.f64 x x)))
(/.f64 (-.f64 (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) (+.f64 x x)) #s(literal 2 binary64)) (+.f64 x x))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) x) #s(literal 1 binary64)) x)
(/.f64 (.f64 (neg.f64 x) (expm1.f64 x)) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (neg.f64 (expm1.f64 x)) x) #s(literal -1 binary64))
(/.f64 (.f64 (expm1.f64 x) x) (.f64 x x))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (expm1.f64 x) x) #s(literal 1 binary64))
(/.f64 (expm1.f64 x) x)
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x))
(fma.f64 (/.f64 (expm1.f64 x) (*.f64 #s(literal -2 binary64) x)) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (+.f64 x x)) #s(literal 2 binary64) (/.f64 (cosh.f64 x) x))
(fma.f64 (/.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) x)) #s(literal -2 binary64) (/.f64 (cosh.f64 x) x))
(fma.f64 (/.f64 (/.f64 (sinh.f64 x) x) #s(literal -2 binary64)) #s(literal -2 binary64) (neg.f64 (/.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) (neg.f64 x))))
(fma.f64 (/.f64 (/.f64 (sinh.f64 x) x) #s(literal -2 binary64)) #s(literal -2 binary64) (/.f64 (-.f64 (cosh.f64 x) #s(literal 1 binary64)) x))
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(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (sinh.f64 x) #s(literal 1 binary64) (cosh.f64 x))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (sinh.f64 x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sinh.f64 x) (cosh.f64 x))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (sinh.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 0 binary64))
(sqrt.f64 (exp.f64 (+.f64 x x)))
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (+.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(-.f64 (+.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)))
(-.f64 (+.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 4 binary64)))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 0 binary64)))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (cosh.f64 x)))
(-.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (E.f64)) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal 1 binary64)))
(exp.f64 x)
(+.f64 (-.f64 (+.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(+.f64 (+.f64 (sinh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 x)) (.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(+.f64 (/.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 4 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 4 binary64) (sinh.f64 x)) #s(literal 4 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (sinh.f64 x)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 #s(literal 0 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal 0 binary64))
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) #s(literal 1 binary64))
#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 x x)
#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))

eval66.0ms (1.3%)

Memory: 20.0MiB live, 146.0MiB allocated; 28ms collecting garbage
Compiler: Compiled 5 064 to 1 819 computations (64.1% saved)

prune60.0ms (1.2%)

Memory

-34.4MiB live, 44.8MiB allocated; 56ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	624	7	631
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	625	7	632

Accuracy

100.0%

Counts

632 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.6%	(/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (/.f64 (expm1.f64 x) x) (/.f64 (expm1.f64 x) x) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (expm1.f64 x) x) #s(literal 0 binary64)))))
▶	5.3%	(/.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
▶	3.2%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
▶	100.0%	(/.f64 (expm1.f64 x) x)
	58.9%	#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)))
▶	46.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	46.2%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 122 to 110 computations (9.8% saved)

series3.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Counts

16 → 24

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (- (exp x) 1) x) (- (exp x) 1) x (/ (- (exp x) 1) x) 1 (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) 1/2 (/ (- (exp x) 1) x) (- (exp x) 1) (exp x) (/ (- (exp x) 1) x) (- (exp x) 1) (exp x) (- x -1) -1)
1.0ms	x	@	inf	((/ (- (exp x) 1) x) (- (exp x) 1) x (/ (- (exp x) 1) x) 1 (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) 1/2 (/ (- (exp x) 1) x) (- (exp x) 1) (exp x) (/ (- (exp x) 1) x) (- (exp x) 1) (exp x) (- x -1) -1)
0.0ms	x	@	0	((/ (- (exp x) 1) x) (- (exp x) 1) x (/ (- (exp x) 1) x) 1 (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) 1/2 (/ (- (exp x) 1) x) (- (exp x) 1) (exp x) (/ (- (exp x) 1) x) (- (exp x) 1) (exp x) (- x -1) -1)

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

0.0ms

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

rewrite277.0ms (5.4%)

Memory

18.4MiB live, 327.9MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	292
0	76	281
1	181	281
2	465	281
3	1960	281
0	8200	267

Stop Event

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

Counts

40 → 529

Calls

Call 1

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

Outputs
(*.f64 (/.f64 x (fabs.f64 x)) (/.f64 (expm1.f64 x) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (expm1.f64 (-.f64 x #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 x) (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) x))
(.f64 x (/.f64 (expm1.f64 x) (.f64 x x)))
(/.f64 (+.f64 (/.f64 (cosh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) x)
(/.f64 (-.f64 (fma.f64 (cosh.f64 x) x (.f64 x (sinh.f64 x))) x) (.f64 x x))
(/.f64 (fma.f64 (/.f64 (cosh.f64 x) #s(literal 1 binary64)) x (.f64 x (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (.f64 x x))
(/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) x (.f64 (neg.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (/.f64 (cosh.f64 x) x) x (*.f64 #s(literal 1 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) x)
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) x (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) x) x))
(/.f64 (fma.f64 (cosh.f64 x) x (.f64 x (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) (exp.f64 x)) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (neg.f64 x) x) #s(literal 2 binary64))) (.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) (exp.f64 x)) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (neg.f64 x))) (.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) (exp.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) (exp.f64 x)) (neg.f64 x)) (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))) (.f64 (.f64 (neg.f64 x) x) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) (exp.f64 x)) x) (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64))) (.f64 (.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) (exp.f64 x)) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) x)) (.f64 (.f64 (neg.f64 x) x) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 x) x) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 x) x) (.f64 (neg.f64 x) x)) (.f64 (.f64 x x) (neg.f64 x))) (.f64 (.f64 x x) (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 x) x) (neg.f64 x)) (.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (.f64 x x) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 x) x) x) (.f64 x x)) (.f64 (*.f64 x x) x))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 x) x) (.f64 x x)) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (-.f64 (.f64 (exp.f64 (-.f64 x #s(literal 0 binary64))) (.f64 #s(literal 2 binary64) x)) (.f64 x #s(literal 2 binary64))) (.f64 x (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (.f64 (exp.f64 (-.f64 x #s(literal 0 binary64))) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 x) x)) (.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 x #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (.f64 (exp.f64 (-.f64 x #s(literal 0 binary64))) (neg.f64 x)) (neg.f64 x)) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (exp.f64 (-.f64 x #s(literal 0 binary64))) x) x) (.f64 x x))
(/.f64 (-.f64 (.f64 (exp.f64 (-.f64 x #s(literal 0 binary64))) (.f64 x x)) (.f64 x x)) (.f64 (*.f64 x x) x))
(/.f64 (-.f64 (.f64 (fma.f64 (cosh.f64 x) x (.f64 x (sinh.f64 x))) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (.f64 (fma.f64 (cosh.f64 x) x (.f64 x (sinh.f64 x))) (.f64 (neg.f64 x) x)) (.f64 (.f64 x x) (neg.f64 x))) (.f64 (.f64 x x) (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (fma.f64 (cosh.f64 x) x (.f64 x (sinh.f64 x))) #s(literal 1 binary64)) x) (*.f64 x x))
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(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 x #s(literal 2 binary64) (.f64 x (.f64 #s(literal 2 binary64) x))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 x (.f64 (neg.f64 x) x))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 x x (.f64 (.f64 x x) x)) (*.f64 x x))
(/.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) (neg.f64 x) (.f64 #s(literal 2 binary64) (neg.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) x (.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) (neg.f64 x) (.f64 #s(literal 2 binary64) (neg.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 (.f64 (neg.f64 x) x) #s(literal -2 binary64) (.f64 (neg.f64 x) #s(literal -2 binary64))) (*.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 (neg.f64 x) x) #s(literal 2 binary64) (.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (neg.f64 x) x) (neg.f64 x) (.f64 x x)) (*.f64 x x))
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 (fma.f64 (.f64 (neg.f64 x) x) x (.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) (.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x x) (neg.f64 x) (.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (.f64 x x) x (.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal -4 binary64) (.f64 #s(literal -2 binary64) (.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal -4 binary64) (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 x)))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (.f64 (neg.f64 x) x))) (.f64 #s(literal -2 binary64) x))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (neg.f64 x)) (.f64 #s(literal -2 binary64) (.f64 x x))) (.f64 #s(literal -2 binary64) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) x))) (.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) (neg.f64 x)))) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) (.f64 (neg.f64 x) x))) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 x) (.f64 x x))) (.f64 x x))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 2 binary64) (neg.f64 x)))) (.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 x (.f64 (neg.f64 x) x))) (.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (.f64 #s(literal 2 binary64) (neg.f64 x))) (.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 2 binary64)) (neg.f64 x)) (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 #s(literal 2 binary64) (neg.f64 x))) (.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (neg.f64 x)) (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 2 binary64)) (.f64 (neg.f64 x) #s(literal -2 binary64))) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -2 binary64)) (.f64 (neg.f64 x) #s(literal 2 binary64))) (.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) x) (.f64 x x)) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)) x) (neg.f64 x))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (neg.f64 x)) (.f64 (neg.f64 x) x)) (.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 x #s(literal -2 binary64))) (.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) (.f64 x #s(literal 2 binary64))) (.f64 x #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) (neg.f64 x)) (.f64 x x)) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 x x) x)) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (.f64 (neg.f64 x) x)) (.f64 x x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 x x)) (neg.f64 x))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 x (*.f64 x x)) x)
(/.f64 (neg.f64 (fma.f64 x x x)) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x x x) x)
(neg.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (neg.f64 x)))
(neg.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(neg.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) x) x)))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x #s(literal 0 binary64))
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (E.f64))) (E.f64)))
(-.f64 x #s(literal -1 binary64))
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (neg.f64 x) x)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#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 x x)
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#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 (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- x -1) x)
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))

eval60.0ms (1.2%)

Memory: -5.9MiB live, 132.7MiB allocated; 34ms collecting garbage
Compiler: Compiled 4 127 to 1 681 computations (59.3% saved)

prune14.0ms (0.3%)

Memory

-7.1MiB live, 38.8MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	506	3	509
Fresh	1	1	2
Picked	0	5	5
Done	0	0	0
Total	507	9	516

Accuracy

100.0%

Counts

516 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.7%	(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) (neg.f64 x)) x) (.f64 x x))
✓	5.3%	(/.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
✓	3.2%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	58.9%	#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)))
✓	46.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	46.5%	#s(approx (/ (- (exp x) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))
▶	3.7%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	46.2%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 75 to 75 computations (0% saved)

series10.0ms (0.2%)

Memory

22.2MiB live, 22.2MiB allocated; 0ms collecting garbage

Counts

22 → 59

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

4.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

rewrite444.0ms (8.7%)

Memory

-59.6MiB live, 307.8MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	884
0	174	801
1	390	754
2	1231	753
3	6011	753
0	8387	659

Stop Event

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

Counts

81 → 1 009

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

Outputs
#s(approx (/ (- (* (neg (exp x)) (neg x)) x) (* x 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 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x))
(.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x))
(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.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) x)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (/.f64 x (fabs.f64 x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (neg.f64 (fabs.f64 x)))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x)
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 x (fabs.f64 x)))) (neg.f64 (fabs.f64 x)))
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (neg.f64 (.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) #s(literal -1 binary64)) x)
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (neg.f64 x))
(/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x))
(/.f64 (.f64 (/.f64 x (fabs.f64 x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) (fabs.f64 x))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) (neg.f64 x))
(/.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)
(/.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 x (fabs.f64 x))) (fabs.f64 x))
(/.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) (neg.f64 x))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 x x)) (.f64 (neg.f64 x) x))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)
(/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/2 binary64)) (.f64 x x))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
(fma.f64 (.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 (.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x) (.f64 #s(literal 0 binary64) (*.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 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) x)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(literal 1/2 binary64)
x
#s(approx (/ (- (* (neg (exp x)) (neg x)) x) (* x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) (fabs.f64 x))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)))
(.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) (.f64 x x))
(.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 x (fabs.f64 x)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (neg.f64 x) (/.f64 x (fabs.f64 x)))) (fabs.f64 x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 x (fabs.f64 x))) (.f64 (neg.f64 x) (/.f64 x (fabs.f64 x)))) (fabs.f64 x))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) #s(literal -1 binary64)) (neg.f64 x)) x)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) (neg.f64 x)) x)
(/.f64 (-.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) x)
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x) (neg.f64 x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) (neg.f64 x))
(/.f64 (-.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x) (neg.f64 x))
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(fma.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64)) (.f64 (fabs.f64 x) #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64)) (.f64 (fabs.f64 x) #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (.f64 #s(literal -1 binary64) (fabs.f64 x)) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (.f64 #s(literal -1 binary64) (fabs.f64 x)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 x x (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 x x (.f64 #s(literal 0 binary64) (.f64 x x)))
(sqrt.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(fabs.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 x (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))
(fabs.f64 (*.f64 x (fabs.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (*.f64 x x)))
#s(approx (/ (- (* (neg (exp x)) (neg x)) x) (* x x)) #s(literal 1 binary64))
#s(approx (/ (- (* (neg (exp x)) (neg x)) x) (* x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (* (neg (exp x)) (neg x)) x) (* x x)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (neg (exp x)) (neg x)) x) (* x 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) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ 1 x) -1/2) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) -1/2) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 x) 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) (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) #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 (/ (- (* (neg (exp x)) (neg x)) x) (* x x)) #s(literal 1 binary64))
#s(approx (/ (- (* (neg (exp x)) (neg x)) x) (* x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (* (neg (exp x)) (neg x)) x) (* x x)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (neg (exp x)) (neg x)) x) (* x 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 (- (* (neg (exp x)) (neg x)) x) (*.f64 x x))
#s(approx (- (* (neg (exp x)) (neg x)) x) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x))
#s(approx (- (* (neg (exp x)) (neg x)) x) (.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))
#s(approx (- (* (neg (exp x)) (neg x)) x) (.f64 (.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) x))
#s(approx (* (neg (exp x)) (neg x)) x)
#s(approx (* (neg (exp x)) (neg x)) (fma.f64 x x x))
#s(approx (* (neg (exp x)) (neg x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
#s(approx (* (neg (exp x)) (neg x)) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x))
#s(approx (neg (exp x)) #s(literal -1 binary64))
#s(approx (neg (exp x)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (neg (exp x)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (neg (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) #s(literal 1 binary64))
#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 (neg x) (neg.f64 x))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (- (* (neg (exp x)) (neg x)) x) (* x x)) (/.f64 (expm1.f64 x) 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) (*.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 x) -1/2) #s(literal 1/2 binary64))
#s(approx (- (/ 1 x) -1/2) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ (- (* (neg (exp x)) (neg x)) x) (* x x)) (/.f64 (expm1.f64 x) x))
#s(approx (- (* (neg (exp x)) (neg x)) x) (*.f64 (expm1.f64 x) x))
#s(approx (* (neg (exp x)) (neg x)) (*.f64 (exp.f64 x) x))
#s(approx (neg (exp x)) (neg.f64 (exp.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (/ (- (* (neg (exp x)) (neg x)) x) (* x x)) (/.f64 (expm1.f64 x) x))
#s(approx (- (* (neg (exp x)) (neg x)) x) (*.f64 (expm1.f64 x) x))

eval179.0ms (3.5%)

Memory: 34.3MiB live, 177.2MiB allocated; 19ms collecting garbage
Compiler: Compiled 7 323 to 3 208 computations (56.2% saved)

prune36.0ms (0.7%)

Memory

-8.3MiB live, 36.7MiB allocated; 6ms collecting garbage

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	971	4	975
Fresh	0	0	0
Picked	1	3	4
Done	0	5	5
Total	972	12	984

Accuracy

100.0%

Counts

984 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.7%	(/.f64 (-.f64 (.f64 (exp.f64 x) x) x) (.f64 x x))
✓	5.3%	(/.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
✓	3.2%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	58.9%	#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)))
✓	46.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
✓	46.5%	#s(approx (/ (- (exp x) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))
▶	46.1%	#s(approx (/ (- (exp x) 1) x) (*.f64 #s(approx (- (/ 1 x) -1/2) (/.f64 #s(literal 1 binary64) x)) x))
▶	15.7%	#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)))
▶	15.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
✓	3.7%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	46.2%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 119 to 119 computations (0% saved)

series6.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Counts

20 → 53

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

rewrite961.0ms (18.9%)

Memory

-2.1MiB live, 312.5MiB allocated; 77ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	850
0	148	786
1	361	770
2	1171	770
3	5649	770
0	8918	673

Stop Event

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

Counts

73 → 679

Calls

Call 1

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

Outputs
#s(approx (/ (- (* (exp x) x) x) (* x 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 (fabs.f64 x) #s(literal 1/6 binary64)) (fabs.f64 x))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/6 binary64)))
(.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 #s(literal -1 binary64) (.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 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 x (.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/6 binary64) x)))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(neg.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x))
(.f64 (neg.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))))
(.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))))
(.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x)))
(.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x)) (.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)) (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))))
(.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))
(.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (fabs.f64 x) (*.f64 x x)))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal -2 binary64))
(/.f64 (fabs.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (.f64 (.f64 x x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (fabs.f64 x) (.f64 x x)) (fabs.f64 x))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (neg.f64 x) x) x) (neg.f64 x))
(/.f64 (.f64 (.f64 x x) x) x)
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))) (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))) (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (.f64 #s(literal -1 binary64) (fabs.f64 x)) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (.f64 #s(literal -1 binary64) (fabs.f64 x)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)) (+.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)) (+.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64)) (.f64 (fabs.f64 x) #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64)) (.f64 (fabs.f64 x) #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (fabs.f64 x) (.f64 x x)) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (fabs.f64 x) (.f64 x x)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 #s(literal 0 binary64) (.f64 x x)))
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(fma.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal 0 binary64) x)) (.f64 (exp.f64 x) #s(literal 0 binary64)))
(fma.f64 (exp.f64 x) (exp.f64 (.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 0 binary64) (exp.f64 x)))
(fma.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 0 binary64))) (.f64 (exp.f64 x) #s(literal 0 binary64)))
(fma.f64 (exp.f64 x) (exp.f64 (.f64 x #s(literal 0 binary64))) (.f64 #s(literal 0 binary64) (exp.f64 x)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 0 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (exp.f64 x)))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (sinh.f64 x)) (cosh.f64 x))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (cosh.f64 x)) (sinh.f64 x))
(fma.f64 x (/.f64 (exp.f64 x) x) (*.f64 (exp.f64 x) #s(literal 0 binary64)))
(fma.f64 x (/.f64 (exp.f64 x) x) (*.f64 #s(literal 0 binary64) (exp.f64 x)))
(sqrt.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))))
(sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)))
(-.f64 (cosh.f64 x) (sinh.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (cosh.f64 x) (sinh.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x))))
(-.f64 (cosh.f64 x) (sinh.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x))))
(-.f64 (cosh.f64 x) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(exp.f64 (-.f64 x #s(literal 0 binary64)))
(exp.f64 x)
(+.f64 (.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x))) (.f64 #s(literal -1 binary64) (sinh.f64 (neg.f64 x))))
(+.f64 (.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) (.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) #s(literal 0 binary64)))
(+.f64 (exp.f64 x) (*.f64 #s(literal 0 binary64) (exp.f64 x)))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(literal 1 binary64))
#s(approx (/ (- (* (exp x) x) x) (* x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (* (exp x) x) x) (* x 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) x) x) (* x 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) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 x) 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) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* (* x x) 1/6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* (+ (* 1/6 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* 1/6 x) 1/2) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (* (- (/ 1 x) -1/2) x) #s(literal 1 binary64))
#s(approx (* (- (/ 1 x) -1/2) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ 1 x) -1/2) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) -1/2) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (- (* (exp x) x) x) (* x x)) #s(literal 1 binary64))
#s(approx (/ (- (* (exp x) x) x) (* x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (* (exp x) x) x) (* x 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) x) x) (* x 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) x) x) (*.f64 x x))
#s(approx (- (* (exp x) x) x) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x))
#s(approx (- (* (exp x) x) x) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) x))
#s(approx (- (* (exp x) x) x) (.f64 (.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) x))
#s(approx (* (exp x) x) x)
#s(approx (* (exp x) x) (fma.f64 x x x))
#s(approx (* (exp x) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
#s(approx (* (exp x) x) (*.f64 (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)) x))
#s(approx (exp x) #s(literal 1 binary64))
#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) x) x) (* x x)) (/.f64 (expm1.f64 x) 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 (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) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#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) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (* (- (/ 1 x) -1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (- (/ 1 x) -1/2) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
#s(approx (- (/ 1 x) -1/2) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (- (* (exp x) x) x) (* x x)) (/.f64 (expm1.f64 x) x))
#s(approx (- (* (exp x) x) x) (*.f64 (expm1.f64 x) x))
#s(approx (* (exp x) x) (*.f64 (exp.f64 x) x))
#s(approx (exp x) (exp.f64 x))
#s(approx (/ (- (* (exp x) x) x) (* x x)) (/.f64 (expm1.f64 x) x))
#s(approx (- (* (exp x) x) x) (*.f64 (expm1.f64 x) x))

eval299.0ms (5.9%)

Memory: 23.4MiB live, 112.4MiB allocated; 12ms collecting garbage
Compiler: Compiled 5 903 to 2 515 computations (57.4% saved)

prune191.0ms (3.7%)

Memory

-59.3MiB live, 24.2MiB allocated; 103ms collecting garbage

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	757	2	759
Fresh	0	0	0
Picked	0	4	4
Done	0	8	8
Total	757	14	771

Accuracy

100.0%

Counts

771 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	35.7%	(/.f64 (-.f64 (.f64 (exp.f64 x) x) x) (.f64 x x))
✓	5.3%	(/.f64 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
✓	3.2%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	58.9%	#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)))
✓	46.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
✓	46.5%	#s(approx (/ (- (exp x) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))
	23.7%	#s(approx (/ (- (exp x) 1) x) (.f64 #s(approx (- (/ 1 x) -1/2) (/.f64 x (.f64 x x))) x))
✓	46.1%	#s(approx (/ (- (exp x) 1) x) (*.f64 #s(approx (- (/ 1 x) -1/2) (/.f64 #s(literal 1 binary64) x)) x))
✓	15.7%	#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)))
✓	15.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
	15.9%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
✓	3.7%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	46.2%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 254 to 228 computations (10.2% saved)

regimes10.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Counts

17 → 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 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) (*.f64 #s(approx (- (/ 1 x) -1/2) (/.f64 #s(literal 1 binary64) x)) 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 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))
#s(approx (/ (- (exp x) 1) x) (.f64 #s(approx (- (/ 1 x) -1/2) (/.f64 x (.f64 x x))) x))
#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 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (.f64 (exp.f64 x) x) x) (.f64 x x))
(/.f64 (-.f64 (.f64 (neg.f64 (exp.f64 x)) (neg.f64 x)) x) (.f64 x x))
(/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (/.f64 (expm1.f64 x) x) (/.f64 (expm1.f64 x) x) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (expm1.f64 x) x) #s(literal 0 binary64)))))

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

Calls

2 calls:

5.0ms	x
4.0ms	(/.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)

regimes8.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB 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 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) (*.f64 #s(approx (- (/ 1 x) -1/2) (/.f64 #s(literal 1 binary64) x)) 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 (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))
#s(approx (/ (- (exp x) 1) x) (.f64 #s(approx (- (/ 1 x) -1/2) (/.f64 x (.f64 x x))) x))
#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
#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:

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

Results

Accuracy	Segments	Branch
58.9%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
58.9%	1	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes7.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
58.3%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
58.3%	2	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes5.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Counts

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

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
58.3%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
58.3%	2	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes95.0ms (1.9%)

Memory

-40.4MiB live, 4.3MiB allocated; 15ms 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:

93.0ms	x
1.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
46.7%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
46.7%	1	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes3.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Accuracy

Total -27.6b remaining (-80.2%)

Threshold costs -27.6b (-80.2%)

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:

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

Results

Accuracy	Segments	Branch
46.2%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
46.2%	1	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

bsearch11.0ms (0.2%)

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	3.9437126516706144e-5	14.163002672841294

Samples

5.0ms

144×

valid

Compiler

Compiled 225 to 241 computations (-7.1% saved)

Precisions

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

ival-expm1: 1.0ms (46.5% of total)

ival-div!: 1.0ms (46.5% of total)

adjust: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	3.9437126516706144e-5	14.163002672841294

Samples

2.0ms

64×

valid

Compiler

Compiled 216 to 232 computations (-7.4% saved)

Precisions

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

ival-expm1: 1.0ms (104.5% of total)

adjust: 0.0ms (0% of total)

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

derivations779.0ms (15.3%)

Memory

-10.1MiB live, 263.5MiB allocated; 29ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 46 to 35 computations (23.9% saved)

preprocess229.0ms (4.5%)

Memory: 11.5MiB live, 104.5MiB allocated; 22ms collecting garbage
Compiler: Compiled 68 to 52 computations (23.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample611.0ms (12%)

preprocess68.0ms (1.3%)

series3.0ms (0.1%)

rewrite654.0ms (12.8%)

eval66.0ms (1.3%)

prune60.0ms (1.2%)

series3.0ms (0.1%)

rewrite277.0ms (5.4%)

eval60.0ms (1.2%)

prune14.0ms (0.3%)

series10.0ms (0.2%)

rewrite444.0ms (8.7%)

eval179.0ms (3.5%)

prune36.0ms (0.7%)

series6.0ms (0.1%)

rewrite961.0ms (18.9%)

eval299.0ms (5.9%)

prune191.0ms (3.7%)

regimes10.0ms (0.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes95.0ms (1.9%)

regimes3.0ms (0.1%)

bsearch11.0ms (0.2%)

bsearch5.0ms (0.1%)

derivations779.0ms (15.3%)

preprocess229.0ms (4.5%)

end0.0ms (0%)

Profiling