Metrics for Kahan's exp quotient

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample594.0ms (17.7%)

Memory

5.5MiB live, 725.2MiB allocated; 254ms collecting garbage

Samples

344.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-div!: 118.0ms (63.1% of total)

ival-expm1: 67.0ms (35.8% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

preprocess91.0ms (2.7%)

Memory

-36.2MiB live, 54.7MiB allocated; 10ms 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
▶	51.7%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 10 to 10 computations (0% saved)

series3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB 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)

rewrite489.0ms (14.6%)

Memory

23.5MiB live, 385.2MiB allocated; 74ms 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	12951	147

Stop Event

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

Counts

21 → 329

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

eval55.0ms (1.6%)

Memory: 1.0MiB live, 58.6MiB allocated; 14ms collecting garbage
Compiler: Compiled 2 428 to 1 025 computations (57.8% saved)

prune8.0ms (0.3%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	319	6	325
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	320	6	326

Accuracy

100.0%

Counts

326 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.2%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
	51.2%	(/.f64 (.f64 (expm1.f64 x) x) (.f64 x x))
▶	100.0%	(/.f64 (expm1.f64 x) x)
▶	64.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	52.2%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	52.1%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 82 to 82 computations (0% saved)

series4.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Counts

15 → 30

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))
#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)

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

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

1.0ms

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

rewrite235.0ms (7%)

Memory

-45.5MiB live, 247.8MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	394
0	92	360
1	233	357
2	628	357
3	2797	357
0	8250	349

Stop Event

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

Counts

45 → 432

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

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

eval44.0ms (1.3%)

Memory: 11.2MiB live, 110.7MiB allocated; 17ms collecting garbage
Compiler: Compiled 2 607 to 1 062 computations (59.3% saved)

prune12.0ms (0.4%)

Memory

-13.2MiB live, 32.3MiB allocated; 6ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	410	3	413
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	410	9	419

Accuracy

100.0%

Counts

419 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	3.2%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
▶	51.2%	(/.f64 (.f64 (expm1.f64 x) x) (.f64 x x))
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	64.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	52.2%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	16.2%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
▶	16.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
▶	3.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	52.1%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 86 to 86 computations (0% saved)

series6.0ms (0.2%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

Counts

17 → 42

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

rewrite354.0ms (10.6%)

Memory

8.3MiB live, 336.5MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	647
0	115	594
1	288	592
2	840	590
3	4479	590
0	8128	549

Stop Event

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

Counts

59 → 862

Calls

Call 1

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

Outputs
#s(approx (/ (* (- (exp x) 1) 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 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(.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 -1 binary64))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) 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 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (neg.f64 (.f64 x #s(literal 2 binary64))))
(/.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 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 x (fabs.f64 x)))) (neg.f64 (fabs.f64 x)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (neg.f64 x) x)) (.f64 x x))
(/.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) #s(literal -1 binary64)) x)
(/.f64 (.f64 (/.f64 x (fabs.f64 x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64))) (fabs.f64 x))
(/.f64 (.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 x (fabs.f64 x))) (fabs.f64 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 2 binary64)) (.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x x)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) (neg.f64 x))
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(+.f64 (/.f64 (expm1.f64 x) x) (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 x) x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (expm1.f64 x) x) (/.f64 (*.f64 (expm1.f64 x) #s(literal 0 binary64)) x))
(+.f64 (/.f64 (expm1.f64 x) x) (/.f64 (*.f64 #s(literal 0 binary64) (expm1.f64 x)) x))
(+.f64 (/.f64 (expm1.f64 x) x) (*.f64 (/.f64 (expm1.f64 x) x) #s(literal 0 binary64)))
(+.f64 (/.f64 (expm1.f64 x) x) (*.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 x) x)))
(*.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 (expm1.f64 x)))
(.f64 (.f64 (expm1.f64 x) x) #s(literal 1 binary64))
(*.f64 (expm1.f64 x) x)
(.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) x))
(*.f64 x (expm1.f64 x))
(neg.f64 (*.f64 (neg.f64 x) (expm1.f64 x)))
(fma.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) x (neg.f64 x))
(fma.f64 (*.f64 (exp.f64 x) x) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 (cosh.f64 x) x (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) x))
(fma.f64 (exp.f64 x) x (neg.f64 x))
(fma.f64 x (cosh.f64 x) (*.f64 x (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(fma.f64 x (exp.f64 x) (neg.f64 x))
(-.f64 (*.f64 (exp.f64 x) x) x)
(+.f64 (.f64 x (cosh.f64 x)) (.f64 x (-.f64 (sinh.f64 x) #s(literal 1 binary64))))
(+.f64 (.f64 (cosh.f64 x) x) (.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) x))
(+.f64 (*.f64 (exp.f64 x) x) (neg.f64 x))
(*.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (expm1.f64 x)) x))
(.f64 (.f64 (expm1.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (expm1.f64 x) x) x)
(*.f64 (expm1.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 x))
(*.f64 x (/.f64 (expm1.f64 x) x))
(/.f64 (+.f64 (-.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (-.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 x (.f64 (expm1.f64 x) x))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (.f64 (.f64 (expm1.f64 x) x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (/.f64 (*.f64 (expm1.f64 x) x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (fma.f64 (neg.f64 x) (exp.f64 x) x) x)) (.f64 x x))
(/.f64 (neg.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 x (fma.f64 (neg.f64 x) (exp.f64 x) x))) (.f64 x x))
(/.f64 (.f64 x (.f64 (expm1.f64 x) x)) (*.f64 x x))
(/.f64 (.f64 (.f64 (expm1.f64 x) x) x) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (expm1.f64 x) x) #s(literal 1 binary64)) x)
(/.f64 (.f64 (fma.f64 (neg.f64 x) (exp.f64 x) x) x) (.f64 (neg.f64 x) x))
(/.f64 (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 x (fma.f64 (neg.f64 x) (exp.f64 x) x)) (.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (expm1.f64 x)) (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (expm1.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (expm1.f64 x)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (*.f64 x x)))
(/.f64 (neg.f64 (expm1.f64 x)) (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 x) (expm1.f64 x)) (.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(/.f64 (*.f64 (neg.f64 x) (expm1.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (expm1.f64 x) x) x)
(/.f64 (expm1.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64) (/.f64 (*.f64 (expm1.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (expm1.f64 x)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64) (*.f64 (expm1.f64 x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (expm1.f64 x)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 (expm1.f64 x)) x) (/.f64 (*.f64 (expm1.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 (expm1.f64 x)) x) (/.f64 (*.f64 #s(literal 0 binary64) (expm1.f64 x)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 (expm1.f64 x)) x) (*.f64 (expm1.f64 x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 (expm1.f64 x)) x) (*.f64 #s(literal 0 binary64) (expm1.f64 x)))
(fma.f64 (.f64 (expm1.f64 x) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (expm1.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (expm1.f64 x) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 #s(literal 0 binary64) (expm1.f64 x)) #s(literal 1 binary64)))
(fma.f64 (.f64 (expm1.f64 x) x) (/.f64 #s(literal 1 binary64) x) (.f64 (expm1.f64 x) #s(literal 0 binary64)))
(fma.f64 (.f64 (expm1.f64 x) x) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 0 binary64) (expm1.f64 x)))
(fma.f64 (/.f64 (expm1.f64 x) x) x (/.f64 (*.f64 (expm1.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (expm1.f64 x) x) x (/.f64 (*.f64 #s(literal 0 binary64) (expm1.f64 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (expm1.f64 x) x) x (*.f64 (expm1.f64 x) #s(literal 0 binary64)))
(fma.f64 (/.f64 (expm1.f64 x) x) x (*.f64 #s(literal 0 binary64) (expm1.f64 x)))
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (expm1.f64 x)) #s(literal 1 binary64)))
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) (*.f64 (expm1.f64 x) #s(literal 0 binary64)))
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (expm1.f64 x)))
(fma.f64 #s(literal 1 binary64) (expm1.f64 x) (/.f64 (*.f64 (expm1.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (expm1.f64 x) (/.f64 (*.f64 #s(literal 0 binary64) (expm1.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (expm1.f64 x) (*.f64 (expm1.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (expm1.f64 x) (*.f64 #s(literal 0 binary64) (expm1.f64 x)))
(fma.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) (exp.f64 (*.f64 x #s(literal 0 binary64))) #s(literal -1 binary64))
(fma.f64 x (/.f64 (expm1.f64 x) x) (/.f64 (*.f64 (expm1.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (expm1.f64 x) x) (/.f64 (*.f64 #s(literal 0 binary64) (expm1.f64 x)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (expm1.f64 x) x) (*.f64 (expm1.f64 x) #s(literal 0 binary64)))
(fma.f64 x (/.f64 (expm1.f64 x) x) (*.f64 #s(literal 0 binary64) (expm1.f64 x)))
(expm1.f64 (-.f64 x #s(literal 0 binary64)))
(expm1.f64 x)
(-.f64 (/.f64 (*.f64 (exp.f64 x) x) x) #s(literal 1 binary64))
(-.f64 (expm1.f64 x) #s(literal 0 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 (neg.f64 x) (cosh.f64 x)) (neg.f64 x)) (/.f64 (.f64 (neg.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) (neg.f64 x)))
(+.f64 (/.f64 (.f64 (cosh.f64 x) (neg.f64 x)) (neg.f64 x)) (/.f64 (.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x)))
(+.f64 (/.f64 (.f64 x (cosh.f64 x)) x) (/.f64 (.f64 x (-.f64 (sinh.f64 x) #s(literal 1 binary64))) x))
(+.f64 (/.f64 (.f64 (cosh.f64 x) x) x) (/.f64 (.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) x) x))
(+.f64 (/.f64 (*.f64 (exp.f64 x) x) x) #s(literal -1 binary64))
(+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))
(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (expm1.f64 x) (/.f64 (*.f64 (expm1.f64 x) #s(literal 0 binary64)) #s(literal 1 binary64)))
(+.f64 (expm1.f64 x) (/.f64 (*.f64 #s(literal 0 binary64) (expm1.f64 x)) #s(literal 1 binary64)))
(+.f64 (expm1.f64 x) (*.f64 (expm1.f64 x) #s(literal 0 binary64)))
(+.f64 (expm1.f64 x) (*.f64 #s(literal 0 binary64) (expm1.f64 x)))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
#s(approx (/ (* (- (exp x) 1) x) (* x x)) #s(literal 1 binary64))
#s(approx (/ (* (- (exp x) 1) x) (* x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (* (- (exp x) 1) 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) 1) 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 (+ (* (+ (* 1/6 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 (* (+ (* 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 (/ (* (- (exp x) 1) x) (* x x)) #s(literal 1 binary64))
#s(approx (/ (* (- (exp x) 1) x) (* x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (* (- (exp x) 1) 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) 1) 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) 1) x) (*.f64 x x))
#s(approx (* (- (exp x) 1) x) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x))
#s(approx (* (- (exp x) 1) 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) 1) 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) 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) 1) 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 (+ (* (+ (* 1/6 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 (/ (* (- (exp x) 1) x) (* x x)) (/.f64 (expm1.f64 x) x))
#s(approx (* (- (exp x) 1) x) (*.f64 (expm1.f64 x) x))
#s(approx (- (exp x) 1) (expm1.f64 x))

eval115.0ms (3.4%)

Memory: 17.3MiB live, 207.9MiB allocated; 64ms collecting garbage
Compiler: Compiled 9 113 to 2 771 computations (69.6% saved)

prune356.0ms (10.6%)

Memory

-29.8MiB live, 63.6MiB allocated; 13ms collecting garbage

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	1 075	1	1 076
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	1 075	10	1 085

Accuracy

100.0%

Counts

1 085 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	3.2%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
✓	51.2%	(/.f64 (.f64 (expm1.f64 x) x) (.f64 x x))
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	64.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	52.2%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
✓	16.2%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
✓	16.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
▶	16.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
✓	3.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	52.1%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 102 to 102 computations (0% saved)

series3.0ms (0.1%)

Memory

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

Counts

6 → 14

Calls

Call 1

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

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 (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (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)))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite345.0ms (10.3%)

Memory

24.6MiB live, 170.6MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	245
0	55	235
1	148	235
2	400	235
3	1677	233
0	8815	191

Stop Event

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

Counts

20 → 103

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) x) (neg.f64 x))
(.f64 #s(literal -1/6 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1/6 binary64))
(.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(neg.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x))
(fma.f64 (.f64 #s(literal -1/6 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x #s(literal 0 binary64))))
(fma.f64 (.f64 #s(literal -1/6 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 #s(literal -1/6 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 x #s(literal 0 binary64)) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 (.f64 #s(literal -1/6 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 (.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x #s(literal 0 binary64))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (.f64 x #s(literal 0 binary64)) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 (.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x #s(literal 0 binary64))))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 0 binary64) x)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/6 binary64)) (.f64 (.f64 x #s(literal 0 binary64)) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 (.f64 #s(literal -1/6 binary64) x) (neg.f64 x) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x #s(literal 0 binary64))))
(fma.f64 (.f64 #s(literal -1/6 binary64) x) (neg.f64 x) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 #s(literal -1/6 binary64) x) (neg.f64 x) (.f64 (.f64 x #s(literal 0 binary64)) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 (.f64 #s(literal -1/6 binary64) x) (neg.f64 x) (.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 #s(literal -1/6 binary64) (.f64 (neg.f64 x) x) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x #s(literal 0 binary64))))
(fma.f64 #s(literal -1/6 binary64) (.f64 (neg.f64 x) x) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal -1/6 binary64) (.f64 (neg.f64 x) x) (.f64 (.f64 x #s(literal 0 binary64)) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 #s(literal -1/6 binary64) (.f64 (neg.f64 x) x) (.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x #s(literal 0 binary64))))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1/6 binary64) (.f64 (.f64 x #s(literal 0 binary64)) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x #s(literal 0 binary64))))
(fma.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 0 binary64) x)))
(fma.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 x #s(literal 0 binary64)) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x #s(literal 0 binary64))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x #s(literal 0 binary64)) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x #s(literal 0 binary64))))
(fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 x #s(literal 0 binary64)) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x #s(literal 0 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x #s(literal 0 binary64)) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 x (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x #s(literal 0 binary64))))
(fma.f64 x (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 0 binary64) x)))
(fma.f64 x (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 x #s(literal 0 binary64)) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 x (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1/6 binary64) x)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 x #s(literal 0 binary64))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x #s(literal 0 binary64)) (*.f64 #s(literal 1/6 binary64) x)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal 0 binary64) x) (*.f64 #s(literal 1/6 binary64) x)))
(*.f64 #s(literal -1/6 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(neg.f64 (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 #s(literal -1/6 binary64) (neg.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 0 binary64))))
(fma.f64 #s(literal -1/6 binary64) (neg.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal -1/6 binary64) (neg.f64 x) (.f64 (.f64 x #s(literal 0 binary64)) #s(literal 1/6 binary64)))
(fma.f64 #s(literal -1/6 binary64) (neg.f64 x) (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 0 binary64))))
(fma.f64 (neg.f64 x) #s(literal -1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 #s(literal 0 binary64) x)))
(fma.f64 (neg.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 x #s(literal 0 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 0 binary64))))
(fma.f64 #s(literal 1/6 binary64) x (.f64 #s(literal 1/6 binary64) (.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 1/6 binary64) x (.f64 (.f64 x #s(literal 0 binary64)) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x #s(literal 0 binary64))))
(fma.f64 x #s(literal 1/6 binary64) (.f64 #s(literal 1/6 binary64) (.f64 #s(literal 0 binary64) x)))
(fma.f64 x #s(literal 1/6 binary64) (.f64 (.f64 x #s(literal 0 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)))
(+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 0 binary64))))
(+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 1/6 binary64)))
(+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/6 binary64)))
#s(literal 1/6 binary64)
x
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 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) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* 1/6 x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx x x)
#s(approx (/ (- (exp x) 1) 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)))

eval34.0ms (1%)

Memory: -27.4MiB live, 15.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 657 to 338 computations (48.6% saved)

prune6.0ms (0.2%)

Memory

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

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	90	10	100

Accuracy

100.0%

Counts

100 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	3.2%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
✓	51.2%	(/.f64 (.f64 (expm1.f64 x) x) (.f64 x x))
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	64.8%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	52.2%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
✓	16.2%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
✓	16.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
✓	16.3%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
✓	3.8%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	52.1%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 162 to 148 computations (8.6% saved)

regimes7.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes5.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

8 → 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) #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 (/ (- (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:

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

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes5.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB 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) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))

Outputs
#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:

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

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes16.0ms (0.5%)

Memory

-35.8MiB live, 9.0MiB allocated; 5ms collecting garbage

Counts

6 → 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)

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:

13.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
2.0ms	x

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

regimes3.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
52.2%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
52.2%	1	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes2.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Accuracy

Total -31.3b remaining (-102.2%)

Threshold costs -31.3b (-102.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 6 to 6 computations (0% saved)

bsearch11.0ms (0.3%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.04292280073766953	7529030.723780837

Samples

5.0ms

144×

valid

Compiler

Compiled 225 to 241 computations (-7.1% saved)

Precisions

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

ival-expm1: 1.0ms (45.6% of total)

ival-div!: 1.0ms (45.6% of total)

adjust: 0.0ms (0% of total)

bsearch6.0ms (0.2%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.04292280073766953	7529030.723780837

Samples

3.0ms

80×

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 (81.8% of total)

adjust: 0.0ms (0% of total)

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

derivations398.0ms (11.9%)

Memory

-45.8MiB live, 198.4MiB allocated; 42ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 46 to 35 computations (23.9% saved)

preprocess144.0ms (4.3%)

Memory: 10.7MiB live, 142.9MiB allocated; 21ms 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%)

sample594.0ms (17.7%)

preprocess91.0ms (2.7%)

series3.0ms (0.1%)

rewrite489.0ms (14.6%)

eval55.0ms (1.6%)

prune8.0ms (0.3%)

series4.0ms (0.1%)

rewrite235.0ms (7%)

eval44.0ms (1.3%)

prune12.0ms (0.4%)

series6.0ms (0.2%)

rewrite354.0ms (10.6%)

eval115.0ms (3.4%)

prune356.0ms (10.6%)

series3.0ms (0.1%)

rewrite345.0ms (10.3%)

eval34.0ms (1%)

prune6.0ms (0.2%)

regimes7.0ms (0.2%)

regimes5.0ms (0.2%)

regimes5.0ms (0.1%)

regimes16.0ms (0.5%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch11.0ms (0.3%)

bsearch6.0ms (0.2%)

derivations398.0ms (11.9%)

preprocess144.0ms (4.3%)

end0.0ms (0%)

Profiling