Metrics for Kahan's exp quotient

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

2.6MiB live, 2.6MiB 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)

sample601.0ms (18.7%)

Memory

12.6MiB live, 811.0MiB allocated; 148ms collecting garbage

Samples

403.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 254.0ms

ival-expm1: 155.0ms (61% of total)

ival-div: 95.0ms (37.4% of total)

ival-assert: 3.0ms (1.2% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

explain65.0ms (2%)

Memory

18.1MiB live, 110.0MiB allocated; 6ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
127	-	-	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	-	-	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(exp.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	127	0

Confusion

	Predicted +	Predicted -
+	127	0
-	0	129

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	127	0	0
-	0	0	129

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	129
1	127

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 38 to 19 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-exp: 7.0ms (45.2% of total)

ival-div: 4.0ms (25.8% of total)

ival-expm1: 3.0ms (19.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess719.0ms (22.3%)

Memory

-84.8MiB live, 374.1MiB allocated; 968ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	32	21
2	78	21
3	247	21
4	1225	21
0	5	6
0	8	6
1	16	6
2	32	6
3	76	6
4	299	6
5	3046	6
0	8497	4

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

series3.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB 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)

rewrite239.0ms (7.4%)

Memory

-21.0MiB live, 275.4MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	192
0	49	192
1	240	192
2	2096	192
0	8129	147

Stop Event

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

Counts

21 → 104

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

eval12.0ms (0.4%)

Memory: -19.0MiB live, 26.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 698 to 363 computations (78.6% saved)

prune5.0ms (0.2%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	99	7	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	7	107

Accuracy

100.0%

Counts

107 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.3%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
▶	100.0%	(/.f64 (expm1.f64 x) x)
	69.8%	(/.f64 #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)) x)
	67.6%	#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)))
▶	64.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
▶	51.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	51.0%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 162 to 126 computations (22.2% saved)

series4.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB 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)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(/.f64 (-.f64 #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))

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 (+ (* (+ (* 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) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (exp x) #s(hole binary64 (exp 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) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (/ (- (exp x) 1) x) (- (exp x) 1) (exp x))
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) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (/ (- (exp x) 1) x) (- (exp x) 1) (exp x))
1.0ms	x	@	0	((/ (- (exp x) 1) x) (- (exp x) 1) x (/ (- (exp x) 1) x) 1 (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) 1/2 (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (/ (- (exp x) 1) x) (- (exp x) 1) (exp x))

Time

Variable

Point

Expression

2.0ms

-inf

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

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

1.0ms

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

rewrite118.0ms (3.7%)

Memory

-5.1MiB live, 143.3MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	394
0	92	366
1	427	363
0	3530	355

Stop Event

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

Counts

45 → 196

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (pow.f64 x #s(literal -2 binary64))) (+.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x) (+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (.f64 (exp.f64 x) (neg.f64 x)) (.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (exp.f64 x) x) x) (.f64 x x))
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) x))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(neg.f64 (/.f64 (neg.f64 (expm1.f64 x)) x))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(-.f64 (/.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(expm1.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))
(-.f64 (exp.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 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x)
(*.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) x) (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/8 binary64)) x) (-.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
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(/.f64 (-.f64 (.f64 #s(approx (exp x) #s(literal 1 binary64)) (neg.f64 x)) (.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 #s(approx (exp x) #s(literal 1 binary64)) x) x) (.f64 x x))
(/.f64 (fma.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) x))
(/.f64 (neg.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))) x))
(neg.f64 (/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 x)))
(-.f64 (/.f64 #s(approx (exp x) #s(literal 1 binary64)) x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- (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 (+ (* (+ (* 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)))
(*.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp x) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (/.f64 (expm1.f64 x) x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) x)) (.f64 x 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) (exp.f64 x))

eval22.0ms (0.7%)

Memory: 5.6MiB live, 51.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 3 628 to 640 computations (82.4% saved)

prune12.0ms (0.4%)

Memory

-24.7MiB live, 21.9MiB allocated; 2ms collecting garbage

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	199	3	202
Fresh	0	2	2
Picked	0	5	5
Done	0	0	0
Total	199	10	209

Accuracy

100.0%

Counts

209 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	3.3%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	69.8%	(/.f64 #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)) x)
▶	67.6%	#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)))
✓	64.0%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	51.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
▶	16.4%	#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)))
▶	16.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
▶	3.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	51.0%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 239 to 180 computations (24.7% saved)

series8.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Counts

23 → 61

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 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 (* 1/2 x) #s(hole binary64 (* 1/2 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) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x)))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 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 (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 1 (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (* 1/2 x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* x x) 1/6) (* x x) (/ (- (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))
2.0ms	x	@	inf	((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 1 (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (* 1/2 x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* x x) 1/6) (* x x) (/ (- (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))
1.0ms	x	@	0	((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 1 (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (* 1/2 x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* x x) 1/6) (* x x) (/ (- (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))

Time

Variable

Point

Expression

3.0ms

-inf

((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 1 (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (* 1/2 x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* x x) 1/6) (* x x) (/ (- (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))

2.0ms

inf

((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 1 (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (* 1/2 x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* x x) 1/6) (* x x) (/ (- (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))

1.0ms

((/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 1 (/ (- (exp x) 1) x) (+ (* 1/2 x) 1) (* 1/2 x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* x x) 1/6) (* x x) (/ (- (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))

rewrite175.0ms (5.4%)

Memory

16.7MiB live, 161.3MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	1203
0	187	1122
1	784	1105
0	6483	1041

Stop Event

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

Counts

84 → 395

Calls

Call 1

Inputs
(/.f64 #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)) 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))
(*.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)
(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))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
x
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#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 (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #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(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(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(hole binary64 1))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 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 (* 1/2 x) #s(hole binary64 (* 1/2 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) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x)))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 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 (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))

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

eval77.0ms (2.4%)

Memory: -34.5MiB live, 114.6MiB allocated; 34ms collecting garbage
Compiler: Compiled 14 971 to 1 904 computations (87.3% saved)

prune22.0ms (0.7%)

Memory

7.3MiB live, 54.1MiB allocated; 4ms collecting garbage

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	543	8	551
Fresh	0	0	0
Picked	1	4	5
Done	0	5	5
Total	544	17	561

Accuracy

100.0%

Counts

561 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	3.3%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	69.7%	(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) x)
▶	28.9%	(/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) x)
▶	68.8%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
✓	67.6%	#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)))
	67.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	64.0%	#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)))
	66.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x #s(literal 1 binary64)))
▶	66.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
✓	51.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
	20.0%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
✓	16.4%	#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)))
✓	16.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
▶	16.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
✓	3.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	51.0%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 563 to 382 computations (32.1% saved)

series11.0ms (0.3%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Counts

29 → 101

Calls

Call 1

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

Outputs
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 1/6 (* 1/24 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (* (* x x) 1/24) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 x))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/4 (pow x 2))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* -1/6 x) 1/4))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* x (- (* -5/72 x) 1/6)) 1/4))))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* 1/4 (pow x 4))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (+ 1/4 (* 1/6 x)))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (+ 1/4 (* x (+ 1/6 (* 5/72 x)))))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (+ 1/4 (* x (+ 1/6 (* x (+ 5/72 (* 1/72 x)))))))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* 1/6 x)))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 x))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* x (+ 1 (* x (- (* -1/6 x) 1/2))))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* x (+ 1 (* x (- (* x (- (* -1/24 x) 1/6)) 1/2))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x)))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 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 (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* -1/576 (pow x 8))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* -1 (* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x)))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 1/72 (* 5/72 (/ 1 x))) x)) 1/576))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) (pow x 2))) (+ 1/576 (* 1/72 (/ 1 x)))))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* 1/576 (pow x 8))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* -1/24 (pow x 4))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* -1 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (- (/ 1 (pow x 3)) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 1/72 (+ (/ 1/6 (pow x 2)) (* 5/72 (/ 1 x)))) x)) 1/576))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 8) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 1/6 (* -1 (/ (- (/ 1 x) 1/2) x))) x)) 1/24))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 (* x x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* 1/6 x) x) (* 1/6 x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* x x) 1/24) 1 (/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (/ (- (exp x) 1) x) (- (exp x) 1) (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))))
3.0ms	x	@	-inf	((/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 (* x x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* 1/6 x) x) (* 1/6 x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* x x) 1/24) 1 (/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (/ (- (exp x) 1) x) (- (exp x) 1) (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))))
3.0ms	x	@	inf	((/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 (* x x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* 1/6 x) x) (* 1/6 x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* x x) 1/24) 1 (/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (/ (- (exp x) 1) x) (- (exp x) 1) (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))))

Time

Variable

Point

Expression

3.0ms

((/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 (* x x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* 1/6 x) x) (* 1/6 x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* x x) 1/24) 1 (/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (/ (- (exp x) 1) x) (- (exp x) 1) (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))))

3.0ms

-inf

((/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 (* x x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* 1/6 x) x) (* 1/6 x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* x x) 1/24) 1 (/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (/ (- (exp x) 1) x) (- (exp x) 1) (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))))

3.0ms

inf

((/ (- (exp x) 1) x) (- (exp x) 1) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 x 1/6 1/2 (* x x) (/ (- (exp x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (* (* 1/6 x) x) (* 1/6 x) (/ (- (exp x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* (* x x) 1/24) 1 (/ (- (exp x) 1) x) (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (/ (- (exp x) 1) x) (- (exp x) 1) (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))))

rewrite245.0ms (7.6%)

Memory

18.9MiB live, 205.3MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	334	3154
0	367	2487
1	1702	2487
0	8443	2370

Stop Event

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

Counts

130 → 310

Calls

Call 1

Inputs
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) x)
#s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 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)) (*.f64 x x) x)
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
x
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 x x)
#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(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
#s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x))
(.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)
(/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) x)
#s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))
(-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))
(.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))
(.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))
(-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 1))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 1/6 (* 1/24 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))
#s(approx (* (* x x) 1/24) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 x))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/4 (pow x 2))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* -1/6 x) 1/4))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* x (- (* -5/72 x) 1/6)) 1/4))))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* 1/4 (pow x 4))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (+ 1/4 (* 1/6 x)))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (+ 1/4 (* x (+ 1/6 (* 5/72 x)))))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (+ 1/4 (* x (+ 1/6 (* x (+ 5/72 (* 1/72 x)))))))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* 1/6 x)))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 x))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* x (+ 1 (* x (- (* -1/6 x) 1/2))))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* x (+ 1 (* x (- (* x (- (* -1/24 x) 1/6)) 1/2))))))
#s(approx (/ (- (exp x) 1) x) #s(hole binary64 (/ (- (exp x) 1) x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x)))
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 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 (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* -1/576 (pow x 8))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* -1 (* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x)))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 1/72 (* 5/72 (/ 1 x))) x)) 1/576))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) (pow x 2))) (+ 1/576 (* 1/72 (/ 1 x)))))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* 1/576 (pow x 8))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 8) (+ 1/576 (* 1/72 (/ 1 x))))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 8) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* 1/24 (pow x 4))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* -1/24 (pow x 4))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* -1 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (- (/ 1 (pow x 3)) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (/ (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 1/72 (+ (/ 1/6 (pow x 2)) (* 5/72 (/ 1 x)))) x)) 1/576))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 8) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 1/6 (* -1 (/ (- (/ 1 x) 1/2) x))) x)) 1/24))))

Outputs
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 #s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x))) (neg.f64 x))
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)) x)
#s(approx (- (exp x) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))) (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))) (.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (.f64 x (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)))))
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(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
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(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
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(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x) (*.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)))
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(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x))
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(-.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)))
(-.f64 x (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))
(+.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)) (/.f64 (.f64 (neg.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x x)))
(+.f64 x (.f64 (neg.f64 (.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) x)
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* 1/24 x) 1/6) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
#s(approx x x)
#s(approx (* x x) (*.f64 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 (* (* 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 (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
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#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* (* x x) 1/24) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) x)
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
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#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) x)
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
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#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
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#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/72 binary64) x #s(literal 5/72 binary64)) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) x)
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (*.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) (/.f64 (expm1.f64 x) x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x)))
#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (+ (* 1/24 x) 1/6) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) 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 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) x))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/576 binary64)))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/72 binary64) x) #s(literal 1/576 binary64)) (pow.f64 x #s(literal 8 binary64)))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/72 binary64) x) #s(literal 1/72 binary64)) x)) #s(literal 1/576 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 5/72 binary64)) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/72 binary64) x) #s(literal 1/576 binary64))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 (+.f64 (/.f64 #s(literal 1/72 binary64) x) #s(literal 1/576 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (.f64 (+.f64 (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 5/72 binary64) (.f64 x x))) (/.f64 #s(literal 1/72 binary64) x)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (.f64 (+.f64 (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 5/72 binary64) (.f64 x x))) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/72 binary64) x))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/24 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64)) x) #s(literal -1 binary64) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64)) x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64)) x) #s(literal -1 binary64) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (* x x)) x) (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64)) x) #s(literal -1 binary64) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/72 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 #s(literal 5/72 binary64) x)) x)) #s(literal 1/576 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 5/72 binary64)) x)) #s(literal 1/72 binary64)) x) #s(literal -1 binary64) #s(literal 1/576 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal 1/6 binary64)) x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))

eval114.0ms (3.5%)

Memory: -47.1MiB live, 104.4MiB allocated; 19ms collecting garbage
Compiler: Compiled 32 312 to 2 911 computations (91% saved)

prune40.0ms (1.2%)

Memory

-4.1MiB live, 42.7MiB allocated; 2ms collecting garbage

Pruning

21 alts after pruning (8 fresh and 13 done)

	Pruned	Kept	Total
New	659	5	664
Fresh	0	3	3
Picked	1	4	5
Done	0	9	9
Total	660	21	681

Accuracy

100.0%

Counts

681 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	3.3%	(/.f64 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	69.7%	(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) x)
	35.3%	(/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) #s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) x)
	28.5%	(/.f64 #s(approx (- (exp x) 1) (/.f64 #s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -5/72 binary64) x) #s(literal 1/6 binary64)) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 x (.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) x)
	27.4%	(/.f64 #s(approx (- (exp x) 1) (/.f64 #s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) x)
	26.6%	(/.f64 #s(approx (- (exp x) 1) (/.f64 #s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 x (.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) x)
✓	68.8%	(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
✓	67.6%	#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)))
	67.6%	#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
✓	64.0%	#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)))
	66.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x #s(literal 1 binary64)))
✓	66.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
	66.7%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 x (.f64 #s(literal 1/24 binary64) x))) x #s(literal 1 binary64)))
✓	51.1%	#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
	20.0%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
✓	16.4%	#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)))
✓	16.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
✓	16.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
✓	3.6%	#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
✓	51.0%	#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))

Compiler

Compiled 1 229 to 508 computations (58.7% saved)

regimes13.0ms (0.4%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Counts

24 → 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))))
#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 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 x (.f64 #s(literal 1/24 binary64) x))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
(/.f64 #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)) x)
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (/.f64 #s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 x (.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) x)
(/.f64 #s(approx (- (exp x) 1) (/.f64 #s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) x)
(/.f64 #s(approx (- (exp x) 1) (/.f64 #s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -5/72 binary64) x) #s(literal 1/6 binary64)) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 x (.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) x)
(/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) #s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) x)
(/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

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

Calls

2 calls:

6.0ms	x
5.0ms	(/.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 7 to 6 computations (14.3% saved)

regimes12.0ms (0.4%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

22 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#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 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 x (.f64 #s(literal 1/24 binary64) x))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
(/.f64 #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)) x)
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (/.f64 #s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 x (.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) x)
(/.f64 #s(approx (- (exp x) 1) (/.f64 #s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) x)
(/.f64 #s(approx (- (exp x) 1) (/.f64 #s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -5/72 binary64) x) #s(literal 1/6 binary64)) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 x (.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) x)
(/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) #s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) x)
(/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) x)

Outputs

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

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

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

Calls

2 calls:

6.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
69.8%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
72.9%	3	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes12.0ms (0.4%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Counts

21 → 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))))
#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 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 x (.f64 #s(literal 1/24 binary64) x))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
(/.f64 #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)) x)
(/.f64 #s(approx (- (exp x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x) x)) x)
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (/.f64 #s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 x (.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) x)
(/.f64 #s(approx (- (exp x) 1) (/.f64 #s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) x)
(/.f64 #s(approx (- (exp x) 1) (/.f64 #s(approx (- (* x x) (* (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)) (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2)))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -5/72 binary64) x) #s(literal 1/6 binary64)) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x))) (-.f64 x (.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) x)
(/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) #s(approx (- x (* (* x x) (+ (* (+ (* 1/24 x) 1/6) x) 1/2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) x)

Outputs
(/.f64 #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)) x)

Calls

2 calls:

6.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
69.8%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
69.8%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes8.0ms (0.3%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Counts

14 → 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))))
#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 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
#s(approx (/ (- (exp x) 1) x) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 x (.f64 #s(literal 1/24 binary64) x))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x)) x #s(literal 1 binary64)))
#s(approx (/ (- (exp x) 1) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
68.8%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
68.8%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes26.0ms (0.8%)

Memory

-30.2MiB live, 15.8MiB allocated; 3ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

Outputs
#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)))

Calls

2 calls:

19.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
67.6%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
67.6%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes14.0ms (0.4%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
6.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
66.7%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
66.7%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes11.0ms (0.4%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
5.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
68.0%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
68.0%	2	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes7.0ms (0.2%)

Memory

8.0MiB live, 8.0MiB 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))))
#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 (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)

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

Calls

2 calls:

4.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)

Results

Accuracy	Segments	Branch
64.0%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
64.0%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes46.0ms (1.4%)

Memory

-44.5MiB live, 8.3MiB allocated; 6ms 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))))
#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:

43.0ms	(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)
2.0ms	x

Results

Accuracy	Segments	Branch
63.8%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
63.8%	2	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
63.8%	2	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
63.8%	2	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes3.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
51.1%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
51.1%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes3.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Accuracy

Total -30.7b remaining (-97.8%)

Threshold costs -30.7b (-97.8%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
51.0%	1	`(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)`
51.0%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

bsearch15.0ms (0.5%)

Memory

22.0MiB live, 22.0MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
10.0ms	1.6652099532947026e+77	6.857446945415481e+83
3.0ms	1.7926811972272653e-16	7.002706677030114e-15

Samples

6.0ms

176×

valid

Compiler

Compiled 796 to 410 computations (48.5% saved)

Precisions

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

ival-div: 1.0ms (39.1% of total)

ival-expm1: 1.0ms (39.1% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch20.0ms (0.6%)

Memory

-22.9MiB live, 21.5MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.706837357538313e-6	996724830.1281787

Samples

6.0ms

160×

valid

Compiler

Compiled 439 to 347 computations (21% saved)

Precisions

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

ival-expm1: 2.0ms (69.8% of total)

ival-div: 1.0ms (34.9% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch7.0ms (0.2%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	4.706837357538313e-6	996724830.1281787

Samples

3.0ms

80×

valid

Compiler

Compiled 319 to 267 computations (16.3% saved)

Precisions

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

ival-div: 1.0ms (69.4% of total)

ival-expm1: 1.0ms (69.4% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch6.0ms (0.2%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	4.706837357538313e-6	996724830.1281787

Samples

2.0ms

64×

valid

Compiler

Compiled 309 to 257 computations (16.8% saved)

Precisions

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

ival-expm1: 1.0ms (88% of total)

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

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

adjust: 0.0ms (0% of total)

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

simplify65.0ms (2%)

Memory

-3.4MiB live, 87.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	332
1	104	332
2	181	332
3	421	332
4	1177	332
5	4324	332

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) x) (/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)))
(/.f64 #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)) x)
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
#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) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 x (.f64 #s(literal 1/24 binary64) x))) x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 4728779608739021/1125899906842624 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) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 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)))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #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))))
(if (<=.f64 x #s(literal 5/2 binary64)) #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))))
#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(literal 1 binary64))

Outputs
(/.f64 (expm1.f64 x) x)
(if (<=.f64 x #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (/ (- (exp x) 1) x) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (/.f64 #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (-.f64 x (.f64 (.f64 x x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))))) x) (/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)))
(/.f64 #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)) x)
(/.f64 #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 (.f64 x x) #s(literal 1/24 binary64))) x #s(literal 1 binary64)) x)) x)
#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) (fma.f64 #s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (.f64 x (.f64 #s(literal 1/24 binary64) x))) x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 4728779608739021/1125899906842624 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) #s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (.f64 (.f64 x x) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 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)))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) #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))))
(if (<=.f64 x #s(literal 5/2 binary64)) #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))))
#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(literal 1 binary64))

derivations379.0ms (11.8%)

Memory

-33.1MiB live, 399.0MiB allocated; 52ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 332 to 81 computations (75.6% saved)

preprocess72.0ms (2.2%)

Memory: 37.8MiB live, 129.5MiB allocated; 11ms collecting garbage
Compiler: Compiled 720 to 196 computations (72.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample601.0ms (18.7%)

explain65.0ms (2%)

preprocess719.0ms (22.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series3.0ms (0.1%)

rewrite239.0ms (7.4%)

eval12.0ms (0.4%)

prune5.0ms (0.2%)

series4.0ms (0.1%)

rewrite118.0ms (3.7%)

eval22.0ms (0.7%)

prune12.0ms (0.4%)

series8.0ms (0.2%)

rewrite175.0ms (5.4%)

eval77.0ms (2.4%)

prune22.0ms (0.7%)

series11.0ms (0.3%)

rewrite245.0ms (7.6%)

eval114.0ms (3.5%)

prune40.0ms (1.2%)

regimes13.0ms (0.4%)

regimes12.0ms (0.4%)

regimes12.0ms (0.4%)

regimes8.0ms (0.3%)

regimes26.0ms (0.8%)

regimes14.0ms (0.4%)

regimes11.0ms (0.4%)

regimes7.0ms (0.2%)

regimes46.0ms (1.4%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch15.0ms (0.5%)

bsearch20.0ms (0.6%)

bsearch7.0ms (0.2%)

bsearch6.0ms (0.2%)

simplify65.0ms (2%)

derivations379.0ms (11.8%)

preprocess72.0ms (2.2%)

end0.0ms (0%)

Profiling