Metrics for expq2 (section 3.11)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	75.2%	24.8%	0%	0%	0%	0
0%	0%	75.2%	24.8%	0%	0%	0%	1
50%	37.6%	37.6%	24.8%	0%	0%	0%	2
75%	56.4%	18.8%	24.8%	0%	0%	0%	3
87.5%	65.8%	9.4%	24.8%	0%	0%	0%	4
93.8%	70.5%	4.7%	24.8%	0%	0%	0%	5
96.9%	72.8%	2.3%	24.8%	0%	0%	0%	6
98.4%	74%	1.2%	24.8%	0%	0%	0%	7
99.2%	74.6%	0.6%	24.8%	0%	0%	0%	8
99.6%	74.9%	0.3%	24.8%	0%	0%	0%	9
99.8%	75%	0.1%	24.8%	0%	0%	0%	10
99.9%	75.1%	0.1%	24.8%	0%	0%	0%	11
100%	75.1%	0%	24.8%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample787.0ms (24.5%)

Memory

13.2MiB live, 514.7MiB allocated; 699ms collecting garbage

Samples

608.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 448.0ms

ival-expm1: 335.0ms (74.8% of total)

ival-exp: 68.0ms (15.2% of total)

ival-div!: 44.0ms (9.8% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain90.0ms (2.8%)

Memory

16.0MiB live, 68.2MiB allocated; 98ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
159	-	-	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	-	-	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
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	159	1

Confusion

	Predicted +	Predicted -
+	159	0
-	0	97

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	159	0	0
-	0	1	96

Precision?

0.99375

Recall?

1.0

Freqs

test

number	freq
0	97
1	159

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

53.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-exp: 36.0ms (85.4% of total)

ival-expm1: 3.0ms (7.1% of total)

ival-div!: 3.0ms (7.1% of total)

adjust: 0.0ms (0% of total)

preprocess28.0ms (0.9%)

Memory

-36.0MiB live, 11.1MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	24	26
2	75	26
3	243	26
4	1288	26

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.7%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

series3.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Counts

5 → 16

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite112.0ms (3.5%)

Memory

4.8MiB live, 95.2MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	209
0	68	209
1	373	209
0	3314	164

Stop Event

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

Counts

21 → 48

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 x)
x
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (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 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 (+.f64 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))
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) 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)
#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) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (expm1.f64 x))

eval6.0ms (0.2%)

Memory: 9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 785 to 184 computations (76.6% saved)

prune4.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	56	8	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	8	65

Accuracy

100.0%

Counts

65 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	97.4%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
▶	63.5%	(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
▶	100.0%	(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
▶	63.1%	#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
▶	63.3%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
▶	63.2%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
▶	63.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))

Compiler

Compiled 101 to 71 computations (29.7% saved)

series23.0ms (0.7%)

Memory

24.8MiB live, 24.8MiB allocated; 0ms collecting garbage

Counts

36 → 123

Calls

Call 1

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

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) 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 x #s(hole binary64 x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (+ 1/12 (* -1/720 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* -1/12 (pow x 2))) x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) 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 x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) #s(hole binary64 (/ 1 x)))
#s(approx (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ (cosh x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cosh x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* -1/2 x)) x)))
#s(approx (/ (cosh x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (- (* 7/12 x) 1/2))) x)))
#s(approx (/ (cosh x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (- (* x (+ 7/12 (* -1/4 x))) 1/2))) x)))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#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 (/ (sinh x) (- (exp x) 1)) #s(hole binary64 1))
#s(approx (/ (sinh x) (- (exp x) 1)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ (sinh x) (- (exp x) 1)) #s(hole binary64 (+ 1 (* x (- (* 1/4 x) 1/2)))))
#s(approx (/ (sinh x) (- (exp x) 1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/4 (* -1/12 x))) 1/2)))))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (* 2 x)) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) 1))) (* 1/2 (/ (- (exp x) (/ 1 (exp x))) (- (exp x) 1))))))
#s(approx (/ (cosh x) (- (exp x) 1)) #s(hole binary64 (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) 1)))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (/ (sinh x) (- (exp x) 1)) #s(hole binary64 (* 1/2 (/ (- (exp x) (/ 1 (exp x))) (- (exp x) 1)))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (neg (* -2 x))) 1))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (neg (* -2 x))) 1))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))

Calls

3 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 x 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 (/ (exp x) (- (exp x) 1)) (pow x -1) -1 (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (exp x) (- (exp (+ x x)) 1) (+ x x) (- (exp x) -1) (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) (/ (cosh x) (- (exp x) 1)) (cosh x) (- (exp x) 1) (/ (sinh x) (- (exp x) 1)) (sinh x) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (/ (exp x) (- (exp x) 1)))
7.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 x 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 (/ (exp x) (- (exp x) 1)) (pow x -1) -1 (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (exp x) (- (exp (+ x x)) 1) (+ x x) (- (exp x) -1) (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) (/ (cosh x) (- (exp x) 1)) (cosh x) (- (exp x) 1) (/ (sinh x) (- (exp x) 1)) (sinh x) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (/ (exp x) (- (exp x) 1)))
4.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 x 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 (/ (exp x) (- (exp x) 1)) (pow x -1) -1 (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (exp x) (- (exp (+ x x)) 1) (+ x x) (- (exp x) -1) (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) (/ (cosh x) (- (exp x) 1)) (cosh x) (- (exp x) 1) (/ (sinh x) (- (exp x) 1)) (sinh x) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (/ (exp x) (- (exp x) 1)))

Time

Variable

Point

Expression

9.0ms

-inf

((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 x 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 (/ (exp x) (- (exp x) 1)) (pow x -1) -1 (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (exp x) (- (exp (+ x x)) 1) (+ x x) (- (exp x) -1) (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) (/ (cosh x) (- (exp x) 1)) (cosh x) (- (exp x) 1) (/ (sinh x) (- (exp x) 1)) (sinh x) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (/ (exp x) (- (exp x) 1)))

7.0ms

inf

((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 x 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 (/ (exp x) (- (exp x) 1)) (pow x -1) -1 (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (exp x) (- (exp (+ x x)) 1) (+ x x) (- (exp x) -1) (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) (/ (cosh x) (- (exp x) 1)) (cosh x) (- (exp x) 1) (/ (sinh x) (- (exp x) 1)) (sinh x) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (/ (exp x) (- (exp x) 1)))

4.0ms

((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 x 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 (/ (exp x) (- (exp x) 1)) (pow x -1) -1 (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (exp x) (- (exp (+ x x)) 1) (+ x x) (- (exp x) -1) (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) (/ (cosh x) (- (exp x) 1)) (cosh x) (- (exp x) 1) (/ (sinh x) (- (exp x) 1)) (sinh x) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (/ (exp x) (- (exp x) 1)))

rewrite206.0ms (6.4%)

Memory

-10.0MiB live, 169.7MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	397	2299
0	441	2135
1	2006	2120
0	9121	2071

Stop Event

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

Counts

159 → 452

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal -1/720 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))
(exp.f64 x)
(expm1.f64 (+.f64 x x))
(+.f64 x x)
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(/.f64 (cosh.f64 x) (expm1.f64 x))
(cosh.f64 x)
(expm1.f64 x)
(/.f64 (sinh.f64 x) (expm1.f64 x))
(sinh.f64 x)
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
#s(approx (- (exp x) 1) x)
(/.f64 (exp.f64 x) (expm1.f64 x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) 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 x #s(hole binary64 x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (+ 1/12 (* -1/720 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* -1/12 (pow x 2))) x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) 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 x)) 1) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x)))))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) #s(hole binary64 (/ 1 x)))
#s(approx (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ (cosh x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cosh x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* -1/2 x)) x)))
#s(approx (/ (cosh x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (- (* 7/12 x) 1/2))) x)))
#s(approx (/ (cosh x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (- (* x (+ 7/12 (* -1/4 x))) 1/2))) x)))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#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 (/ (sinh x) (- (exp x) 1)) #s(hole binary64 1))
#s(approx (/ (sinh x) (- (exp x) 1)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ (sinh x) (- (exp x) 1)) #s(hole binary64 (+ 1 (* x (- (* 1/4 x) 1/2)))))
#s(approx (/ (sinh x) (- (exp x) 1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/4 (* -1/12 x))) 1/2)))))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (* 2 x)) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) #s(hole binary64 (+ (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) 1))) (* 1/2 (/ (- (exp x) (/ 1 (exp x))) (- (exp x) 1))))))
#s(approx (/ (cosh x) (- (exp x) 1)) #s(hole binary64 (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) (- (exp x) 1)))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (/ (sinh x) (- (exp x) 1)) #s(hole binary64 (* 1/2 (/ (- (exp x) (/ 1 (exp x))) (- (exp x) 1)))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (neg (* -2 x))) 1))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (neg (* -2 x))) 1))))
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1)))

Outputs
#s(approx (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) x) (/.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (pow.f64 x #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) x) (/.f64 (.f64 #s(literal 1/2 binary64) x) x)) (.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 x) (.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 x #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) x))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (pow.f64 x #s(literal -1 binary64)))
(+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(*.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 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x (pow.f64 x #s(literal -1 binary64))) (.f64 x (pow.f64 x #s(literal -1 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (pow.f64 x #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (pow.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (pow.f64 x #s(literal -1 binary64))))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))) (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (pow.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
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(/.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (sinh.f64 x) (expm1.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(sinh.f64 x)
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (neg.f64 #s(approx (- (exp x) 1) x))))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 #s(approx (- (exp x) 1) x)))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
(+.f64 (/.f64 (cosh.f64 x) #s(approx (- (exp x) 1) x)) (/.f64 (sinh.f64 x) #s(approx (- (exp x) 1) x)))
#s(approx (- (exp x) 1) x)
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(/.f64 (+.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x))) (neg.f64 (expm1.f64 x)))
(/.f64 (+.f64 (sinh.f64 x) (cosh.f64 x)) (expm1.f64 x))
(/.f64 (+.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 (neg.f64 x))) (neg.f64 (expm1.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))))
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(/.f64 (neg.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (*.f64 (expm1.f64 x) (sinh.f64 x)))) (neg.f64 (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)) (*.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (cosh.f64 x)))) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (expm1.f64 x) (.f64 (neg.f64 (expm1.f64 x)) (cosh.f64 x))) (.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (fma.f64 (sinh.f64 x) (neg.f64 (expm1.f64 x)) (.f64 (expm1.f64 x) (neg.f64 (cosh.f64 x)))) (.f64 (expm1.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 (fma.f64 (sinh.f64 x) (expm1.f64 x) (*.f64 (expm1.f64 x) (cosh.f64 x))) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (expm1.f64 x)) (*.f64 (neg.f64 (expm1.f64 x)) (sinh.f64 (neg.f64 x)))) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (cosh.f64 x)) (expm1.f64 x) (.f64 (neg.f64 (expm1.f64 x)) (sinh.f64 x))) (.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (fma.f64 (cosh.f64 x) (neg.f64 (expm1.f64 x)) (.f64 (expm1.f64 x) (sinh.f64 (neg.f64 x)))) (.f64 (expm1.f64 x) (neg.f64 (expm1.f64 x))))
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(/.f64 (+.f64 (pow.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) #s(literal 2 binary64)) (/.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (*.f64 (expm1.f64 x) (sinh.f64 x))) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(-.f64 (/.f64 (pow.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))) (/.f64 (pow.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))))
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(+.f64 (/.f64 (.f64 (cosh.f64 x) (expm1.f64 x)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 (expm1.f64 x) (sinh.f64 x)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))))
(+.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
#s(approx (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) (pow.f64 x #s(literal -1 binary64)))
#s(approx (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (+ (* 1/2 x) 1) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (+ (* 1/2 x) 1) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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 x x)
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* 1/12 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/12 x) 1/2) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* (* x x) -1/720) 1/12) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (pow x -1) (pow.f64 x #s(literal -1 binary64)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 7/720 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -31/30240 binary64) (.f64 x x) #s(literal 7/720 binary64)) (.f64 x x)) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (- (exp (+ x x)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- (exp x) -1) (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 2 binary64)))
#s(approx (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) (pow.f64 x #s(literal -1 binary64)))
#s(approx (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (cosh x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (cosh x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (cosh x) (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 7/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (cosh x) (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 7/12 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x 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 (/ (sinh x) (- (exp x) 1)) #s(literal 1 binary64))
#s(approx (/ (sinh x) (- (exp x) 1)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (sinh x) (- (exp x) 1)) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (sinh x) (- (exp x) 1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sinh x) x)
#s(approx (sinh x) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))
#s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64)) x))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64)) (.f64 x x)))
#s(approx (+ (* 1/12 x) 1/2) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* 1/12 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* x x) -1/720) 1/12) (.f64 (.f64 x x) #s(literal -1/720 binary64)))
#s(approx (+ (* (* x x) -1/720) 1/12) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (*.f64 x x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 2 binary64) x))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (exp x) -1) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
#s(approx (+ (/ (cosh x) (- (exp x) 1)) (/ (sinh x) (- (exp x) 1))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (expm1.f64 x))))
#s(approx (/ (cosh x) (- (exp x) 1)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)) (expm1.f64 x)))
#s(approx (cosh x) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (/ (sinh x) (- (exp x) 1)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)) (expm1.f64 x)))
#s(approx (sinh x) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64)) x)))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (neg.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (neg.f64 (.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/720 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (neg.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 2 binary64) x))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))

eval64.0ms (2%)

Memory: -19.2MiB live, 78.3MiB allocated; 14ms collecting garbage
Compiler: Compiled 12 652 to 1 926 computations (84.8% saved)

prune15.0ms (0.5%)

Memory

25.9MiB live, 25.9MiB allocated; 0ms collecting garbage

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	506	12	518
Fresh	0	0	0
Picked	3	5	8
Done	0	0	0
Total	509	17	526

Accuracy

100.0%

Counts

526 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	97.4%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
▶	62.2%	(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) x))
▶	63.1%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
▶	63.2%	(.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -31/30240 binary64) (.f64 x x) #s(literal 7/720 binary64)) (.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
▶	36.8%	#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
✓	63.3%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	63.2%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
▶	33.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x (.f64 x #s(literal 1 binary64))) (.f64 x x)))
▶	33.6%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x (.f64 x #s(literal 1 binary64))) (*.f64 x x)))
▶	63.2%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* 1/12 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x)) x #s(literal 1 binary64)) x))
✓	63.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
▶	63.3%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x)))
▶	33.5%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64)) x)))
▶	3.4%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
▶	63.1%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
▶	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))

Compiler

Compiled 332 to 229 computations (31% saved)

series23.0ms (0.7%)

Memory

-20.2MiB live, 26.0MiB allocated; 3ms collecting garbage

Counts

65 → 205

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64)) x))
(*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64)) x)
(+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x)))
(+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x))
(/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal -1/720 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* 1/12 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(approx (+ (* 1/12 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x)) x #s(literal 1 binary64)) x)
(fma.f64 #s(approx (+ (* 1/12 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x)) x #s(literal 1 binary64))
#s(approx (+ (* 1/12 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x)
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64))
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x (.f64 x #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x (.f64 x #s(literal 1 binary64))) (*.f64 x x))
(fma.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x (.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(*.f64 x #s(literal 1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x (.f64 x #s(literal 1 binary64))) (.f64 x x)))
(/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x (.f64 x #s(literal 1 binary64))) (.f64 x x))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x (*.f64 x #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -31/30240 binary64) (.f64 x x) #s(literal 7/720 binary64)) (.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -31/30240 binary64) (.f64 x x) #s(literal 7/720 binary64)) (.f64 x x)) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -31/30240 binary64) (.f64 x x) #s(literal 7/720 binary64)) (.f64 x x)) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -31/30240 binary64) (.f64 x x) #s(literal 7/720 binary64)) (.f64 x x)) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -31/30240 binary64) (.f64 x x) #s(literal 7/720 binary64)) (*.f64 x x)) #s(literal 1/12 binary64))
(.f64 (fma.f64 #s(literal -31/30240 binary64) (.f64 x x) #s(literal 7/720 binary64)) (*.f64 x x))
(fma.f64 #s(literal -31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64))
#s(literal -31/30240 binary64)
#s(literal 7/720 binary64)
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(exp.f64 x)
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (- (exp x) 1) x)
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) x))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (+ (pow x -1) 1/2) #s(hole binary64 (/ 1 x)))
#s(approx (+ (pow x -1) 1/2) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (* 1/12 x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) #s(hole binary64 (/ 1 x)))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (+ (pow x -2) (/ 1/2 x)) 1/12) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (+ (+ (pow x -2) (/ 1/2 x)) 1/12) #s(hole binary64 (/ (+ 1 (* 1/2 x)) (pow x 2))))
#s(approx (+ (+ (pow x -2) (/ 1/2 x)) 1/12) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) (pow x 2))))
#s(approx (+ (pow x -2) (/ 1/2 x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (+ (pow x -2) (/ 1/2 x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (/ 1 x)))
#s(approx (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 1/2))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/12 x)))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (+ 1/12 (* -1/720 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (* (+ (/ 1/2 x) 1/12) x) #s(hole binary64 1/2))
#s(approx (* (+ (/ 1/2 x) 1/12) x) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (+ (/ 1/2 x) 1/12) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) 1/12) #s(hole binary64 (/ (+ 1/2 (* 1/12 x)) x)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/12 x)))))))
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/12 x)))))
#s(approx (* x 1) #s(hole binary64 x))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/12 x)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))))))
#s(approx (pow (* x x) -1/2) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* -1/12 (pow x 2))) x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) x)))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* -1/12 (pow x 2))) x)))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x)))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) x)))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/12 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12)))))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12)))))
#s(approx (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) #s(hole binary64 -1/12))
#s(approx (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) #s(hole binary64 (- (* 7/720 (pow x 2)) 1/12)))
#s(approx (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) #s(hole binary64 (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12)))
#s(approx (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) #s(hole binary64 (* 7/720 (pow x 2))))
#s(approx (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) #s(hole binary64 (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2))))))
#s(approx (+ (* -31/30240 (* x x)) 7/720) #s(hole binary64 7/720))
#s(approx (+ (* -31/30240 (* x x)) 7/720) #s(hole binary64 (+ 7/720 (* -31/30240 (pow x 2)))))
#s(approx (- (exp x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (exp x) 1) #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 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (+ (pow x -1) 1/2) #s(hole binary64 1/2))
#s(approx (+ (pow x -1) 1/2) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (+ (pow x -2) (/ 1/2 x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (+ (pow x -2) (/ 1/2 x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/2 (/ 1 x)))))
#s(approx (+ (+ (pow x -2) (/ 1/2 x)) 1/12) #s(hole binary64 (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
#s(approx (+ (pow x -2) (/ 1/2 x)) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ (pow x -2) (/ 1/2 x)) #s(hole binary64 (/ (+ 1/2 (/ 1 x)) x)))
#s(approx (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (/ 1/2 x) 1/12) x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (+ (/ 1/2 x) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (/ 1/2 x) 1/12) #s(hole binary64 1/12))
#s(approx (+ (/ 1/2 x) 1/12) #s(hole binary64 (+ 1/12 (* 1/2 (/ 1 x)))))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) #s(hole binary64 (* (pow x 3) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) #s(hole binary64 (* (pow x 3) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* -1/720 (pow x 5))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* (pow x 5) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* (pow x 5) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* (pow x 5) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (* 2 x)) 1))))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) #s(hole binary64 (* -31/30240 (pow x 5))))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 7/720 (/ 1 (pow x 2))) 31/30240))))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 7/720 (/ 1 (pow x 2))) (+ 31/30240 (/ 1/12 (pow x 4)))))))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- (+ (* 7/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 31/30240 (/ 1/12 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) #s(hole binary64 (* -31/30240 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (* 7/720 (/ 1 (pow x 2))) 31/30240))))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (* 7/720 (/ 1 (pow x 2))) (+ 31/30240 (/ 1/12 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 7/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 31/30240 (/ 1/12 (pow x 4)))))))
#s(approx (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) #s(hole binary64 (* -31/30240 (pow x 4))))
#s(approx (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (- (* 7/720 (/ 1 (pow x 2))) 31/30240))))
#s(approx (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (- (* 7/720 (/ 1 (pow x 2))) (+ 31/30240 (/ 1/12 (pow x 4)))))))
#s(approx (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) #s(hole binary64 (* -31/30240 (pow x 4))))
#s(approx (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 7/720 (/ 1 (pow x 2))) 31/30240))))
#s(approx (+ (* -31/30240 (* x x)) 7/720) #s(hole binary64 (* -31/30240 (pow x 2))))
#s(approx (+ (* -31/30240 (* x x)) 7/720) #s(hole binary64 (* (pow x 2) (- (* 7/720 (/ 1 (pow x 2))) 31/30240))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* -1 (* (pow x 5) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* -1 (* (pow x 5) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (pow (* x x) -1/2) #s(hole binary64 (/ -1 x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (neg (* -2 x))) 1))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (neg (* -2 x))) 1))))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- 31/30240 (* 7/720 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 31/30240 (/ 1/12 (pow x 4))) (* 7/720 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 31/30240 (/ 1/12 (pow x 4))) (+ (* 7/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (pow x -1) 1/2) (pow x -1) x -1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) (+ (+ (pow x -2) (/ 1/2 x)) 1/12) (+ (pow x -2) (/ 1/2 x)) (pow x -2) -2 (/ 1/2 x) (/ (exp x) (- (exp x) 1)) (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) (* (+ (/ 1/2 x) 1/12) x) (+ (/ 1/2 x) 1/12) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* (+ (* 1/12 x) 1/2) x) (+ (* 1/12 x) 1/2) (* x 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (/ (exp x) (- (exp x) 1)) (pow (* x x) -1/2) -1/2 (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) (+ (* -31/30240 (* x x)) 7/720) -31/30240 7/720 (- (exp x) -1) (exp x) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x) (+ 1 x))
6.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (pow x -1) 1/2) (pow x -1) x -1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) (+ (+ (pow x -2) (/ 1/2 x)) 1/12) (+ (pow x -2) (/ 1/2 x)) (pow x -2) -2 (/ 1/2 x) (/ (exp x) (- (exp x) 1)) (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) (* (+ (/ 1/2 x) 1/12) x) (+ (/ 1/2 x) 1/12) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* (+ (* 1/12 x) 1/2) x) (+ (* 1/12 x) 1/2) (* x 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (/ (exp x) (- (exp x) 1)) (pow (* x x) -1/2) -1/2 (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) (+ (* -31/30240 (* x x)) 7/720) -31/30240 7/720 (- (exp x) -1) (exp x) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x) (+ 1 x))
4.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (pow x -1) 1/2) (pow x -1) x -1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) (+ (+ (pow x -2) (/ 1/2 x)) 1/12) (+ (pow x -2) (/ 1/2 x)) (pow x -2) -2 (/ 1/2 x) (/ (exp x) (- (exp x) 1)) (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) (* (+ (/ 1/2 x) 1/12) x) (+ (/ 1/2 x) 1/12) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* (+ (* 1/12 x) 1/2) x) (+ (* 1/12 x) 1/2) (* x 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (/ (exp x) (- (exp x) 1)) (pow (* x x) -1/2) -1/2 (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) (+ (* -31/30240 (* x x)) 7/720) -31/30240 7/720 (- (exp x) -1) (exp x) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x) (+ 1 x))

Time

Variable

Point

Expression

8.0ms

-inf

((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (pow x -1) 1/2) (pow x -1) x -1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) (+ (+ (pow x -2) (/ 1/2 x)) 1/12) (+ (pow x -2) (/ 1/2 x)) (pow x -2) -2 (/ 1/2 x) (/ (exp x) (- (exp x) 1)) (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) (* (+ (/ 1/2 x) 1/12) x) (+ (/ 1/2 x) 1/12) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* (+ (* 1/12 x) 1/2) x) (+ (* 1/12 x) 1/2) (* x 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (/ (exp x) (- (exp x) 1)) (pow (* x x) -1/2) -1/2 (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) (+ (* -31/30240 (* x x)) 7/720) -31/30240 7/720 (- (exp x) -1) (exp x) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x) (+ 1 x))

6.0ms

inf

((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (pow x -1) 1/2) (pow x -1) x -1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) (+ (+ (pow x -2) (/ 1/2 x)) 1/12) (+ (pow x -2) (/ 1/2 x)) (pow x -2) -2 (/ 1/2 x) (/ (exp x) (- (exp x) 1)) (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) (* (+ (/ 1/2 x) 1/12) x) (+ (/ 1/2 x) 1/12) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* (+ (* 1/12 x) 1/2) x) (+ (* 1/12 x) 1/2) (* x 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (/ (exp x) (- (exp x) 1)) (pow (* x x) -1/2) -1/2 (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) (+ (* -31/30240 (* x x)) 7/720) -31/30240 7/720 (- (exp x) -1) (exp x) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x) (+ 1 x))

4.0ms

((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (pow x -1) 1/2) (pow x -1) x -1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) (+ (+ (pow x -2) (/ 1/2 x)) 1/12) (+ (pow x -2) (/ 1/2 x)) (pow x -2) -2 (/ 1/2 x) (/ (exp x) (- (exp x) 1)) (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) (* (+ (/ 1/2 x) 1/12) x) (+ (/ 1/2 x) 1/12) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* (+ (* 1/12 x) 1/2) x) (+ (* 1/12 x) 1/2) (* x 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (/ (exp x) (- (exp x) 1)) (pow (* x x) -1/2) -1/2 (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) (+ (* -31/30240 (* x x)) 7/720) -31/30240 7/720 (- (exp x) -1) (exp x) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x) (+ 1 x))

rewrite205.0ms (6.4%)

Memory

35.1MiB live, 211.6MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	492	5035
0	567	4625
1	2057	4614
0	8218	4410

Stop Event

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

Counts

270 → 938

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64)) x))
(*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64)) x)
(+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x)))
(+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x))
(/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal -1/720 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* 1/12 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x)) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(approx (+ (* 1/12 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x)) x #s(literal 1 binary64)) x)
(fma.f64 #s(approx (+ (* 1/12 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x)) x #s(literal 1 binary64))
#s(approx (+ (* 1/12 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x)
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64))
#s(literal 1 binary64)
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(*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(*.f64 x #s(literal 1 binary64))
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(/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x (.f64 x #s(literal 1 binary64))) (.f64 x x))
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(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
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(/.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -31/30240 binary64) (.f64 x x) #s(literal 7/720 binary64)) (.f64 x x)) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x)
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(.f64 (fma.f64 #s(literal -31/30240 binary64) (.f64 x x) #s(literal 7/720 binary64)) (*.f64 x x))
(fma.f64 #s(literal -31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64))
#s(literal -31/30240 binary64)
#s(literal 7/720 binary64)
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(exp.f64 x)
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (- (exp x) 1) x)
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#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (+ (pow x -1) 1/2) #s(hole binary64 (/ 1 x)))
#s(approx (+ (pow x -1) 1/2) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (* 1/12 x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) #s(hole binary64 (/ 1 x)))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (+ (pow x -2) (/ 1/2 x)) 1/12) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (+ (+ (pow x -2) (/ 1/2 x)) 1/12) #s(hole binary64 (/ (+ 1 (* 1/2 x)) (pow x 2))))
#s(approx (+ (+ (pow x -2) (/ 1/2 x)) 1/12) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) (pow x 2))))
#s(approx (+ (pow x -2) (/ 1/2 x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (+ (pow x -2) (/ 1/2 x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (/ 1 x)))
#s(approx (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
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#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 1/2))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/12 x)))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (+ 1/12 (* -1/720 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (* (+ (/ 1/2 x) 1/12) x) #s(hole binary64 1/2))
#s(approx (* (+ (/ 1/2 x) 1/12) x) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (+ (/ 1/2 x) 1/12) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) 1/12) #s(hole binary64 (/ (+ 1/2 (* 1/12 x)) x)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/12 x)))))))
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/12 x)))))
#s(approx (* x 1) #s(hole binary64 x))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/12 x)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))))))
#s(approx (pow (* x x) -1/2) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* -1/12 (pow x 2))) x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) x)))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* -1/12 (pow x 2))) x)))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x)))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) x)))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/12 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12)))))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12)))))
#s(approx (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) #s(hole binary64 -1/12))
#s(approx (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) #s(hole binary64 (- (* 7/720 (pow x 2)) 1/12)))
#s(approx (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) #s(hole binary64 (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12)))
#s(approx (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) #s(hole binary64 (* 7/720 (pow x 2))))
#s(approx (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) #s(hole binary64 (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2))))))
#s(approx (+ (* -31/30240 (* x x)) 7/720) #s(hole binary64 7/720))
#s(approx (+ (* -31/30240 (* x x)) 7/720) #s(hole binary64 (+ 7/720 (* -31/30240 (pow x 2)))))
#s(approx (- (exp x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (exp x) 1) #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 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (+ (pow x -1) 1/2) #s(hole binary64 1/2))
#s(approx (+ (pow x -1) 1/2) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (+ (pow x -2) (/ 1/2 x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (+ (pow x -2) (/ 1/2 x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/2 (/ 1 x)))))
#s(approx (+ (+ (pow x -2) (/ 1/2 x)) 1/12) #s(hole binary64 (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
#s(approx (+ (pow x -2) (/ 1/2 x)) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ (pow x -2) (/ 1/2 x)) #s(hole binary64 (/ (+ 1/2 (/ 1 x)) x)))
#s(approx (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (/ 1/2 x) 1/12) x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (+ (/ 1/2 x) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (/ 1/2 x) 1/12) #s(hole binary64 1/12))
#s(approx (+ (/ 1/2 x) 1/12) #s(hole binary64 (+ 1/12 (* 1/2 (/ 1 x)))))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) #s(hole binary64 (* (pow x 3) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) #s(hole binary64 (* (pow x 3) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* -1/720 (pow x 5))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* (pow x 5) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* (pow x 5) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* (pow x 5) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (* 2 x)) 1))))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) #s(hole binary64 (* -31/30240 (pow x 5))))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 7/720 (/ 1 (pow x 2))) 31/30240))))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 7/720 (/ 1 (pow x 2))) (+ 31/30240 (/ 1/12 (pow x 4)))))))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- (+ (* 7/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 31/30240 (/ 1/12 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) #s(hole binary64 (* -31/30240 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (* 7/720 (/ 1 (pow x 2))) 31/30240))))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (* 7/720 (/ 1 (pow x 2))) (+ 31/30240 (/ 1/12 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 7/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 31/30240 (/ 1/12 (pow x 4)))))))
#s(approx (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) #s(hole binary64 (* -31/30240 (pow x 4))))
#s(approx (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (- (* 7/720 (/ 1 (pow x 2))) 31/30240))))
#s(approx (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (- (* 7/720 (/ 1 (pow x 2))) (+ 31/30240 (/ 1/12 (pow x 4)))))))
#s(approx (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) #s(hole binary64 (* -31/30240 (pow x 4))))
#s(approx (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 7/720 (/ 1 (pow x 2))) 31/30240))))
#s(approx (+ (* -31/30240 (* x x)) 7/720) #s(hole binary64 (* -31/30240 (pow x 2))))
#s(approx (+ (* -31/30240 (* x x)) 7/720) #s(hole binary64 (* (pow x 2) (- (* 7/720 (/ 1 (pow x 2))) 31/30240))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (+ (pow x -1) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* -1 (* (pow x 5) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* -1 (* (pow x 5) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (pow (* x x) -1/2) #s(hole binary64 (/ -1 x)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (neg (* -2 x))) 1))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (neg (* -2 x))) 1))))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- 31/30240 (* 7/720 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 31/30240 (/ 1/12 (pow x 4))) (* 7/720 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 31/30240 (/ 1/12 (pow x 4))) (+ (* 7/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))))

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.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 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x))))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal -1 binary64))))
(+.f64 (cosh.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
x
#s(literal -1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal -2 binary64))) x)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal -2 binary64))) x))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal -2 binary64))) x)
(*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -2 binary64))) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -2 binary64))) x) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -2 binary64))) x)) (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -2 binary64))) x)))))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -2 binary64)))) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -2 binary64))))) (.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -2 binary64))))))))
(fma.f64 #s(literal 1/12 binary64) x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -2 binary64))) x))
(fma.f64 #s(literal 1/12 binary64) x (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 x #s(literal 1/12 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -2 binary64))) x))
(fma.f64 x #s(literal 1/12 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -2 binary64))) x))
(+.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -2 binary64)))))
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#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 7/720 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -31/30240 binary64) (.f64 x x) #s(literal 7/720 binary64)) x) x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 7/720 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) (/.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -31/30240 binary64) (.f64 x x) #s(literal 7/720 binary64)) x) x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 7/720 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -31/30240 binary64) (.f64 x x) #s(literal 7/720 binary64)) x) x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) #s(literal -1/12 binary64))
#s(approx (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (-.f64 (.f64 #s(literal 7/720 binary64) (.f64 x x)) #s(literal 1/12 binary64)))
#s(approx (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64)) x) x) #s(literal 1/12 binary64)))
#s(approx (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) (.f64 #s(literal 7/720 binary64) (.f64 x x)))
#s(approx (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) (.f64 (.f64 (fma.f64 #s(literal -31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64)) x) x))
#s(approx (+ (* -31/30240 (* x x)) 7/720) #s(literal 7/720 binary64))
#s(approx (+ (* -31/30240 (* x x)) 7/720) (fma.f64 #s(literal -31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64)))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- (exp x) -1) (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 2 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#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)
#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 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))
#s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (pow x -1) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (pow x -1) 1/2) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (+ (+ (pow x -2) (/ 1/2 x)) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (+ (pow x -2) (/ 1/2 x)) 1/12) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)))
#s(approx (+ (+ (pow x -2) (/ 1/2 x)) 1/12) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal -2 binary64))))
#s(approx (+ (pow x -2) (/ 1/2 x)) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (pow x -2) (/ 1/2 x)) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* x x) -1/720) 1/12) (.f64 #s(literal -1/720 binary64) (.f64 x x)))
#s(approx (+ (* (* x x) -1/720) 1/12) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal -2 binary64))) (.f64 x x)))
#s(approx (+ (* 1/12 x) 1/2) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* 1/12 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x))
#s(approx (* (+ (/ 1/2 x) 1/12) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (* (+ (/ 1/2 x) 1/12) x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x))
#s(approx (+ (/ 1/2 x) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (/ 1/2 x) 1/12) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64))))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (* (+ (* 1/12 x) 1/2) x) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (* (+ (* 1/12 x) 1/2) x) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) (.f64 x x)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/720 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/720 binary64)))))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 2 binary64) x))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -31/30240 binary64)))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) (.f64 (-.f64 (.f64 #s(literal 7/720 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 31/30240 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) (.f64 (-.f64 (-.f64 (.f64 #s(literal 7/720 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 31/30240 binary64)) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) (.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 7/720 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 31/30240 binary64)) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -31/30240 binary64)))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 7/720 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 31/30240 binary64))))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (.f64 #s(literal 7/720 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 31/30240 binary64)) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 7/720 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 31/30240 binary64)) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -31/30240 binary64)))
#s(approx (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (.f64 (-.f64 (.f64 #s(literal 7/720 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 31/30240 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (.f64 (-.f64 (-.f64 (.f64 #s(literal 7/720 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 31/30240 binary64)) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -31/30240 binary64)))
#s(approx (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) (.f64 (-.f64 (.f64 #s(literal 7/720 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 31/30240 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* -31/30240 (* x x)) 7/720) (.f64 #s(literal -31/30240 binary64) (.f64 x x)))
#s(approx (+ (* -31/30240 (* x x)) 7/720) (.f64 (-.f64 (.f64 #s(literal 7/720 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 31/30240 binary64)) (*.f64 x x)))
#s(approx (- (exp x) -1) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64)) x)))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64)) x)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (neg.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (neg.f64 (.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/720 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (neg.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (neg.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (* x x)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64)) x)))
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) (* x 1)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (neg.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (neg.f64 (.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/720 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (neg.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (neg.f64 (.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/720 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (pow x -1) (/.f64 #s(literal -1 binary64) x))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 2 binary64) x))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) (neg.f64 (.f64 (-.f64 #s(literal 31/30240 binary64) (.f64 #s(literal 7/720 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) (neg.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 31/30240 binary64)) (.f64 #s(literal 7/720 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (/ (+ (* (- (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) 1/12) (* x x)) 1/2) x) (neg.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 31/30240 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 7/720 binary64) (pow.f64 x #s(literal -2 binary64))))) (pow.f64 x #s(literal 5 binary64)))))

eval151.0ms (4.7%)

Memory: -11.3MiB live, 237.2MiB allocated; 52ms collecting garbage
Compiler: Compiled 40 261 to 4 803 computations (88.1% saved)

prune34.0ms (1.1%)

Memory

2.2MiB live, 59.8MiB allocated; 14ms collecting garbage

Pruning

20 alts after pruning (10 fresh and 10 done)

	Pruned	Kept	Total
New	1 138	10	1 148
Fresh	0	0	0
Picked	7	5	12
Done	0	5	5
Total	1 145	20	1 165

Accuracy

100.0%

Counts

1 165 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	97.4%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
✓	62.2%	(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) x))
▶	3.5%	(/.f64 #s(approx (exp x) #s(approx (+ 1 x) x)) #s(approx (- (exp x) 1) x))
▶	89.7%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)))
▶	87.1%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)))
▶	81.9%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
✓	63.1%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
✓	63.2%	(.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -31/30240 binary64) (.f64 x x) #s(literal 7/720 binary64)) (.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
✓	63.3%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
▶	33.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) (.f64 x x) x) (*.f64 x x)))
▶	33.6%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (.f64 x x) x) (.f64 x x)))
✓	63.2%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	63.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
▶	52.4%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) x) (*.f64 x x)))
▶	63.3%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x)))
▶	33.4%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 (+.f64 #s(approx (+ (pow x -2) (/ 1/2 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (.f64 x x))) #s(literal 1/12 binary64)) x)))
✓	3.4%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
▶	63.1%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
✓	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))

Compiler

Compiled 403 to 269 computations (33.3% saved)

series19.0ms (0.6%)

Memory

-17.6MiB live, 28.8MiB allocated; 4ms collecting garbage

Counts

56 → 223

Calls

Call 1

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

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (+ (/ 1 x) 1/2) #s(hole binary64 (/ 1 x)))
#s(approx (+ (/ 1 x) 1/2) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) #s(hole binary64 (/ 1 x)))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (+ (pow x -2) (/ 1/2 x)) 1/12) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (+ (+ (pow x -2) (/ 1/2 x)) 1/12) #s(hole binary64 (/ (+ 1 (* 1/2 x)) (pow x 2))))
#s(approx (+ (+ (pow x -2) (/ 1/2 x)) 1/12) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) (pow x 2))))
#s(approx (+ (pow x -2) (/ 1/2 x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (+ (pow x -2) (/ 1/2 x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) (pow x 2))))
#s(approx (/ (+ (* 1/2 x) 1) (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (+ (* 1/2 x) 1) (* x x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) (pow x 2))))
#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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (/ 1 x) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (/ 1 x)))
#s(approx (+ (/ 1 x) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (+ (/ 1 x) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (/ 1 x) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 1/2))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/12 x)))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (+ 1/12 (* -1/720 (pow x 2)))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 x))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/12 x)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/12 x)))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/12 x)))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))
#s(approx (+ (* -1/720 (* x x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* -1/720 (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* -1/720 (pow x 2)))))
#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) #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 (* (+ (* 1/2 x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* 1/2 x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x))))))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x))))
#s(approx (* (+ (* (+ (* (+ (* 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 (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (+ (/ 1 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ 1 x) 1/2) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (+ (pow x -2) (/ 1/2 x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (+ (pow x -2) (/ 1/2 x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/2 (/ 1 x)))))
#s(approx (+ (+ (pow x -2) (/ 1/2 x)) 1/12) #s(hole binary64 (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
#s(approx (+ (pow x -2) (/ 1/2 x)) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ (pow x -2) (/ 1/2 x)) #s(hole binary64 (/ (+ 1/2 (/ 1 x)) x)))
#s(approx (/ (+ (* 1/2 x) 1) (* x x)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ (* 1/2 x) 1) (* x x)) #s(hole binary64 (/ (+ 1/2 (/ 1 x)) x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (/ 1 x) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (+ (/ 1 x) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (/ 1 x) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (/ 1 x) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* -1/720 (pow x 5))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* (pow x 5) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* (pow x 5) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* (pow x 5) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) #s(hole binary64 (* -1/720 (pow x 5))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 5) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 5) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 5) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* -1/720 (* x x)) 1/12) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* -1/720 (* x x)) 1/12) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (* (+ (* 1/2 x) 1) x) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (+ (* 1/2 x) 1) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#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 (* (+ (* (+ (* (+ (* 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 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (+ (/ 1 x) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (/ 1 x) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (+ (/ 1 x) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* -1 (* (pow x 5) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* -1 (* (pow x 5) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))))
#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
7.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (/ 1 x) 1/2) (/ 1 x) 1 x 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) (+ (+ (pow x -2) (/ 1/2 x)) 1/12) (+ (pow x -2) (/ 1/2 x)) (/ (+ (* 1/2 x) 1) (* x x)) (+ (* 1/2 x) 1) (* x x) 1/12 (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) -1/720 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (+ (* 1/12 x) 1/2) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (+ (* -1/720 (* x x)) 1/12) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (/ (exp x) (- (exp x) 1)) (- (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 (/ (exp x) (- (exp x) 1)) (exp x) (+ 1 x) (- (exp x) 1))
5.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (/ 1 x) 1/2) (/ 1 x) 1 x 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) (+ (+ (pow x -2) (/ 1/2 x)) 1/12) (+ (pow x -2) (/ 1/2 x)) (/ (+ (* 1/2 x) 1) (* x x)) (+ (* 1/2 x) 1) (* x x) 1/12 (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) -1/720 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (+ (* 1/12 x) 1/2) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (+ (* -1/720 (* x x)) 1/12) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (/ (exp x) (- (exp x) 1)) (- (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 (/ (exp x) (- (exp x) 1)) (exp x) (+ 1 x) (- (exp x) 1))
3.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (/ 1 x) 1/2) (/ 1 x) 1 x 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) (+ (+ (pow x -2) (/ 1/2 x)) 1/12) (+ (pow x -2) (/ 1/2 x)) (/ (+ (* 1/2 x) 1) (* x x)) (+ (* 1/2 x) 1) (* x x) 1/12 (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) -1/720 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (+ (* 1/12 x) 1/2) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (+ (* -1/720 (* x x)) 1/12) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (/ (exp x) (- (exp x) 1)) (- (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 (/ (exp x) (- (exp x) 1)) (exp x) (+ 1 x) (- (exp x) 1))

Time

Variable

Point

Expression

7.0ms

inf

((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (/ 1 x) 1/2) (/ 1 x) 1 x 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) (+ (+ (pow x -2) (/ 1/2 x)) 1/12) (+ (pow x -2) (/ 1/2 x)) (/ (+ (* 1/2 x) 1) (* x x)) (+ (* 1/2 x) 1) (* x x) 1/12 (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) -1/720 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (+ (* 1/12 x) 1/2) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (+ (* -1/720 (* x x)) 1/12) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (/ (exp x) (- (exp x) 1)) (- (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 (/ (exp x) (- (exp x) 1)) (exp x) (+ 1 x) (- (exp x) 1))

5.0ms

-inf

((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (/ 1 x) 1/2) (/ 1 x) 1 x 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) (+ (+ (pow x -2) (/ 1/2 x)) 1/12) (+ (pow x -2) (/ 1/2 x)) (/ (+ (* 1/2 x) 1) (* x x)) (+ (* 1/2 x) 1) (* x x) 1/12 (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) -1/720 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (+ (* 1/12 x) 1/2) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (+ (* -1/720 (* x x)) 1/12) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (/ (exp x) (- (exp x) 1)) (- (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 (/ (exp x) (- (exp x) 1)) (exp x) (+ 1 x) (- (exp x) 1))

3.0ms

((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (/ 1 x) 1/2) (/ 1 x) 1 x 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) (+ (+ (pow x -2) (/ 1/2 x)) 1/12) (+ (pow x -2) (/ 1/2 x)) (/ (+ (* 1/2 x) 1) (* x x)) (+ (* 1/2 x) 1) (* x x) 1/12 (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) -1/720 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (+ (* 1/12 x) 1/2) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (+ (* -1/720 (* x x)) 1/12) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (* (+ (* 1/2 x) 1) x) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 (/ (exp x) (- (exp x) 1)) (- (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 (/ (exp x) (- (exp x) 1)) (exp x) (+ 1 x) (- (exp x) 1))

rewrite267.0ms (8.3%)

Memory

1.9MiB live, 231.3MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	482	5389
0	541	4869
1	1958	4843
0	8195	4707

Stop Event

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

Counts

279 → 849

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 (+.f64 #s(approx (+ (pow x -2) (/ 1/2 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (.f64 x x))) #s(literal 1/12 binary64)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 (+.f64 #s(approx (+ (pow x -2) (/ 1/2 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (.f64 x x))) #s(literal 1/12 binary64)) x))
(.f64 (+.f64 #s(approx (+ (pow x -2) (/ 1/2 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (.f64 x x))) #s(literal 1/12 binary64)) x)
(+.f64 #s(approx (+ (pow x -2) (/ 1/2 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/12 binary64))
#s(approx (+ (pow x -2) (/ 1/2 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x)))
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(/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x)
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#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* -1/720 (pow x 5))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* (pow x 5) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* (pow x 5) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* (pow x 5) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (* 1/12 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) #s(hole binary64 (* 1/12 (pow x 3))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x)))
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) #s(hole binary64 (* -1/720 (pow x 5))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 5) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 5) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) #s(hole binary64 (* (pow x 5) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* -1/720 (* x x)) 1/12) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* -1/720 (* x x)) 1/12) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (* (+ (* 1/2 x) 1) x) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (+ (* 1/2 x) 1) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x)))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))))
#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 (* (+ (* (+ (* (+ (* 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 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (+ (/ 1 x) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (/ 1 x) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (+ (/ 1 x) (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (/ (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) (* x x)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* -1 (* (pow x 5) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* -1 (* (pow x 5) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))))
#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
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.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 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x))))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) (*.f64 (+.f64 #s(approx (+ (pow x -2) (/ 1/2 x)) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) (*.f64 (+.f64 #s(approx (+ (pow x -2) (/ 1/2 x)) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64)) x))
(*.f64 (+.f64 #s(approx (+ (pow x -2) (/ 1/2 x)) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64)) x)
(*.f64 x (+.f64 #s(approx (+ (pow x -2) (/ 1/2 x)) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64)))
(/.f64 (-.f64 #s(literal 1/144 binary64) (pow.f64 #s(approx (+ (pow x -2) (/ 1/2 x)) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64))) (-.f64 #s(literal 1/12 binary64) #s(approx (+ (pow x -2) (/ 1/2 x)) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x))))
(/.f64 (+.f64 #s(literal 1/1728 binary64) (pow.f64 #s(approx (+ (pow x -2) (/ 1/2 x)) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/144 binary64) (-.f64 (pow.f64 #s(approx (+ (pow x -2) (/ 1/2 x)) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) #s(approx (+ (pow x -2) (/ 1/2 x)) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow x -2) (/ 1/2 x)) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)) #s(literal 1/144 binary64))) (neg.f64 (-.f64 #s(approx (+ (pow x -2) (/ 1/2 x)) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64))))
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#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* -1/720 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal -1/720 binary64)))
#s(approx (+ (* -1/720 (* x x)) 1/12) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (*.f64 x x)))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/720 binary64)))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal -2 binary64))) x))
#s(approx (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64))))
#s(approx (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (+ (* 1/12 x) 1/2) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* 1/12 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/720 binary64)))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* -1/720 (* x x)) 1/12) (.f64 (.f64 x x) #s(literal -1/720 binary64)))
#s(approx (+ (* -1/720 (* x x)) 1/12) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (*.f64 x x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (* (+ (* 1/2 x) 1) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* 1/2 x) 1) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
#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 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal -2 binary64))) (.f64 x x)))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (+ (* 1/6 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) 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 #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) 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 (/.f64 #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) (.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 3 binary64))))
#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) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
#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 x) x)
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64)) x)))
#s(approx (* (+ (+ (pow x -2) (/ 1/2 x)) 1/12) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64)) x)))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) (neg.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) (neg.f64 (.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/720 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (neg.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (neg.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) (neg.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) (neg.f64 (.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/720 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (neg.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (neg.f64 (.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/720 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (* x x)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64)) x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) (* x x)) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) (neg.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (* x x)) (neg.f64 (.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/720 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (neg.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (* x x)) x) (neg.f64 (.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/720 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (neg.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* -1/720 (* x x)) 1/12) x) 1/2) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (neg.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)) (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) 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 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal -2 binary64))) x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))))

eval171.0ms (5.3%)

Memory: 17.2MiB live, 157.2MiB allocated; 27ms collecting garbage
Compiler: Compiled 31 816 to 4 055 computations (87.3% saved)

prune51.0ms (1.6%)

Memory

11.8MiB live, 58.4MiB allocated; 2ms collecting garbage

Pruning

25 alts after pruning (10 fresh and 15 done)

	Pruned	Kept	Total
New	939	10	949
Fresh	0	0	0
Picked	4	6	10
Done	1	9	10
Total	944	25	969

Accuracy

100.0%

Counts

969 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	97.4%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
✓	62.2%	(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) x))
✓	3.5%	(/.f64 #s(approx (exp x) #s(approx (+ 1 x) x)) #s(approx (- (exp x) 1) x))
	36.6%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.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) (.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 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)))))
	38.6%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (-.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)))))
	40.7%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (.f64 (.f64 #s(literal 1/2 binary64) x) x))) (-.f64 x (.f64 (.f64 #s(literal 1/2 binary64) x) x)))))
	89.7%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
	89.7%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) x #s(literal 1 binary64)) x)))
	87.1%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))
	30.3%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* 1/6 x) 1/2) x) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
	23.3%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x)))
✓	63.1%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
✓	63.2%	(.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -31/30240 binary64) (.f64 x x) #s(literal 7/720 binary64)) (.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
✓	33.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) (.f64 x x) x) (*.f64 x x)))
✓	33.6%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (.f64 x x) x) (.f64 x x)))
✓	63.2%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	63.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
✓	52.4%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) x) (*.f64 x x)))
	63.3%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)))))
	63.3%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))))
✓	33.4%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 (+.f64 #s(approx (+ (pow x -2) (/ 1/2 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (.f64 x x))) #s(literal 1/12 binary64)) x)))
✓	3.4%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
✓	63.1%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
✓	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))

Compiler

Compiled 1 558 to 625 computations (59.9% saved)

regimes30.0ms (0.9%)

Memory

7.5MiB live, 52.7MiB allocated; 3ms collecting garbage

Counts

41 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (+ 1 x) x)) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) x) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* 1/6 x) 1/2) x) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 (+.f64 #s(approx (+ (pow x -2) (/ 1/2 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (.f64 x x))) #s(literal 1/12 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (.f64 x x) x) (.f64 x x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* 1/12 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x (.f64 x #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) (.f64 x x) x) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x (.f64 x #s(literal 1 binary64))) (.f64 x x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (.f64 (.f64 #s(literal 1/2 binary64) x) x))) (-.f64 x (.f64 (.f64 #s(literal 1/2 binary64) x) x)))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (-.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)))))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.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) (.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 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(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x)))
(.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -31/30240 binary64) (.f64 x x) #s(literal 7/720 binary64)) (.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))

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

Calls

3 calls:

10.0ms	x
9.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
8.0ms	(exp.f64 x)

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes35.0ms (1.1%)

Memory

-20.2MiB live, 40.0MiB allocated; 18ms collecting garbage

Counts

37 → 2

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) #s(approx (+ 1 x) x)) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) x) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 #s(approx (+ ( (+ (* 1/6 x) 1/2) x) 1) (.f64 #s(literal 1/6 binary64) (.f64 x x))) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 (+.f64 #s(approx (+ (pow x -2) (/ 1/2 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (.f64 x x))) #s(literal 1/12 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (/ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/24 x) 1/6) x) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 x x))) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (.f64 x x) x) (.f64 x x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* 1/12 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x (.f64 x #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) (.f64 x x) x) (*.f64 x x)))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x (.f64 x #s(literal 1 binary64))) (.f64 x x)))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (.f64 (.f64 #s(literal 1/2 binary64) x) x))) (-.f64 x (.f64 (.f64 #s(literal 1/2 binary64) x) x)))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (-.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)))))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (/.f64 (-.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) (.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 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(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x)))
(.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -31/30240 binary64) (.f64 x x) #s(literal 7/720 binary64)) (.f64 x x)) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))

Outputs

(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))

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

Calls

3 calls:

19.0ms	x
7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
7.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
99.0%	2	`(exp.f64 x)`
97.4%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
99.0%	2	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes44.0ms (1.4%)

Memory

-12.5MiB live, 33.1MiB allocated; 4ms collecting garbage

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

28.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
8.0ms	x
6.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
89.7%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
89.7%	1	`(exp.f64 x)`
95.6%	3	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.3%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
94.9%	3	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes14.0ms (0.4%)

Memory

20.9MiB live, 20.9MiB allocated; 0ms collecting garbage

Counts

28 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

7.0ms	x
5.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
89.7%	1	`(exp.f64 x)`
89.7%	1	`x`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes38.0ms (1.2%)

Memory

-19.6MiB live, 25.8MiB allocated; 5ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	x
4.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
87.1%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
87.1%	1	`(exp.f64 x)`
87.1%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes11.0ms (0.3%)

Memory

21.9MiB live, 21.8MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
88.5%	2	`x`
88.5%	2	`(exp.f64 x)`
88.5%	3	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes14.0ms (0.4%)

Memory

-22.3MiB live, 21.2MiB allocated; 6ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(exp.f64 x)
4.0ms	x
3.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
81.9%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
81.9%	1	`x`
81.9%	1	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.3%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
83.4%	2	`x`
83.4%	2	`(exp.f64 x)`
82.3%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes14.0ms (0.4%)

Memory

-32.3MiB live, 15.6MiB allocated; 12ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) x) (*.f64 x x)))

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

Calls

2 calls:

11.0ms	(exp.f64 x)
3.0ms	x

Results

Accuracy	Segments	Branch
83.1%	2	`(exp.f64 x)`
83.1%	2	`x`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes5.0ms (0.2%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) x) (*.f64 x x)))

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

Calls

2 calls:

3.0ms	x
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
82.6%	2	`x`
82.6%	2	`(exp.f64 x)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes5.0ms (0.2%)

Memory

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

Counts

7 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) x) (* x 1)) x) (*.f64 x x)))

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

Calls

2 calls:

3.0ms	x
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
82.6%	2	`x`
82.6%	2	`(exp.f64 x)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes9.0ms (0.3%)

Memory

-27.7MiB live, 16.7MiB allocated; 4ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
63.1%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
63.1%	1	`x`
63.1%	1	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
3.4%	1	`x`
3.4%	1	`(exp.f64 x)`
3.4%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
3.2%	1	`(exp.f64 x)`
3.2%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
3.2%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch9.0ms (0.3%)

Memory

21.1MiB live, 21.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	-5.729989878318181	-1.088152178038956

Samples

4.0ms

96×

valid

Compiler

Compiled 286 to 218 computations (23.8% saved)

Precisions

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

ival-exp: 1.0ms (40.1% of total)

ival-expm1: 1.0ms (40.1% of total)

adjust: 0.0ms (0% of total)

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

bsearch18.0ms (0.6%)

Memory

-15.0MiB live, 31.2MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	-5.729989878318181	-1.088152178038956
12.0ms	-4.3685919929056465e+81	-1.7400834665189067e+77

Samples

7.0ms

176×

valid

Compiler

Compiled 1 186 to 640 computations (46% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 2.0ms (54.4% of total)

ival-expm1: 1.0ms (27.2% of total)

ival-div!: 1.0ms (27.2% of total)

adjust: 0.0ms (0% of total)

bsearch13.0ms (0.4%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.729989878318181	-1.088152178038956
11.0ms	-6.013432469120308e+108	-6.570441285211989e+100

Samples

5.0ms

144×

valid

Compiler

Compiled 1 105 to 635 computations (42.5% saved)

Precisions

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

ival-exp: 1.0ms (36.5% of total)

ival-expm1: 1.0ms (36.5% of total)

ival-div!: 1.0ms (36.5% of total)

adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0032471100996595186	0.33683833627771204

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.0032471100996595186

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.0032471100996595186

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0032471100996595186	0.33683833627771204

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0032471100996595186	0.33683833627771204

Compiler

Compiled 9 to 9 computations (0% saved)

derivations592.0ms (18.5%)

Memory

-27.8MiB live, 493.3MiB allocated; 86ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 704 to 145 computations (79.4% saved)

preprocess70.0ms (2.2%)

Memory: 39.0MiB live, 130.0MiB allocated; 10ms collecting garbage
Compiler: Compiled 1 434 to 312 computations (78.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample787.0ms (24.5%)

explain90.0ms (2.8%)

preprocess28.0ms (0.9%)

series3.0ms (0.1%)

rewrite112.0ms (3.5%)

eval6.0ms (0.2%)

prune4.0ms (0.1%)

series23.0ms (0.7%)

rewrite206.0ms (6.4%)

eval64.0ms (2%)

prune15.0ms (0.5%)

series23.0ms (0.7%)

rewrite205.0ms (6.4%)

eval151.0ms (4.7%)

prune34.0ms (1.1%)

series19.0ms (0.6%)

rewrite267.0ms (8.3%)

eval171.0ms (5.3%)

prune51.0ms (1.6%)

regimes30.0ms (0.9%)

regimes35.0ms (1.1%)

regimes44.0ms (1.4%)

regimes10.0ms (0.3%)

regimes14.0ms (0.4%)

regimes38.0ms (1.2%)

regimes11.0ms (0.3%)

regimes14.0ms (0.4%)

regimes9.0ms (0.3%)

regimes14.0ms (0.4%)

regimes5.0ms (0.2%)

regimes5.0ms (0.2%)

regimes9.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch9.0ms (0.3%)

bsearch18.0ms (0.6%)

bsearch13.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations592.0ms (18.5%)

preprocess70.0ms (2.2%)

end0.0ms (0%)

Profiling