Metrics for expq2 (section 3.11)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB 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)

sample714.0ms (26.9%)

Memory

-3.8MiB live, 849.4MiB allocated; 264ms collecting garbage

Samples

461.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 251.0ms

ival-exp: 139.0ms (55.3% of total)

ival-expm1: 58.0ms (23.1% of total)

ival-div!: 53.0ms (21.1% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

explain65.0ms (2.4%)

Memory

30.6MiB live, 170.2MiB allocated; 9ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
165	1	(-0.005113818182479163)	-	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	0	-	-	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(exp.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	cancellation	166	0

Confusion

	Predicted +	Predicted -
+	165	0
-	1	90

Precision

0.9939759036144579

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	165	0	0
-	1	0	90

Precision?

0.9939759036144579

Recall?

1.0

Freqs

test

number	freq
0	90
1	166

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-exp: 6.0ms (51.2% of total)

ival-expm1: 3.0ms (25.6% of total)

ival-div!: 3.0ms (25.6% of total)

adjust: 0.0ms (0% of total)

preprocess264.0ms (9.9%)

Memory

-19.9MiB live, 350.9MiB allocated; 45ms 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
0	5	7
0	8	7
1	13	7
2	29	7
3	67	7
4	285	7
5	3049	7
0	8303	5

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.4%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

series3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB 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)

rewrite141.0ms (5.3%)

Memory

1.0MiB live, 99.8MiB allocated; 19ms 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)))))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.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: 10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 785 to 184 computations (76.6% saved)

prune5.0ms (0.2%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	58	6	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	6	65

Accuracy

100.0%

Counts

65 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
	98.1%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
▶	66.0%	#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
▶	66.1%	#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))
▶	65.9%	#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))
▶	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))

Compiler

Compiled 156 to 112 computations (28.2% saved)

series10.0ms (0.4%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

24 → 74

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
x
(expm1.f64 x)
#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)
#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)

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 (/ (+ (* 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 (/ (+ (* (+ (* 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) 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)))
#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 (/ (+ (* (+ (* 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))))))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 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)
3.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 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)
2.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 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)

Time

Variable

Point

Expression

4.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

rewrite201.0ms (7.6%)

Memory

9.5MiB live, 239.3MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	1427
0	226	1333
1	950	1299
0	8034	1286

Stop Event

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

Counts

98 → 449

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
x
(expm1.f64 x)
#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)
#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)
#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 (/ (+ (* 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 (/ (+ (* (+ (* 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) 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)))
#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 (/ (+ (* (+ (* 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))))))))

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 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(/.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)))
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(*.f64 x x)
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#s(literal -1/720 binary64)
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#s(literal -1 binary64)
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#s(approx x x)
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#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) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (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) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x (fma.f64 (pow.f64 x #s(literal -2 binary64)) x #s(literal 1/2 binary64))))
#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 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/12 binary64) x (fma.f64 (pow.f64 x #s(literal -2 binary64)) x #s(literal 1/2 binary64))) x))
#s(approx (+ (* 1/12 x) 1/2) (*.f64 #s(literal 1/12 binary64) x))
#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) (*.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 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) 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) (*.f64 (fma.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 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (*.f64 (fma.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 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) #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 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) x) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/12 binary64))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/720 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -4 binary64)))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x))))

eval64.0ms (2.4%)

Memory: -26.0MiB live, 120.1MiB allocated; 25ms collecting garbage
Compiler: Compiled 11 774 to 1 829 computations (84.5% saved)

prune18.0ms (0.7%)

Memory

24.9MiB live, 72.0MiB allocated; 1ms collecting garbage

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	463	8	471
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	464	13	477

Accuracy

100.0%

Counts

477 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	98.1%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
▶	34.7%	#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
✓	66.1%	#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))
✓	65.9%	#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))
	66.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))) x))
▶	65.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) x))
✓	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
	65.5%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 (pow.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) #s(literal 3 binary64)) #s(literal -1 binary64)) (.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) (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(literal 1 binary64)) x)))
	66.0%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x))
▶	2.9%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
	3.3%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
▶	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))

Compiler

Compiled 472 to 301 computations (36.2% saved)

series8.0ms (0.3%)

Memory

-21.2MiB live, 26.0MiB allocated; 2ms collecting garbage

Counts

20 → 51

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* 1/12 x) 1/2) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) (+ (* (* x x) 1/12) 1) (* x x) 1 (/ (exp x) (- (exp x) 1)) (pow (* x x) -1/2) -1/2)
2.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* 1/12 x) 1/2) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) (+ (* (* x x) 1/12) 1) (* x x) 1 (/ (exp x) (- (exp x) 1)) (pow (* x x) -1/2) -1/2)
2.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* 1/12 x) 1/2) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) (+ (* (* x x) 1/12) 1) (* x x) 1 (/ (exp x) (- (exp x) 1)) (pow (* x x) -1/2) -1/2)

Time

Variable

Point

Expression

3.0ms

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

2.0ms

-inf

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

2.0ms

inf

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

rewrite206.0ms (7.8%)

Memory

-10.9MiB live, 231.6MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	908
0	155	859
1	709	844
0	5714	754

Stop Event

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

Counts

71 → 289

Calls

Call 1

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

Outputs
(/.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))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) #s(approx (- (exp x) 1) x)))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 #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)))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(/.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)))))
(neg.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)))
(exp.f64 (+.f64 x #s(literal 0 binary64)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
#s(approx (- (exp x) 1) x)
#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 (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/144 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/24 binary64) x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/144 binary64) (.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
(/.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/24 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x))) (/.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64))))
(-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1/12 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) x))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/24 binary64) x)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/24 binary64) x)))))
(+.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))
#s(literal 1/12 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 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) x) (.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (/.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (/.f64 (.f64 (fma.f64 #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 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) 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 (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (/.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (-.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #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 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (/.f64 (.f64 (fma.f64 #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 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64))) x)
(/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #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) (neg.f64 x) (neg.f64 x)) (.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x x) (.f64 x x))
(/.f64 (+.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))) (*.f64 (neg.f64 x) x))
(/.f64 (+.f64 x (.f64 x (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)) x))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)) x))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x)))) x))
(/.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal -1/12 binary64) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal -1/12 binary64) x) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/12 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 x (.f64 (.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (.f64 x x)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 (.f64 (neg.f64 x) x) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/12 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 1/12 binary64) x)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/12 binary64) x) x))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (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 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 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 1 binary64) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(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)))
(+.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))))
#s(literal -1/2 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 #s(literal 1/12 binary64) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) #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 (/ (+ (* 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 (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 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) #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 1/2) (+ (* (* x x) 1/12) 1)) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 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 1/2) (+ (* (* x x) 1/12) 1)) #s(literal 1 binary64))
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 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) 1/12) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) 1/12) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (pow (* x x) -1/2) (pow.f64 x #s(literal -1 binary64)))
#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))
#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 (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 (+.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) (*.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 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 (+.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 1/2) (+ (* (* x x) 1/12) 1)) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) x))
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))
#s(approx (+ (* (* x x) 1/12) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* (* x x) 1/12) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64))))
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64))))
#s(approx (pow (* x x) -1/2) (/.f64 #s(literal -1 binary64) x))

eval62.0ms (2.3%)

Memory: 18.7MiB live, 108.3MiB allocated; 8ms collecting garbage
Compiler: Compiled 7 431 to 1 152 computations (84.5% saved)

prune16.0ms (0.6%)

Memory

3.0MiB live, 49.4MiB allocated; 3ms collecting garbage

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	310	2	312
Fresh	1	3	4
Picked	0	5	5
Done	0	4	4
Total	311	14	325

Accuracy

100.0%

Counts

325 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	98.1%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
▶	65.1%	(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
▶	66.0%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
✓	34.7%	#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
✓	66.1%	#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))
✓	65.9%	#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))
▶	66.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))) x))
✓	65.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) x))
✓	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
▶	65.5%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 (pow.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) #s(literal 3 binary64)) #s(literal -1 binary64)) (.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) (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(literal 1 binary64)) x)))
✓	2.9%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
▶	3.3%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
✓	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))

Compiler

Compiled 384 to 239 computations (37.8% saved)

series65.0ms (2.4%)

Memory

-50.9MiB live, 29.4MiB allocated; 97ms collecting garbage

Counts

31 → 130

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))) x)
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)))
x
#s(literal 1/2 binary64)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 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(literal 1/12 binary64)
#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)
(/.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 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 (pow.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) #s(literal 3 binary64)) #s(literal -1 binary64)) (.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) (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(literal 1 binary64)) x)))
(/.f64 (-.f64 (pow.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) #s(literal 3 binary64)) #s(literal -1 binary64)) (.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) (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(literal 1 binary64)) x))
(-.f64 (pow.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) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.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) #s(literal 3 binary64))
(.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))
#s(literal 3 binary64)
(.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) (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(literal 1 binary64)) 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) (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(literal 1 binary64))
(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))

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 (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) #s(hole binary64 1))
#s(approx (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 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) 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 (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 (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(hole binary64 1))
#s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(hole binary64 (+ 1 (* 1/8 (pow x 3)))))
#s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(hole binary64 (+ 1 (* (pow x 3) (+ 1/8 (* 1/16 x))))))
#s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(hole binary64 (+ 1 (* (pow x 3) (+ 1/8 (* x (+ 1/16 (* 1/96 x))))))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) #s(hole binary64 (* 1/8 (pow x 3))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) #s(hole binary64 (* (pow x 3) (+ 1/8 (* 1/16 x)))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) #s(hole binary64 (* (pow x 3) (+ 1/8 (* x (+ 1/16 (* 1/96 x)))))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) #s(hole binary64 (* (pow x 3) (+ 1/8 (* x (+ 1/16 (* x (+ 1/96 (* -1/2160 x)))))))))
#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) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) #s(hole binary64 (* x (+ 1 (* x (- (* 1/6 x) 1/2))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/6 (* 1/12 x))) 1/2))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) #s(hole binary64 (+ 1 (* x (- (* 1/6 x) 1/2)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/6 (* 1/12 x))) 1/2)))))
#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 (- (* 1/2 x) 1)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1) #s(hole binary64 (- (* x (+ 1/2 (* 1/12 x))) 1)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1) #s(hole binary64 (- (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))) 1)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 x)) 1) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 x)) 1) #s(hole binary64 (* (pow x 4) (- (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 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) 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 (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 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 (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(hole binary64 (* -1/373248000 (pow x 12))))
#s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(hole binary64 (* (pow x 12) (- (* 1/2073600 (/ 1 (pow x 2))) 1/373248000))))
#s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(hole binary64 (* (pow x 12) (- (+ (/ 1/345600 (pow x 3)) (* 1/2073600 (/ 1 (pow x 2)))) 1/373248000))))
#s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(hole binary64 (* (pow x 12) (- (+ (/ 1/345600 (pow x 3)) (* 1/2073600 (/ 1 (pow x 2)))) (+ 1/373248000 (* 1/34560 (/ 1 (pow x 4))))))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) #s(hole binary64 (* -1/373248000 (pow x 12))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) #s(hole binary64 (* (pow x 12) (- (* 1/2073600 (/ 1 (pow x 2))) 1/373248000))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) #s(hole binary64 (* (pow x 12) (- (+ (/ 1/345600 (pow x 3)) (* 1/2073600 (/ 1 (pow x 2)))) 1/373248000))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) #s(hole binary64 (* (pow x 12) (- (+ (/ 1/345600 (pow x 3)) (* 1/2073600 (/ 1 (pow x 2)))) (+ 1/373248000 (* 1/34560 (/ 1 (pow x 4))))))))
#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) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) #s(hole binary64 (* 1/518400 (pow x 9))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) #s(hole binary64 (* (pow x 9) (- 1/518400 (* 1/4320 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) #s(hole binary64 (* (pow x 9) (+ 1/518400 (* -1 (/ (+ 1/4320 (* 1/720 (/ 1 x))) (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) #s(hole binary64 (* (pow x 9) (- (+ 1/518400 (* 1/120 (/ 1 (pow x 4)))) (+ (/ 1/720 (pow x 3)) (* 1/4320 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) #s(hole binary64 (* 1/518400 (pow x 8))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) #s(hole binary64 (* (pow x 8) (- 1/518400 (* 1/4320 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) #s(hole binary64 (* (pow x 8) (+ 1/518400 (* -1 (/ (+ 1/4320 (* 1/720 (/ 1 x))) (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) #s(hole binary64 (* (pow x 8) (- (+ 1/518400 (* 1/120 (/ 1 (pow x 4)))) (+ (/ 1/720 (pow x 3)) (* 1/4320 (/ 1 (pow x 2))))))))
#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)))) (+ 1/720 (/ 1 (pow x 4)))))))
#s(approx (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 (/ (+ (* (+ (* 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 x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 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 (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(hole binary64 (* (pow x 12) (- (+ (* -1 (/ (- (* 1/34560 (/ 1 x)) 1/345600) (pow x 3))) (* 1/2073600 (/ 1 (pow x 2)))) 1/373248000))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) #s(hole binary64 (* (pow x 12) (- (+ (* -1 (/ (- (* 1/34560 (/ 1 x)) 1/345600) (pow x 3))) (* 1/2073600 (/ 1 (pow x 2)))) 1/373248000))))
#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) -1/720) 1/12) x) 1/2) x) -1)) 1) x) #s(hole binary64 (* -1 (* (pow x 9) (- (* 1/4320 (/ 1 (pow x 2))) 1/518400)))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) #s(hole binary64 (* -1 (* (pow x 9) (- (+ (/ 1/720 (pow x 3)) (* 1/4320 (/ 1 (pow x 2)))) 1/518400)))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) #s(hole binary64 (* -1 (* (pow x 9) (- (+ (* -1 (/ (- (* 1/120 (/ 1 x)) 1/720) (pow x 3))) (* 1/4320 (/ 1 (pow x 2)))) 1/518400)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) #s(hole binary64 (* (pow x 8) (- (+ 1/518400 (* -1 (/ (- 1/720 (* 1/120 (/ 1 x))) (pow x 3)))) (* 1/4320 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1) #s(hole binary64 (* (pow x 4) (- (+ (* -1 (/ (- (/ 1 x) 1/2) (pow x 3))) (* 1/12 (/ 1 (pow x 2)))) 1/720))))

Calls

3 calls:

Time	Variable		Point	Expression
55.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x) (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x 1/2 (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 1/12 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* 1/12 x) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) -1 (/ (exp x) (- (exp x) 1)) (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) 3 (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1))
4.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x) (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x 1/2 (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 1/12 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* 1/12 x) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) -1 (/ (exp x) (- (exp x) 1)) (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) 3 (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1))
2.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x) (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x 1/2 (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 1/12 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* 1/12 x) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) -1 (/ (exp x) (- (exp x) 1)) (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) 3 (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1))

Time

Variable

Point

Expression

55.0ms

-inf

((/ (exp x) (- (exp x) 1)) (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x) (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x 1/2 (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 1/12 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* 1/12 x) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) -1 (/ (exp x) (- (exp x) 1)) (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) 3 (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1))

4.0ms

inf

((/ (exp x) (- (exp x) 1)) (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x) (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x 1/2 (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 1/12 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* 1/12 x) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) -1 (/ (exp x) (- (exp x) 1)) (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) 3 (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1))

2.0ms

((/ (exp x) (- (exp x) 1)) (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x) (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x 1/2 (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 1/12 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* 1/12 x) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) -1 (/ (exp x) (- (exp x) 1)) (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) 3 (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1))

rewrite173.0ms (6.5%)

Memory

21.5MiB live, 297.9MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	400	4037
0	434	3849
1	2022	3847
0	8028	3690

Stop Event

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

Counts

161 → 326

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))) x))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))) x)
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)))
x
#s(literal 1/2 binary64)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 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(literal 1/12 binary64)
#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)
(/.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 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 (pow.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) #s(literal 3 binary64)) #s(literal -1 binary64)) (.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) (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(literal 1 binary64)) x)))
(/.f64 (-.f64 (pow.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) #s(literal 3 binary64)) #s(literal -1 binary64)) (.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) (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(literal 1 binary64)) x))
(-.f64 (pow.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) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.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) #s(literal 3 binary64))
(.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))
#s(literal 3 binary64)
(.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) (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(literal 1 binary64)) 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) (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(literal 1 binary64))
(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 (/ (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 (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) #s(hole binary64 1))
#s(approx (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x))))))
#s(approx (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 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) 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 (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 (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(hole binary64 1))
#s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(hole binary64 (+ 1 (* 1/8 (pow x 3)))))
#s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(hole binary64 (+ 1 (* (pow x 3) (+ 1/8 (* 1/16 x))))))
#s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(hole binary64 (+ 1 (* (pow x 3) (+ 1/8 (* x (+ 1/16 (* 1/96 x))))))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) #s(hole binary64 (* 1/8 (pow x 3))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) #s(hole binary64 (* (pow x 3) (+ 1/8 (* 1/16 x)))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) #s(hole binary64 (* (pow x 3) (+ 1/8 (* x (+ 1/16 (* 1/96 x)))))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) #s(hole binary64 (* (pow x 3) (+ 1/8 (* x (+ 1/16 (* x (+ 1/96 (* -1/2160 x)))))))))
#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) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) #s(hole binary64 (* x (+ 1 (* x (- (* 1/6 x) 1/2))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/6 (* 1/12 x))) 1/2))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) #s(hole binary64 (+ 1 (* x (- (* 1/6 x) 1/2)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/6 (* 1/12 x))) 1/2)))))
#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 (- (* 1/2 x) 1)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1) #s(hole binary64 (- (* x (+ 1/2 (* 1/12 x))) 1)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1) #s(hole binary64 (- (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))) 1)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 x)) 1) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 x)) 1) #s(hole binary64 (* (pow x 4) (- (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4))) 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) 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 (exp x) #s(hole binary64 (exp x)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) #s(hole binary64 (* -1/720 (pow x 3))))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 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 (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(hole binary64 (* -1/373248000 (pow x 12))))
#s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(hole binary64 (* (pow x 12) (- (* 1/2073600 (/ 1 (pow x 2))) 1/373248000))))
#s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(hole binary64 (* (pow x 12) (- (+ (/ 1/345600 (pow x 3)) (* 1/2073600 (/ 1 (pow x 2)))) 1/373248000))))
#s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(hole binary64 (* (pow x 12) (- (+ (/ 1/345600 (pow x 3)) (* 1/2073600 (/ 1 (pow x 2)))) (+ 1/373248000 (* 1/34560 (/ 1 (pow x 4))))))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) #s(hole binary64 (* -1/373248000 (pow x 12))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) #s(hole binary64 (* (pow x 12) (- (* 1/2073600 (/ 1 (pow x 2))) 1/373248000))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) #s(hole binary64 (* (pow x 12) (- (+ (/ 1/345600 (pow x 3)) (* 1/2073600 (/ 1 (pow x 2)))) 1/373248000))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) #s(hole binary64 (* (pow x 12) (- (+ (/ 1/345600 (pow x 3)) (* 1/2073600 (/ 1 (pow x 2)))) (+ 1/373248000 (* 1/34560 (/ 1 (pow x 4))))))))
#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) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) #s(hole binary64 (* 1/518400 (pow x 9))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) #s(hole binary64 (* (pow x 9) (- 1/518400 (* 1/4320 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) #s(hole binary64 (* (pow x 9) (+ 1/518400 (* -1 (/ (+ 1/4320 (* 1/720 (/ 1 x))) (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) #s(hole binary64 (* (pow x 9) (- (+ 1/518400 (* 1/120 (/ 1 (pow x 4)))) (+ (/ 1/720 (pow x 3)) (* 1/4320 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) #s(hole binary64 (* 1/518400 (pow x 8))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) #s(hole binary64 (* (pow x 8) (- 1/518400 (* 1/4320 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) #s(hole binary64 (* (pow x 8) (+ 1/518400 (* -1 (/ (+ 1/4320 (* 1/720 (/ 1 x))) (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) #s(hole binary64 (* (pow x 8) (- (+ 1/518400 (* 1/120 (/ 1 (pow x 4)))) (+ (/ 1/720 (pow x 3)) (* 1/4320 (/ 1 (pow x 2))))))))
#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)))) (+ 1/720 (/ 1 (pow x 4)))))))
#s(approx (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 (/ (+ (* (+ (* 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 x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 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 (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(hole binary64 (* (pow x 12) (- (+ (* -1 (/ (- (* 1/34560 (/ 1 x)) 1/345600) (pow x 3))) (* 1/2073600 (/ 1 (pow x 2)))) 1/373248000))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) #s(hole binary64 (* (pow x 12) (- (+ (* -1 (/ (- (* 1/34560 (/ 1 x)) 1/345600) (pow x 3))) (* 1/2073600 (/ 1 (pow x 2)))) 1/373248000))))
#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) -1/720) 1/12) x) 1/2) x) -1)) 1) x) #s(hole binary64 (* -1 (* (pow x 9) (- (* 1/4320 (/ 1 (pow x 2))) 1/518400)))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) #s(hole binary64 (* -1 (* (pow x 9) (- (+ (/ 1/720 (pow x 3)) (* 1/4320 (/ 1 (pow x 2)))) 1/518400)))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) #s(hole binary64 (* -1 (* (pow x 9) (- (+ (* -1 (/ (- (* 1/120 (/ 1 x)) 1/720) (pow x 3))) (* 1/4320 (/ 1 (pow x 2)))) 1/518400)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) #s(hole binary64 (* (pow x 8) (- (+ 1/518400 (* -1 (/ (- 1/720 (* 1/120 (/ 1 x))) (pow x 3)))) (* 1/4320 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1) #s(hole binary64 (* (pow x 4) (- (+ (* -1 (/ (- (/ 1 x) 1/2) (pow x 3))) (* 1/12 (/ 1 (pow x 2)))) 1/720))))

Outputs
#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 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) 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 (.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x)) (.f64 (/.f64 (.f64 #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)) (.f64 x x) #s(literal 1 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (/.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(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (.f64 (/.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 (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)))))
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(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)))) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 (neg.f64 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))) (.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 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))) (.f64 x x))
(/.f64 (neg.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))) (neg.f64 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)
(-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 x) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))) x))
(+.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(+.f64 (/.f64 (.f64 #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)) (*.f64 x x) #s(literal 1 binary64)) x))
(+.f64 (/.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) (pow.f64 x #s(literal -1 binary64)))
(+.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 (pow.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) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.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) #s(literal 2 binary64)) (-.f64 #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) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.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) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.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))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.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) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.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) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.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))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.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) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.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)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.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) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.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) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.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 (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 #s(literal 1/2 binary64) x (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x 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) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.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))) (/.f64 (pow.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) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.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))))
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x
#s(literal 1/2 binary64)
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(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)) (.f64 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))) #s(literal 1 binary64))
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(+.f64 #s(literal 1 binary64) (.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)) (.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)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.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) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.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) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (.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)))))
(/.f64 (neg.f64 (-.f64 (pow.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) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.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) #s(literal -1 binary64))))
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(/.f64 (+.f64 (pow.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) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.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) #s(literal 2 binary64)) (-.f64 #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) #s(literal -1 binary64)))))
(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))
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(+.f64 (/.f64 (pow.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) #s(literal 3 binary64)) (+.f64 (pow.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) #s(literal 2 binary64)) (-.f64 #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) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.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) #s(literal 2 binary64)) (-.f64 #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) #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) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.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(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 (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) #s(literal 1 binary64))
#s(approx (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 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 (/ (+ (* (+ (* 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) (*.f64 #s(literal 1/12 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) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 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 (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 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 (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(literal 1 binary64))
#s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
#s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/96 binary64) x #s(literal 1/16 binary64)) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) (*.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) (*.f64 (fma.f64 (fma.f64 #s(literal 1/96 binary64) x #s(literal 1/16 binary64)) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2160 binary64) x #s(literal 1/96 binary64)) x #s(literal 1/16 binary64)) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) 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))
#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) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) x)
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 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) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/6 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) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 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) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/6 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) #s(literal -1 binary64))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1) (-.f64 (*.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) (-.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) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
#s(approx (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x x)) 1)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 x)) 1) (*.f64 (-.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) (.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 (/ (+ (* (+ (* 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 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/12 binary64)) x))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (- x -1) x)
#s(approx (- x -1) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
#s(approx (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 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 (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 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 (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 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 (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1/373248000 binary64)))
#s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (.f64 (-.f64 (.f64 #s(literal 1/2073600 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/373248000 binary64)) (pow.f64 x #s(literal 12 binary64))))
#s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (*.f64 (-.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/345600 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/373248000 binary64)) (pow.f64 x #s(literal 12 binary64))))
#s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (*.f64 (-.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/345600 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/34560 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/373248000 binary64))) (pow.f64 x #s(literal 12 binary64))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1/373248000 binary64)))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) (.f64 (-.f64 (.f64 #s(literal 1/2073600 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/373248000 binary64)) (pow.f64 x #s(literal 12 binary64))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) (*.f64 (-.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/345600 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/373248000 binary64)) (pow.f64 x #s(literal 12 binary64))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) (*.f64 (-.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/345600 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/34560 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/373248000 binary64))) (pow.f64 x #s(literal 12 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) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/518400 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) (.f64 (-.f64 #s(literal 1/518400 binary64) (.f64 #s(literal 1/4320 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 9 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) x) #s(literal 1/4320 binary64)) x) #s(literal 1/518400 binary64)) (pow.f64 x #s(literal 9 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) (*.f64 (-.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/4320 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 9 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/518400 binary64)))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) (.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/518400 binary64) (.f64 #s(literal 1/4320 binary64) (pow.f64 x #s(literal -2 binary64))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) (*.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/720 binary64) x) #s(literal 1/4320 binary64)) x) #s(literal 1/518400 binary64))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) (*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal 1/4320 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #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 (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 -4 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (+ (* x 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 1/2) (+ (* (+ (* (* x x) -1/720) 1/12) (* x 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 (/ (+ (* (+ (* 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 (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 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 (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 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 (/ (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 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 (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) (*.f64 (-.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/34560 binary64) x) #s(literal 1/345600 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/373248000 binary64)) (pow.f64 x #s(literal 12 binary64))))
#s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) (*.f64 (-.f64 (fma.f64 #s(literal 1/2073600 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/34560 binary64) x) #s(literal 1/345600 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/373248000 binary64)) (pow.f64 x #s(literal 12 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 (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/4320 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/518400 binary64)) (pow.f64 x #s(literal 9 binary64)))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4320 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/518400 binary64)) (pow.f64 x #s(literal 9 binary64)))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) x) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4320 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/518400 binary64)) (pow.f64 x #s(literal 9 binary64)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1)) 1) (.f64 (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/120 binary64) x)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/518400 binary64)) (.f64 #s(literal 1/4320 binary64) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) -1) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64))))

eval79.0ms (3%)

Memory: -9.2MiB live, 182.6MiB allocated; 19ms collecting garbage
Compiler: Compiled 30 131 to 2 610 computations (91.3% saved)

prune22.0ms (0.8%)

Memory

8.9MiB live, 55.1MiB allocated; 4ms collecting garbage

Pruning

18 alts after pruning (6 fresh and 12 done)

	Pruned	Kept	Total
New	575	6	581
Fresh	0	0	0
Picked	1	4	5
Done	1	8	9
Total	577	18	595

Accuracy

100.0%

Counts

595 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	98.1%	(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
✓	65.1%	(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
	90.2%	(/.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)))
	87.0%	(/.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)))
	81.7%	(/.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)))
✓	66.0%	(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
✓	66.1%	#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))
✓	65.9%	#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))
✓	66.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))) x))
✓	65.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) x))
✓	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
	67.1%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 #s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2160 binary64) x #s(literal 1/96 binary64)) x #s(literal 1/16 binary64)) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (.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) (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(literal 1 binary64)) x)))
	96.3%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(literal 1 binary64)) (.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) (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(literal 1 binary64)) x)))
	66.1%	#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
✓	2.9%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
✓	3.3%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
✓	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))

Compiler

Compiled 919 to 395 computations (57% saved)

regimes17.0ms (0.6%)

Memory

33.4MiB live, 33.4MiB allocated; 0ms collecting garbage

Counts

23 → 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)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.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 #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 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #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)) (/.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 x #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(literal 1 binary64)) (.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) (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(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
#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)) (/.f64 (-.f64 (pow.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) #s(literal 3 binary64)) #s(literal -1 binary64)) (.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) (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(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 #s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2160 binary64) x #s(literal 1/96 binary64)) x #s(literal 1/16 binary64)) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (.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) (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(literal 1 binary64)) x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

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

Calls

3 calls:

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

regimes20.0ms (0.8%)

Memory

-19.9MiB live, 29.6MiB allocated; 8ms collecting garbage

Counts

21 → 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)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.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 #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 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #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)) (/.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 x #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(literal 1 binary64)) (.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) (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(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
#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)) (/.f64 (-.f64 (pow.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) #s(literal 3 binary64)) #s(literal -1 binary64)) (.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) (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(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 #s(approx (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2160 binary64) x #s(literal 1/96 binary64)) x #s(literal 1/16 binary64)) x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (.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) (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(literal 1 binary64)) x)))

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

Calls

3 calls:

10.0ms	x
4.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
98.1%	1	`(exp.f64 x)`
98.1%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
98.1%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes13.0ms (0.5%)

Memory

19.5MiB live, 19.5MiB allocated; 0ms collecting garbage

Counts

18 → 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)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.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 #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 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #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)) (/.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 x #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(literal 1 binary64)) (.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) (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(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))

Outputs

#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(literal 1 binary64)) (*.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) (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(literal 1 binary64)) x)))

Calls

3 calls:

5.0ms	x
4.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
96.3%	1	`(exp.f64 x)`
96.3%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
96.3%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes56.0ms (2.1%)

Memory

-27.9MiB live, 17.0MiB allocated; 5ms collecting garbage

Counts

15 → 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)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.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 #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 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #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)) (/.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 x #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) 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 (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)))

Calls

3 calls:

49.0ms	x
3.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
90.2%	1	`(exp.f64 x)`
90.2%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
90.2%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.4%)

Memory

14.1MiB live, 14.0MiB allocated; 0ms 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)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.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 #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 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #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)) (/.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))

Outputs
(/.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)))

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
87.0%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
87.0%	1	`x`
87.0%	1	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.3%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Counts

10 → 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)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x))
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.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 #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 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #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:

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
81.7%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
81.7%	1	`(exp.f64 x)`
81.7%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes18.0ms (0.7%)

Memory

-32.8MiB live, 12.3MiB allocated; 5ms collecting garbage

Counts

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

Calls

3 calls:

14.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
66.0%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
66.0%	1	`x`
66.0%	1	`(exp.f64 x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0.2%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Counts

3 → 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)))

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

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:

2.0ms	x
1.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
1.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
3.3%	1	`x`
3.3%	1	`(exp.f64 x)`
3.3%	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

7.2MiB live, 7.2MiB 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	`x`
3.2%	1	`(exp.f64 x)`
3.2%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 10 to 8 computations (20% saved)

simplify51.0ms (1.9%)

Memory

7.0MiB live, 50.6MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	193
1	102	193
2	229	193
3	832	189
4	4810	189

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (- (pow (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 3) -1) #s(literal 1 binary64)) (.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) (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(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)))
(/.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)))
(/.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 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x))
#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 (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))

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

derivations278.0ms (10.5%)

Memory

-20.2MiB live, 365.0MiB allocated; 52ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 193 to 73 computations (62.2% saved)

preprocess49.0ms (1.9%)

Memory: 20.7MiB live, 161.6MiB allocated; 10ms collecting garbage
Compiler: Compiled 412 to 168 computations (59.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample714.0ms (26.9%)

explain65.0ms (2.4%)

preprocess264.0ms (9.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series3.0ms (0.1%)

rewrite141.0ms (5.3%)

eval6.0ms (0.2%)

prune5.0ms (0.2%)

series10.0ms (0.4%)

rewrite201.0ms (7.6%)

eval64.0ms (2.4%)

prune18.0ms (0.7%)

series8.0ms (0.3%)

rewrite206.0ms (7.8%)

eval62.0ms (2.3%)

prune16.0ms (0.6%)

series65.0ms (2.4%)

rewrite173.0ms (6.5%)

eval79.0ms (3%)

prune22.0ms (0.8%)

regimes17.0ms (0.6%)

regimes20.0ms (0.8%)

regimes13.0ms (0.5%)

regimes56.0ms (2.1%)

regimes10.0ms (0.4%)

regimes9.0ms (0.3%)

regimes18.0ms (0.7%)

regimes4.0ms (0.2%)

regimes3.0ms (0.1%)

simplify51.0ms (1.9%)

derivations278.0ms (10.5%)

preprocess49.0ms (1.9%)

end0.0ms (0%)

Profiling