Metrics for expq2 (section 3.11)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

1.2MiB live, 1.2MiB 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)

sample478.0ms (27.4%)

Memory

7.7MiB live, 419.6MiB allocated; 64ms collecting garbage

Samples

317.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-exp: 70.0ms (42.9% of total)

ival-expm1: 48.0ms (29.4% of total)

ival-div!: 43.0ms (26.3% of total)

adjust: 2.0ms (1.2% of total)

Bogosity

preprocess37.0ms (2.1%)

Memory

-30.3MiB live, 18.2MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	41	25
2	166	25
3	782	19

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.2%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 12 to 10 computations (16.7% saved)

series3.0ms (0.2%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Counts

5 → 15

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 (+ 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)
0.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1)

rewrite110.0ms (6.3%)

Memory

41.5MiB live, 87.2MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	203
0	67	203
1	408	203
0	3951	160

Stop Event

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

Counts

20 → 57

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

eval10.0ms (0.6%)

Memory: -37.7MiB live, 8.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 417 to 190 computations (54.4% saved)

prune4.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	46	7	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	7	54

Accuracy

100.0%

Counts

54 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	3.9%	(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
	100.0%	(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
	64.9%	#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))
▶	65.0%	#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))
▶	64.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
▶	65.3%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 146 to 130 computations (11% saved)

series6.0ms (0.3%)

Memory

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

Counts

21 → 30

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) -1 (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12)
2.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) -1 (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12)
1.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) -1 (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12)

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

rewrite335.0ms (19.2%)

Memory

-19.8MiB live, 136.9MiB allocated; 171ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	506
0	129	478
1	688	460
0	6470	446

Stop Event

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

Counts

51 → 400

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

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)))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x))))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) (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 (.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.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)))
(-.f64 (cosh.f64 x) (neg.f64 (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 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.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 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(neg.f64 (neg.f64 (expm1.f64 x)))
(fma.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (+.f64 x #s(literal 0 binary64)))
(expm1.f64 x)
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal -1 binary64)))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 x) (neg.f64 x)) (.f64 (neg.f64 x) x))
(/.f64 (+.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) x))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) x))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) x) (.f64 x x))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) #s(literal 1/8 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
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(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal -1 binary64)))
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 x (fma.f64 #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 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))) (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))))
(-.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (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))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (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))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))
(.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/144 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) x))))
(.f64 (fma.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 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 (fma.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 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 1/2 binary64) x) #s(literal -1/12 binary64)) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) x)) #s(literal 1/1728 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) #s(literal 1/144 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/144 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 x x) x)) #s(literal 1/1728 binary64)) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) #s(literal 1/144 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 (fma.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) x) #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 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) x) #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 (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 (-.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 1/1728 binary64) (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/144 binary64) (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) x) #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 (fma.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) x) #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)))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))
(neg.f64 (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64) #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 1/12 binary64) x #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 (.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 1/4 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 #s(literal 1/12 binary64) x) (.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 (.f64 #s(literal 1/12 binary64) x) (.f64 (/.f64 #s(literal -1/2 binary64) x) 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))
(+.f64 (/.f64 (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x x) x)) (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 1/8 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) (.f64 (.f64 x x) x)) (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 1/12 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/12 binary64) x)))
(+.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 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 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))
#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))
(.f64 (.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #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) (fma.f64 (*.f64 x x) #s(literal 1/2 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) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* 1/12 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/12 x) 1/2) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (/ (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) (-.f64 (/.f64 #s(literal 1 binary64) x) #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 (- x -1) (-.f64 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) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/12 binary64)) x))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (.f64 (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/12 binary64)) x) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/12 binary64)) x))

eval53.0ms (3%)

Memory: 9.0MiB live, 53.7MiB allocated; 6ms collecting garbage
Compiler: Compiled 3 305 to 1 390 computations (57.9% saved)

prune13.0ms (0.7%)

Memory

23.1MiB live, 23.1MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	364	7	371
Fresh	0	2	2
Picked	2	3	5
Done	0	0	0
Total	366	12	378

Accuracy

100.0%

Counts

378 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	3.9%	(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
▶	100.0%	(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
	65.1%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
	64.9%	#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))
	65.0%	#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))
▶	65.0%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x))
✓	65.3%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	64.8%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
▶	65.0%	#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)) (/.f64 #s(literal 1 binary64) x)))
	3.0%	#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))))
▶	3.4%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))

Compiler

Compiled 278 to 256 computations (7.9% saved)

series14.0ms (0.8%)

Memory

-28.8MiB live, 16.2MiB allocated; 3ms collecting garbage

Counts

28 → 45

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	((* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (exp x) x (- (exp (+ x x)) 1) (+ x x) (- (exp x) -1) -1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ 1 x) 1 -1/2 (/ (exp x) (- (exp x) 1)) (* (+ (* (+ (* 1/12 x) 1/2) x) 1) (/ 1 x)) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (+ (* 1/2 x) 1) (* (* x x) 1/12)) x) (+ (+ (* 1/2 x) 1) (* (* x x) 1/12)) (+ (* 1/2 x) 1) (* (* x x) 1/12) (* x x))
4.0ms	x	@	-inf	((* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (exp x) x (- (exp (+ x x)) 1) (+ x x) (- (exp x) -1) -1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ 1 x) 1 -1/2 (/ (exp x) (- (exp x) 1)) (* (+ (* (+ (* 1/12 x) 1/2) x) 1) (/ 1 x)) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (+ (* 1/2 x) 1) (* (* x x) 1/12)) x) (+ (+ (* 1/2 x) 1) (* (* x x) 1/12)) (+ (* 1/2 x) 1) (* (* x x) 1/12) (* x x))
3.0ms	x	@	inf	((* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (exp x) x (- (exp (+ x x)) 1) (+ x x) (- (exp x) -1) -1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ 1 x) 1 -1/2 (/ (exp x) (- (exp x) 1)) (* (+ (* (+ (* 1/12 x) 1/2) x) 1) (/ 1 x)) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (+ (* 1/2 x) 1) (* (* x x) 1/12)) x) (+ (+ (* 1/2 x) 1) (* (* x x) 1/12)) (+ (* 1/2 x) 1) (* (* x x) 1/12) (* x x))

Time

Variable

Point

Expression

6.0ms

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

4.0ms

-inf

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

3.0ms

inf

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

rewrite163.0ms (9.4%)

Memory

13.1MiB live, 152.9MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	861
0	216	817
1	1139	814
0	8460	776

Stop Event

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

Counts

73 → 424

Calls

Call 1

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

Outputs
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (+.f64 x x)))))
(.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(*.f64 (exp.f64 x) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (+.f64 x x))))
(/.f64 (.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (exp.f64 x))) (.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 (.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (exp.f64 x)) (.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 (+.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (neg.f64 (exp.f64 x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (expm1.f64 x))) (neg.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (exp.f64 x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (expm1.f64 x))) (expm1.f64 (+.f64 x x))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x))) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64))))) (neg.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (exp.f64 x)) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64))))) (expm1.f64 (+.f64 x x))))
(/.f64 (.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))) (.f64 (expm1.f64 x) (neg.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 (.f64 (expm1.f64 (+.f64 x x)) (exp.f64 x)) (.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))
(/.f64 (.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 (+.f64 x x)))) (.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x))))
(/.f64 (.f64 (neg.f64 (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (.f64 (neg.f64 (exp.f64 x)) (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64)))))))
(/.f64 (.f64 (neg.f64 (exp.f64 x)) (expm1.f64 (+.f64 x x))) (.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(/.f64 (.f64 (exp.f64 x) (neg.f64 (expm1.f64 (+.f64 x x)))) (.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))))
(/.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (.f64 (expm1.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (.f64 (exp.f64 x) (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64)))))))
(/.f64 (.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)) (exp.f64 x)) (neg.f64 (expm1.f64 (+.f64 x x))))
(/.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (expm1.f64 (+.f64 x x)))
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(fma.f64 x (*.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/12 binary64) x)))) (/.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/144 binary64) (.f64 x x))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (.f64 x (*.f64 #s(literal 1/12 binary64) x)))))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/12 binary64) (*.f64 x x)))))
(-.f64 (.f64 x (.f64 #s(literal 1/12 binary64) x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (.f64 #s(literal -1/12 binary64) (.f64 x x)))
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (.f64 (.f64 x (.f64 #s(literal 1/12 binary64) x)) (-.f64 (.f64 x (.f64 #s(literal 1/12 binary64) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/1728 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (.f64 (.f64 x (.f64 #s(literal 1/12 binary64) x)) (-.f64 (.f64 x (.f64 #s(literal 1/12 binary64) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/12 binary64) (*.f64 x x))))
(+.f64 (.f64 x (.f64 #s(literal 1/12 binary64) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/12 binary64) x)))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
(.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (/.f64 x x) (/.f64 x x))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x x)))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) (pow.f64 (/.f64 x x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 (.f64 (/.f64 x x) (/.f64 x x)) (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))))
(neg.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(neg.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 x x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 x x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) x) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (/.f64 x x)))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1/12 binary64))
(.f64 #s(literal -1/12 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/12 binary64) x))
(neg.f64 (.f64 #s(literal -1/12 binary64) (.f64 x x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(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(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (.f64 x x) #s(literal -1/12 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/30240 binary64) (.f64 x x) #s(literal 7/720 binary64)) (.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (-.f64 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 x)) 1) (+.f64 x x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(approx (- (exp x) -1) (-.f64 x #s(literal -2 binary64)))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (* 1/12 x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* 1/12 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/12 x) 1/2) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
#s(approx (* (* x x) 1/12) (.f64 x (.f64 #s(literal 1/12 binary64) x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (+.f64 x x)))
#s(approx (- (exp x) -1) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 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 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/12 binary64)) x))
#s(approx (- (/ 1 x) -1/2) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/12 binary64)) (.f64 x x)))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))))
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (+.f64 x x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/12 binary64)) x))

eval52.0ms (3%)

Memory: -18.0MiB live, 82.0MiB allocated; 17ms collecting garbage
Compiler: Compiled 3 982 to 1 701 computations (57.3% saved)

prune12.0ms (0.7%)

Memory

26.1MiB live, 26.1MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	408	2	410
Fresh	0	4	4
Picked	1	4	5
Done	0	3	3
Total	409	13	422

Accuracy

100.0%

Counts

422 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	3.9%	(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
✓	100.0%	(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
▶	65.6%	(*.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
▶	65.1%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
	64.9%	#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))
▶	65.0%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x))
▶	65.0%	#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))
✓	65.3%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	64.8%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	65.0%	#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)) (/.f64 #s(literal 1 binary64) x)))
▶	3.0%	#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))))
✓	3.4%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))

Compiler

Compiled 253 to 235 computations (7.1% saved)

series8.0ms (0.4%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Counts

25 → 40

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

rewrite113.0ms (6.5%)

Memory

-5.1MiB live, 86.7MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	865
0	191	787
1	1055	338
0	13251	290

Stop Event

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

Counts

65 → 129

Calls

Call 1

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

Outputs
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 #s(literal 2 binary64))) #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64))) (neg.f64 (expm1.f64 x)))
(/.f64 (.f64 (+.f64 x (exp.f64 #s(literal 3 binary64))) #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64))) (+.f64 x (.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (*.f64 (-.f64 (exp.f64 #s(literal 3 binary64)) #s(literal -1 binary64)) #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64))) (-.f64 (exp.f64 #s(literal 2 binary64)) (expm1.f64 x)))
(/.f64 (*.f64 (expm1.f64 #s(literal 2 binary64)) #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64))) (expm1.f64 x))
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)) #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(fma.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64)) x (*.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64)) (exp.f64 x)))
(fma.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64)) (exp.f64 x) (*.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64)) x))
(fma.f64 x #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64))))
(fma.f64 (exp.f64 x) #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64)) (*.f64 x #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64)) x) (.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64)) (exp.f64 x)))
(+.f64 (.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64)) (exp.f64 x)) (.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64)) x))
(+.f64 (.f64 x #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64))) (.f64 (exp.f64 x) #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64))))
(+.f64 (.f64 (exp.f64 x) #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64))) (.f64 x #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(*.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) (expm1.f64 #s(literal 3 binary64))) (-.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 x))))
(*.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) (expm1.f64 #s(literal 2 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(.f64 (+.f64 x (exp.f64 #s(literal 3 binary64))) (/.f64 x (+.f64 x (.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (-.f64 (exp.f64 #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 (exp.f64 #s(literal 2 binary64)) (expm1.f64 x))))
(*.f64 (neg.f64 (expm1.f64 #s(literal 2 binary64))) (/.f64 x (neg.f64 (expm1.f64 x))))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x)
(*.f64 (expm1.f64 #s(literal 2 binary64)) (/.f64 x (expm1.f64 x)))
(*.f64 x (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 x (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 3 binary64))) (+.f64 x (+.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 (exp.f64 x))))))
(/.f64 (neg.f64 (+.f64 x (exp.f64 #s(literal 3 binary64)))) (neg.f64 (+.f64 x (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (exp.f64 #s(literal 2 binary64)) (expm1.f64 x))))
(/.f64 (expm1.f64 #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (expm1.f64 x)))
(/.f64 (+.f64 x (exp.f64 #s(literal 3 binary64))) (+.f64 x (*.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (expm1.f64 #s(literal 6 binary64)) (*.f64 (+.f64 (exp.f64 #s(literal 4 binary64)) (+.f64 x (exp.f64 #s(literal 2 binary64)))) (expm1.f64 x)))
(/.f64 (-.f64 (exp.f64 #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 #s(literal 2 binary64)) (expm1.f64 x)))
(/.f64 (neg.f64 (expm1.f64 #s(literal 2 binary64))) (neg.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 #s(literal 2 binary64)) (expm1.f64 x))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 #s(literal 2 binary64))) (expm1.f64 x)))
(neg.f64 (/.f64 (expm1.f64 #s(literal 2 binary64)) (neg.f64 (expm1.f64 x))))
(neg.f64 (-.f64 (neg.f64 (exp.f64 x)) x))
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(fma.f64 x (exp.f64 x) x)
(fma.f64 (exp.f64 x) x x)
(-.f64 (/.f64 x (neg.f64 (expm1.f64 x))) (/.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (expm1.f64 x))))
(-.f64 (/.f64 (exp.f64 #s(literal 3 binary64)) (-.f64 (exp.f64 #s(literal 2 binary64)) (expm1.f64 x))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 #s(literal 2 binary64)) (expm1.f64 x))))
(-.f64 (/.f64 (exp.f64 #s(literal 2 binary64)) (expm1.f64 x)) (/.f64 x (expm1.f64 x)))
(-.f64 x (*.f64 (neg.f64 (exp.f64 x)) x))
(-.f64 x (neg.f64 (exp.f64 x)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 (/.f64 x (+.f64 x (.f64 (exp.f64 x) (expm1.f64 x)))) (/.f64 (exp.f64 #s(literal 3 binary64)) (+.f64 x (.f64 (exp.f64 x) (expm1.f64 x)))))
(+.f64 (/.f64 (exp.f64 #s(literal 2 binary64)) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(+.f64 x (exp.f64 x))
(+.f64 (exp.f64 x) x)
(*.f64 x (exp.f64 x))
(*.f64 (exp.f64 x) x)
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 #s(literal -1 binary64))) (.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 #s(literal -1 binary64)) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 #s(literal -1 binary64)) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 #s(literal -1 binary64)) (sinh.f64 x)))))
(neg.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x)))
(neg.f64 (neg.f64 (exp.f64 x)))
(fma.f64 (cosh.f64 #s(literal -1 binary64)) x (*.f64 (sinh.f64 x) x))
(fma.f64 x (cosh.f64 #s(literal -1 binary64)) (*.f64 x (sinh.f64 x)))
(-.f64 (cosh.f64 #s(literal -1 binary64)) (neg.f64 (sinh.f64 x)))
(exp.f64 x)
(+.f64 (.f64 x (cosh.f64 #s(literal -1 binary64))) (.f64 x (sinh.f64 x)))
(+.f64 (.f64 (cosh.f64 #s(literal -1 binary64)) x) (.f64 (sinh.f64 x) x))
(+.f64 (cosh.f64 #s(literal -1 binary64)) (sinh.f64 x))
#s(literal -1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(literal 7/12 binary64)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(literal 7/12 binary64))
#s(literal 7/12 binary64)
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64))
#s(literal 19/12 binary64)
x
#s(literal 1 binary64)
x
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64))
#s(literal 19/12 binary64)
#s(literal 19/12 binary64)
#s(literal 13/12 binary64)
x
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64))
#s(literal 19/12 binary64)
#s(literal 19/12 binary64)
#s(literal 3/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 3/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 1139/720 binary64))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 5/12 binary64))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 307/720 binary64))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 12863/30240 binary64))
#s(approx (* x x) x)
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(approx (- (exp x) -1) #s(literal 3 binary64))
#s(approx (- (exp x) -1) #s(literal 7/2 binary64))
#s(approx (- (exp x) -1) #s(literal 11/3 binary64))
#s(approx (exp x) x)
#s(approx (exp x) #s(literal 2 binary64))
#s(approx (exp x) #s(literal 5/2 binary64))
#s(approx (exp x) #s(literal 8/3 binary64))
#s(approx (+ (* 1/12 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/12 x) 1/2) #s(literal 7/12 binary64))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(literal 3/2 binary64))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(literal 19/12 binary64))
#s(approx (+ (* (* x x) 1/12) 1) #s(literal 13/12 binary64))
#s(approx (* x x) x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (exp.f64 x) (expm1.f64 #s(literal 2 binary64))))
#s(approx (- (exp x) -1) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(literal 1/12 binary64))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(literal 7/12 binary64))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(literal 19/12 binary64))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(literal 1/12 binary64))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(literal 7/12 binary64))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(literal 19/12 binary64))
#s(approx (+ (* (* x x) 1/12) 1) #s(literal 13/12 binary64))
#s(approx (+ (* 1/2 x) 1) #s(literal 1/2 binary64))
#s(approx (+ (* 1/2 x) 1) #s(literal 3/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (exp.f64 x) (expm1.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(literal 19/12 binary64))

eval19.0ms (1.1%)

Memory: -32.0MiB live, 14.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 833 to 367 computations (55.9% saved)

prune10.0ms (0.6%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Pruning

18 alts after pruning (6 fresh and 12 done)

	Pruned	Kept	Total
New	104	5	109
Fresh	0	1	1
Picked	0	5	5
Done	0	7	7
Total	104	18	122

Accuracy

100.0%

Counts

122 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	3.9%	(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
✓	100.0%	(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
✓	65.6%	(*.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
✓	65.1%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
	64.5%	#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(approx (+ (* 1/12 x) 1/2) #s(literal 7/12 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
	64.9%	#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))
✓	65.0%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x))
✓	65.0%	#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))
✓	65.3%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	64.8%	#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
✓	65.0%	#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)) (/.f64 #s(literal 1 binary64) x)))
✓	3.0%	#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))))
✓	3.4%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(literal 1/12 binary64)))
	3.4%	#s(approx (/ (exp x) (- (exp x) 1)) x)
	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64))
	3.2%	#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 3/2 binary64))

Compiler

Compiled 360 to 288 computations (20% saved)

regimes17.0ms (1%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms collecting garbage

Counts

22 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 3/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(literal 1/12 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)) (/.f64 #s(literal 1 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 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 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)) (fma.f64 #s(approx (+ (* 1/12 x) 1/2) #s(literal 7/12 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 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))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 #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)) (/.f64 #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))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.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 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 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 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))

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)))
4.0ms	(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 9 to 8 computations (11.1% saved)

regimes14.0ms (0.8%)

Memory

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

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 3/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(literal 1/12 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)) (/.f64 #s(literal 1 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 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 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)) (fma.f64 #s(approx (+ (* 1/12 x) 1/2) #s(literal 7/12 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 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))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 #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)) (/.f64 #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))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.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 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))

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

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
65.6%	1	`(exp.f64 x)`
65.6%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
65.6%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes24.0ms (1.4%)

Memory

-27.7MiB live, 24.0MiB allocated; 6ms collecting garbage

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 3/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(literal 1/12 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)) (/.f64 #s(literal 1 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 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 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)) (fma.f64 #s(approx (+ (* 1/12 x) 1/2) #s(literal 7/12 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 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))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 #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)) (/.f64 #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))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64))) x))

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

Calls

3 calls:

14.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
5.0ms	x
4.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
65.3%	1	`x`
65.3%	1	`(exp.f64 x)`
65.3%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes6.0ms (0.3%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 3/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(literal 1/12 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) 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
3.4%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
3.4%	1	`x`
3.4%	1	`(exp.f64 x)`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes4.0ms (0.2%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 3/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64))

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 3/2 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	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
3.2%	1	`(exp.f64 x)`
3.2%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

derivations171.0ms (9.8%)

Memory

-29.9MiB live, 105.9MiB allocated; 10ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 35 to 24 computations (31.4% saved)

preprocess69.0ms (4%)

Memory: 2.7MiB live, 54.6MiB allocated; 25ms collecting garbage
Compiler: Compiled 47 to 35 computations (25.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample478.0ms (27.4%)

preprocess37.0ms (2.1%)

series3.0ms (0.2%)

rewrite110.0ms (6.3%)

eval10.0ms (0.6%)

prune4.0ms (0.2%)

series6.0ms (0.3%)

rewrite335.0ms (19.2%)

eval53.0ms (3%)

prune13.0ms (0.7%)

series14.0ms (0.8%)

rewrite163.0ms (9.4%)

eval52.0ms (3%)

prune12.0ms (0.7%)

series8.0ms (0.4%)

rewrite113.0ms (6.5%)

eval19.0ms (1.1%)

prune10.0ms (0.6%)

regimes17.0ms (1%)

regimes14.0ms (0.8%)

regimes24.0ms (1.4%)

regimes6.0ms (0.3%)

regimes4.0ms (0.2%)

derivations171.0ms (9.8%)

preprocess69.0ms (4%)

end0.0ms (0%)

Profiling