Metrics for expq2 (section 3.11)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

1.5MiB live, 1.5MiB 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)

sample985.0ms (47.3%)

Memory

-48.6MiB live, 525.9MiB allocated; 1.0s collecting garbage

Samples

828.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 689.0ms

ival-exp: 563.0ms (81.7% of total)

ival-expm1: 82.0ms (11.9% of total)

ival-div!: 42.0ms (6.1% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

preprocess54.0ms (2.6%)

Memory

34.0MiB live, 34.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	29	26
2	98	26
3	397	26
4	5419	26

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.5%	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))

Compiler

Compiled 12 to 10 computations (16.7% saved)

series3.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB 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)
1.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1)

rewrite99.0ms (4.7%)

Memory

-36.4MiB live, 61.2MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	203
0	67	203
1	372	203
0	3272	160

Stop Event

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

Counts

20 → 47

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

eval4.0ms (0.2%)

Memory: 9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 356 to 166 computations (53.4% saved)

prune3.0ms (0.2%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	5	44

Accuracy

100.0%

Counts

44 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	99.6%	(.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))))
▶	65.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
▶	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
▶	65.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 100 to 92 computations (8% saved)

series12.0ms (0.6%)

Memory

19.8MiB live, 19.8MiB allocated; 0ms collecting garbage

Counts

26 → 58

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)
#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)
(.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 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))
(expm1.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 (+.f64 x x))
(+.f64 x x)

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (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 3)) 1)) #s(hole binary64 (/ 1/3 x)))
#s(approx (/ (exp x) (- (exp (* x 3)) 1)) #s(hole binary64 (/ (+ 1/3 (* -1/6 x)) x)))
#s(approx (/ (exp x) (- (exp (* x 3)) 1)) #s(hole binary64 (/ (+ 1/3 (* x (- (* -1/12 x) 1/6))) x)))
#s(approx (/ (exp x) (- (exp (* x 3)) 1)) #s(hole binary64 (/ (+ 1/3 (* x (- (* x (- (* 1/18 x) 1/12)) 1/6))) x)))
#s(approx (- (exp (* x 3)) 1) #s(hole binary64 (* 3 x)))
#s(approx (- (exp (* x 3)) 1) #s(hole binary64 (* x (+ 3 (* 9/2 x)))))
#s(approx (- (exp (* x 3)) 1) #s(hole binary64 (* x (+ 3 (* x (+ 9/2 (* 9/2 x)))))))
#s(approx (- (exp (* x 3)) 1) #s(hole binary64 (* x (+ 3 (* x (+ 9/2 (* x (+ 9/2 (* 27/8 x)))))))))
#s(approx (+ (- (exp x) -1) (exp (+ x x))) #s(hole binary64 3))
#s(approx (+ (- (exp x) -1) (exp (+ x x))) #s(hole binary64 (+ 3 (* 3 x))))
#s(approx (+ (- (exp x) -1) (exp (+ x x))) #s(hole binary64 (+ 3 (* x (+ 3 (* 5/2 x))))))
#s(approx (+ (- (exp x) -1) (exp (+ x x))) #s(hole binary64 (+ 3 (* x (+ 3 (* x (+ 5/2 (* 3/2 x))))))))
#s(approx (- (exp x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 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 (/ (+ (* (+ (* 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 (* (/ (exp x) (- (exp (* x 3)) 1)) (+ (- (exp x) -1) (exp (+ x x)))) #s(hole binary64 (/ (* (exp x) (+ 1 (+ (exp x) (exp (* 2 x))))) (- (exp (* 3 x)) 1))))
#s(approx (/ (exp x) (- (exp (* x 3)) 1)) #s(hole binary64 (/ (exp x) (- (exp (* 3 x)) 1))))
#s(approx (- (exp (* x 3)) 1) #s(hole binary64 (- (exp (* 3 x)) 1)))
#s(approx (+ (- (exp x) -1) (exp (+ x x))) #s(hole binary64 (+ 1 (+ (exp x) (exp (* 2 x))))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (* (/ (exp x) (- (exp (* x 3)) 1)) (+ (- (exp x) -1) (exp (+ x x)))) #s(hole binary64 (/ (* (exp x) (+ 1 (+ (exp x) (exp (neg (* -2 x)))))) (- (exp (* 3 x)) 1))))
#s(approx (+ (- (exp x) -1) (exp (+ x x))) #s(hole binary64 (+ 1 (+ (exp x) (exp (neg (* -2 x)))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ 1 x) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12 (* (/ (exp x) (- (exp (* x 3)) 1)) (+ (- (exp x) -1) (exp (+ x x)))) (/ (exp x) (- (exp (* x 3)) 1)) (- (exp (* x 3)) 1) (* x 3) 3 (+ (- (exp x) -1) (exp (+ x x))) (- (exp x) -1) -1 (exp (+ x x)) (+ x x))
4.0ms	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)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12 (* (/ (exp x) (- (exp (* x 3)) 1)) (+ (- (exp x) -1) (exp (+ x x)))) (/ (exp x) (- (exp (* x 3)) 1)) (- (exp (* x 3)) 1) (* x 3) 3 (+ (- (exp x) -1) (exp (+ x x))) (- (exp x) -1) -1 (exp (+ x x)) (+ x x))
3.0ms	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)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12 (* (/ (exp x) (- (exp (* x 3)) 1)) (+ (- (exp x) -1) (exp (+ x x)))) (/ (exp x) (- (exp (* x 3)) 1)) (- (exp (* x 3)) 1) (* x 3) 3 (+ (- (exp x) -1) (exp (+ x x))) (- (exp x) -1) -1 (exp (+ x x)) (+ x x))

Time

Variable

Point

Expression

4.0ms

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

4.0ms

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

3.0ms

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

rewrite167.0ms (8%)

Memory

-37.8MiB live, 154.7MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	238	972
0	264	934
1	1363	934
0	8146	897

Stop Event

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

Counts

84 → 328

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)
#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)
(.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 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))
(expm1.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 (+.f64 x x))
(+.f64 x x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (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 3)) 1)) #s(hole binary64 (/ 1/3 x)))
#s(approx (/ (exp x) (- (exp (* x 3)) 1)) #s(hole binary64 (/ (+ 1/3 (* -1/6 x)) x)))
#s(approx (/ (exp x) (- (exp (* x 3)) 1)) #s(hole binary64 (/ (+ 1/3 (* x (- (* -1/12 x) 1/6))) x)))
#s(approx (/ (exp x) (- (exp (* x 3)) 1)) #s(hole binary64 (/ (+ 1/3 (* x (- (* x (- (* 1/18 x) 1/12)) 1/6))) x)))
#s(approx (- (exp (* x 3)) 1) #s(hole binary64 (* 3 x)))
#s(approx (- (exp (* x 3)) 1) #s(hole binary64 (* x (+ 3 (* 9/2 x)))))
#s(approx (- (exp (* x 3)) 1) #s(hole binary64 (* x (+ 3 (* x (+ 9/2 (* 9/2 x)))))))
#s(approx (- (exp (* x 3)) 1) #s(hole binary64 (* x (+ 3 (* x (+ 9/2 (* x (+ 9/2 (* 27/8 x)))))))))
#s(approx (+ (- (exp x) -1) (exp (+ x x))) #s(hole binary64 3))
#s(approx (+ (- (exp x) -1) (exp (+ x x))) #s(hole binary64 (+ 3 (* 3 x))))
#s(approx (+ (- (exp x) -1) (exp (+ x x))) #s(hole binary64 (+ 3 (* x (+ 3 (* 5/2 x))))))
#s(approx (+ (- (exp x) -1) (exp (+ x x))) #s(hole binary64 (+ 3 (* x (+ 3 (* x (+ 5/2 (* 3/2 x))))))))
#s(approx (- (exp x) -1) #s(hole binary64 2))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x)))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x))))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 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 (/ (+ (* (+ (* 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 (* (/ (exp x) (- (exp (* x 3)) 1)) (+ (- (exp x) -1) (exp (+ x x)))) #s(hole binary64 (/ (* (exp x) (+ 1 (+ (exp x) (exp (* 2 x))))) (- (exp (* 3 x)) 1))))
#s(approx (/ (exp x) (- (exp (* x 3)) 1)) #s(hole binary64 (/ (exp x) (- (exp (* 3 x)) 1))))
#s(approx (- (exp (* x 3)) 1) #s(hole binary64 (- (exp (* 3 x)) 1)))
#s(approx (+ (- (exp x) -1) (exp (+ x x))) #s(hole binary64 (+ 1 (+ (exp x) (exp (* 2 x))))))
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (* (/ (exp x) (- (exp (* x 3)) 1)) (+ (- (exp x) -1) (exp (+ x x)))) #s(hole binary64 (/ (* (exp x) (+ 1 (+ (exp x) (exp (neg (* -2 x)))))) (- (exp (* 3 x)) 1))))
#s(approx (+ (- (exp x) -1) (exp (+ x x))) #s(hole binary64 (+ 1 (+ (exp x) (exp (neg (* -2 x)))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))

Outputs
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(exp.f64 x)
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64)))))))
(/.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.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 #s(literal 3 binary64) x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64)))))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.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)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) x) (/.f64 (.f64 #s(literal 1/2 binary64) x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) x) (/.f64 (.f64 #s(literal 1/2 binary64) x) x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) x) (/.f64 (.f64 #s(literal 1/2 binary64) x) x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (pow.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) x) (/.f64 (.f64 #s(literal 1/2 binary64) x) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x)))))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 x) (.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 x #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) x))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(*.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 (/.f64 #s(literal 1 binary64) x)) (.f64 x (/.f64 #s(literal 1 binary64) x)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 x (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) 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) (pow.f64 (.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 (.f64 (.f64 x (/.f64 #s(literal 1 binary64) x)) (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) #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 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (+.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 1/4 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 #s(literal 1/8 binary64) (.f64 (.f64 x x) x) #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 1/8 binary64) (.f64 (.f64 x x) x))) (+.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)))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))))
(/.f64 (-.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64)))) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(fma.f64 (fabs.f64 (exp.f64 x)) (fabs.f64 (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))) (/.f64 (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))))
(-.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) #s(literal -1 binary64))
(-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x)))
(-.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))
(+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))) (/.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))))) (/.f64 (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))))))
(+.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) #s(literal 1 binary64))
(+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 #s(literal 0 binary64) x))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x)))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) x))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x #s(literal 0 binary64))))))
(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(-.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))))
(-.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 #s(literal 0 binary64) x))))) (/.f64 (exp.f64 (*.f64 #s(literal 3 binary64) x)) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 #s(literal 0 binary64) x))))))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal -1 binary64)
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 (fabs.f64 (exp.f64 x)) (fabs.f64 (exp.f64 x)))
(*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 x) (exp.f64 x))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (neg.f64 x))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x))) (.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))) (-.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))))
(/.f64 (-.f64 (.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x))) (.f64 (sinh.f64 (.f64 #s(literal -2 binary64) x)) (sinh.f64 (.f64 #s(literal -2 binary64) x)))) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (+.f64 x x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)) (-.f64 (.f64 (sinh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))) (.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x)) (fma.f64 (sinh.f64 (.f64 #s(literal -2 binary64) x)) (sinh.f64 (.f64 #s(literal -2 binary64) x)) (.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(-.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x))
(exp.f64 (+.f64 x x))
(+.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x)))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 x x) (-.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 x x (.f64 (+.f64 x x) (-.f64 x x)))))
(/.f64 (*.f64 (+.f64 x x) (-.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x)) (fma.f64 x x (.f64 (+.f64 x x) (-.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 (.f64 x x) (-.f64 x x)) (/.f64 (.f64 x x) (-.f64 x x)))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (.f64 (+.f64 x x) (-.f64 x x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (.f64 (+.f64 x x) (-.f64 x x)))))
(+.f64 x x)
#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 (+ (* 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 3)) 1)) (/.f64 #s(literal 1/3 binary64) x))
#s(approx (/ (exp x) (- (exp (* x 3)) 1)) (/.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/3 binary64)) x))
#s(approx (/ (exp x) (- (exp (* x 3)) 1)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 1/6 binary64)) x #s(literal 1/3 binary64)) x))
#s(approx (/ (exp x) (- (exp (* x 3)) 1)) (/.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/18 binary64) x) #s(literal 1/12 binary64)) x) #s(literal 1/6 binary64)) x #s(literal 1/3 binary64)) x))
#s(approx (- (exp (* x 3)) 1) (*.f64 #s(literal 3 binary64) x))
#s(approx (- (exp (* x 3)) 1) (*.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x))
#s(approx (- (exp (* x 3)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) x))
#s(approx (- (exp (* x 3)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 27/8 binary64) x #s(literal 9/2 binary64)) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) x))
#s(approx (+ (- (exp x) -1) (exp (+ x x))) #s(literal 3 binary64))
#s(approx (+ (- (exp x) -1) (exp (+ x x))) (fma.f64 #s(literal 3 binary64) x #s(literal 3 binary64)))
#s(approx (+ (- (exp x) -1) (exp (+ x x))) (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 3 binary64)) x #s(literal 3 binary64)))
#s(approx (+ (- (exp x) -1) (exp (+ x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 5/2 binary64)) x #s(literal 3 binary64)) x #s(literal 3 binary64)))
#s(approx (- (exp x) -1) #s(literal 2 binary64))
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))
#s(approx (exp (+ x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x 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))
#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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64)) x))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64)) (*.f64 x x)))
#s(approx (* (/ (exp x) (- (exp (* x 3)) 1)) (+ (- (exp x) -1) (exp (+ x x)))) (.f64 (exp.f64 x) (/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) (expm1.f64 (.f64 #s(literal 3 binary64) x)))))
#s(approx (/ (exp x) (- (exp (* x 3)) 1)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (exp (* x 3)) 1) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))
#s(approx (+ (- (exp x) -1) (exp (+ x x))) (-.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))
#s(approx (- (exp x) -1) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal 1/12 binary64)) x)))
#s(approx (* (/ (exp x) (- (exp (* x 3)) 1)) (+ (- (exp x) -1) (exp (+ x x)))) (.f64 (exp.f64 x) (/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) (expm1.f64 (.f64 #s(literal 3 binary64) x)))))
#s(approx (+ (- (exp x) -1) (exp (+ x x))) (-.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))

eval36.0ms (1.7%)

Memory: 5.1MiB live, 50.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 3 668 to 1 399 computations (61.9% saved)

prune9.0ms (0.4%)

Memory

20.6MiB live, 20.6MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	304	6	310
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	305	10	315

Accuracy

100.0%

Counts

315 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
	99.5%	(.f64 (/.f64 (exp.f64 x) (/.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))))))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
▶	99.7%	(.f64 (exp.f64 x) (/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) (expm1.f64 (.f64 #s(literal 3 binary64) x))))
✓	65.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
✓	65.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	34.5%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64)) x)))
▶	3.3%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
▶	34.6%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal 1/12 binary64)) x))))
▶	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))

Compiler

Compiled 275 to 258 computations (6.2% saved)

series15.0ms (0.7%)

Memory

-22.8MiB live, 22.9MiB allocated; 4ms collecting garbage

Counts

38 → 71

Calls

Call 1

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

Outputs
#s(approx (* (exp x) (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1))) #s(hole binary64 (/ 1 x)))
#s(approx (* (exp x) (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1))) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (* (exp x) (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1))) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (* (exp x) (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 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 (exp (+ x x)))) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (+ 1 (* -1/2 x)) x)))
#s(approx (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (+ 1 (* x (- (* 1/12 x) 1/2))) x)))
#s(approx (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (- (exp x) (- -1 (exp (+ x x)))) #s(hole binary64 3))
#s(approx (- (exp x) (- -1 (exp (+ x x)))) #s(hole binary64 (+ 3 (* 3 x))))
#s(approx (- (exp x) (- -1 (exp (+ x x)))) #s(hole binary64 (+ 3 (* x (+ 3 (* 5/2 x))))))
#s(approx (- (exp x) (- -1 (exp (+ x x)))) #s(hole binary64 (+ 3 (* x (+ 3 (* x (+ 5/2 (* 3/2 x))))))))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 -2))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 (- (* -2 x) 2)))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 (- (* x (- (* -2 x) 2)) 2)))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 (- (* x (- (* x (- (* -4/3 x) 2)) 2)) 2)))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (* 3 x)) 1) #s(hole binary64 (* 3 x)))
#s(approx (- (exp (* 3 x)) 1) #s(hole binary64 (* x (+ 3 (* 9/2 x)))))
#s(approx (- (exp (* 3 x)) 1) #s(hole binary64 (* x (+ 3 (* x (+ 9/2 (* 9/2 x)))))))
#s(approx (- (exp (* 3 x)) 1) #s(hole binary64 (* x (+ 3 (* x (+ 9/2 (* x (+ 9/2 (* 27/8 x)))))))))
#s(approx (* 1/12 x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (/ -1 x)))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (/ (- (* -1/2 x) 1) x)))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (/ (- (* x (- (* -1/12 x) 1/2)) 1) x)))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 (/ (- (* -1/2 x) 1) (pow x 2))))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 (/ (- (* x (- (* -1/12 x) 1/2)) 1) (pow x 2))))
#s(approx (/ (- (/ 1 x) -1/2) x) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (- (/ 1 x) -1/2) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) (pow x 2))))
#s(approx (+ (+ (/ 1 (* x x)) (/ 1/2 x)) 1/12) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (* (exp x) (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1))) #s(hole binary64 (/ (* (exp x) (+ 1 (+ (exp x) (exp (* 2 x))))) (- (exp (* 3 x)) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (+ 1 (+ (exp x) (exp (* 2 x)))) (- (exp (* 3 x)) 1))))
#s(approx (- (exp x) (- -1 (exp (+ x x)))) #s(hole binary64 (+ 1 (+ (exp x) (exp (* 2 x))))))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 (* -1 (+ 1 (exp (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (- (exp (* 3 x)) 1) #s(hole binary64 (- (exp (* 3 x)) 1)))
#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 (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (* -1/12 x)))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (* -1 (* x (+ 1/12 (* 1/2 (/ 1 x)))))))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 -1/12))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 (* -1 (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
#s(approx (neg (/ (- (/ 1 x) -1/2) x)) #s(hole binary64 (/ -1/2 x)))
#s(approx (neg (/ (- (/ 1 x) -1/2) x)) #s(hole binary64 (* -1 (/ (+ 1/2 (/ 1 x)) x))))
#s(approx (/ (- (/ 1 x) -1/2) x) #s(hole binary64 (/ (+ 1/2 (/ 1 x)) x)))
#s(approx (+ (+ (/ 1 (* x x)) (/ 1/2 x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (+ (/ 1 (* x x)) (/ 1/2 x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/2 (/ 1 x)))))
#s(approx (+ (+ (/ 1 (* x x)) (/ 1/2 x)) 1/12) #s(hole binary64 (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
#s(approx (* (exp x) (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1))) #s(hole binary64 (/ (* (exp x) (+ 1 (+ (exp x) (exp (neg (* -2 x)))))) (- (exp (* 3 x)) 1))))
#s(approx (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (+ 1 (+ (exp x) (exp (neg (* -2 x))))) (- (exp (* 3 x)) 1))))
#s(approx (- (exp x) (- -1 (exp (+ x x)))) #s(hole binary64 (+ 1 (+ (exp x) (exp (neg (* -2 x)))))))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 (* -1 (+ 1 (exp (neg (* -2 x)))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (* -1 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((* (exp x) (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1))) (exp x) x (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1)) (- (exp x) (- -1 (exp (+ x x)))) (- -1 (exp (+ x x))) -1 (exp (+ x x)) (+ x x) (- (exp (* 3 x)) 1) (* 3 x) 3 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (- (/ 1 x) -1/2) (/ 1 x) 1 -1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x)) (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (neg (/ (- (/ 1 x) -1/2) x)) (/ (- (/ 1 x) -1/2) x) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (+ (+ (/ 1 (* x x)) (/ 1/2 x)) 1/12) x) (+ (+ (/ 1 (* x x)) (/ 1/2 x)) 1/12) (+ (/ 1 (* x x)) (/ 1/2 x)) (/ 1 (* x x)) (* x x) (/ 1/2 x) 1/2)
4.0ms	x	@	inf	((* (exp x) (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1))) (exp x) x (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1)) (- (exp x) (- -1 (exp (+ x x)))) (- -1 (exp (+ x x))) -1 (exp (+ x x)) (+ x x) (- (exp (* 3 x)) 1) (* 3 x) 3 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (- (/ 1 x) -1/2) (/ 1 x) 1 -1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x)) (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (neg (/ (- (/ 1 x) -1/2) x)) (/ (- (/ 1 x) -1/2) x) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (+ (+ (/ 1 (* x x)) (/ 1/2 x)) 1/12) x) (+ (+ (/ 1 (* x x)) (/ 1/2 x)) 1/12) (+ (/ 1 (* x x)) (/ 1/2 x)) (/ 1 (* x x)) (* x x) (/ 1/2 x) 1/2)
3.0ms	x	@	0	((* (exp x) (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1))) (exp x) x (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1)) (- (exp x) (- -1 (exp (+ x x)))) (- -1 (exp (+ x x))) -1 (exp (+ x x)) (+ x x) (- (exp (* 3 x)) 1) (* 3 x) 3 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* 1/12 x) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (- (/ 1 x) -1/2) (/ 1 x) 1 -1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x)) (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (neg (/ (- (/ 1 x) -1/2) x)) (/ (- (/ 1 x) -1/2) x) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (+ (+ (/ 1 (* x x)) (/ 1/2 x)) 1/12) x) (+ (+ (/ 1 (* x x)) (/ 1/2 x)) 1/12) (+ (/ 1 (* x x)) (/ 1/2 x)) (/ 1 (* x x)) (* x x) (/ 1/2 x) 1/2)

Time

Variable

Point

Expression

7.0ms

-inf

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

4.0ms

inf

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

3.0ms

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

rewrite138.0ms (6.6%)

Memory

44.5MiB live, 141.6MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	1615
0	315	1558
1	1503	1558
0	8095	1488

Stop Event

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

Counts

109 → 347

Calls

Call 1

Inputs
(.f64 (exp.f64 x) (/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) (expm1.f64 (.f64 #s(literal 3 binary64) x))))
(exp.f64 x)
x
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))
(-.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))
(-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))
#s(literal -1 binary64)
(exp.f64 (+.f64 x x))
(+.f64 x x)
(expm1.f64 (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg.f64 (*.f64 (-.f64 (neg.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) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal 1/12 binary64)) x)))
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal 1/12 binary64)) x))
(*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal 1/12 binary64)) x)
(-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal 1/12 binary64))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64)) x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64)) x))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64)) x)
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (* (exp x) (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1))) #s(hole binary64 (/ 1 x)))
#s(approx (* (exp x) (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1))) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (* (exp x) (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1))) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (* (exp x) (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 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 (exp (+ x x)))) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (+ 1 (* -1/2 x)) x)))
#s(approx (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (+ 1 (* x (- (* 1/12 x) 1/2))) x)))
#s(approx (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (- (exp x) (- -1 (exp (+ x x)))) #s(hole binary64 3))
#s(approx (- (exp x) (- -1 (exp (+ x x)))) #s(hole binary64 (+ 3 (* 3 x))))
#s(approx (- (exp x) (- -1 (exp (+ x x)))) #s(hole binary64 (+ 3 (* x (+ 3 (* 5/2 x))))))
#s(approx (- (exp x) (- -1 (exp (+ x x)))) #s(hole binary64 (+ 3 (* x (+ 3 (* x (+ 5/2 (* 3/2 x))))))))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 -2))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 (- (* -2 x) 2)))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 (- (* x (- (* -2 x) 2)) 2)))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 (- (* x (- (* x (- (* -4/3 x) 2)) 2)) 2)))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (- (exp (* 3 x)) 1) #s(hole binary64 (* 3 x)))
#s(approx (- (exp (* 3 x)) 1) #s(hole binary64 (* x (+ 3 (* 9/2 x)))))
#s(approx (- (exp (* 3 x)) 1) #s(hole binary64 (* x (+ 3 (* x (+ 9/2 (* 9/2 x)))))))
#s(approx (- (exp (* 3 x)) 1) #s(hole binary64 (* x (+ 3 (* x (+ 9/2 (* x (+ 9/2 (* 27/8 x)))))))))
#s(approx (* 1/12 x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (/ -1 x)))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (/ (- (* -1/2 x) 1) x)))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (/ (- (* x (- (* -1/12 x) 1/2)) 1) x)))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 (/ (- (* -1/2 x) 1) (pow x 2))))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 (/ (- (* x (- (* -1/12 x) 1/2)) 1) (pow x 2))))
#s(approx (/ (- (/ 1 x) -1/2) x) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (- (/ 1 x) -1/2) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) (pow x 2))))
#s(approx (+ (+ (/ 1 (* x x)) (/ 1/2 x)) 1/12) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (* (exp x) (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1))) #s(hole binary64 (/ (* (exp x) (+ 1 (+ (exp x) (exp (* 2 x))))) (- (exp (* 3 x)) 1))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (+ 1 (+ (exp x) (exp (* 2 x)))) (- (exp (* 3 x)) 1))))
#s(approx (- (exp x) (- -1 (exp (+ x x)))) #s(hole binary64 (+ 1 (+ (exp x) (exp (* 2 x))))))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 (* -1 (+ 1 (exp (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (- (exp (* 3 x)) 1) #s(hole binary64 (- (exp (* 3 x)) 1)))
#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 (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (* -1/12 x)))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (* -1 (* x (+ 1/12 (* 1/2 (/ 1 x)))))))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 -1/12))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 (* -1 (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
#s(approx (neg (/ (- (/ 1 x) -1/2) x)) #s(hole binary64 (/ -1/2 x)))
#s(approx (neg (/ (- (/ 1 x) -1/2) x)) #s(hole binary64 (* -1 (/ (+ 1/2 (/ 1 x)) x))))
#s(approx (/ (- (/ 1 x) -1/2) x) #s(hole binary64 (/ (+ 1/2 (/ 1 x)) x)))
#s(approx (+ (+ (/ 1 (* x x)) (/ 1/2 x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (+ (/ 1 (* x x)) (/ 1/2 x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/2 (/ 1 x)))))
#s(approx (+ (+ (/ 1 (* x x)) (/ 1/2 x)) 1/12) #s(hole binary64 (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
#s(approx (* (exp x) (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1))) #s(hole binary64 (/ (* (exp x) (+ 1 (+ (exp x) (exp (neg (* -2 x)))))) (- (exp (* 3 x)) 1))))
#s(approx (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (+ 1 (+ (exp x) (exp (neg (* -2 x))))) (- (exp (* 3 x)) 1))))
#s(approx (- (exp x) (- -1 (exp (+ x x)))) #s(hole binary64 (+ 1 (+ (exp x) (exp (neg (* -2 x)))))))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 (* -1 (+ 1 (exp (neg (* -2 x)))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (* -1 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))))

Outputs
(.f64 (/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (exp.f64 x))
(.f64 (exp.f64 x) (/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) (expm1.f64 (.f64 #s(literal 3 binary64) x))))
(/.f64 (neg.f64 (.f64 (exp.f64 x) (-.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))) (neg.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x))))
(/.f64 (.f64 (exp.f64 x) (-.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))) (expm1.f64 (.f64 #s(literal 3 binary64) x)))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(exp.f64 x)
(+.f64 (cosh.f64 x) (sinh.f64 x))
x
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x)))) (.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) (expm1.f64 (.f64 #s(literal 3 binary64) x))))) (+.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) (expm1.f64 (.f64 #s(literal 3 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) (expm1.f64 (.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))) (.f64 (expm1.f64 (.f64 #s(literal 3 binary64) x)) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))) (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))))
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))
(-.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) (expm1.f64 (.f64 #s(literal 3 binary64) x))))
(+.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (.f64 #s(literal 3 binary64) x))))
(/.f64 (-.f64 (.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64)))) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))
(/.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)) (.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) #s(literal 2 binary64))) (+.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)) (.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)) (+.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))))
(-.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)) (.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))))) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) #s(literal 3 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)) (*.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))))))
(-.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))
(+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))))) (neg.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))
(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))) (/.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))))))
(-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))
#s(literal -1 binary64)
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 (fabs.f64 (exp.f64 x)) (fabs.f64 (exp.f64 x)))
(*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 x) (exp.f64 x))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (neg.f64 x))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
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(fma.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))
(+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x))))) (/.f64 (pow.f64 x #s(literal -6 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x))))))
(+.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x))))))
(+.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) x)) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))
(.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) x)) (fabs.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(*.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)))
(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))))
(*.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 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (* (exp x) (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1))) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (exp x) (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (* (exp x) (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 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 (exp (+ x x)))) (- (exp (* 3 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 #s(literal 1 binary64) x))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (-.f64 (.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) (- -1 (exp (+ x x)))) #s(literal 3 binary64))
#s(approx (- (exp x) (- -1 (exp (+ x x)))) (fma.f64 #s(literal 3 binary64) x #s(literal 3 binary64)))
#s(approx (- (exp x) (- -1 (exp (+ x x)))) (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 3 binary64)) x #s(literal 3 binary64)))
#s(approx (- (exp x) (- -1 (exp (+ x x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/2 binary64) x #s(literal 5/2 binary64)) x #s(literal 3 binary64)) x #s(literal 3 binary64)))
#s(approx (- -1 (exp (+ x x))) #s(literal -2 binary64))
#s(approx (- -1 (exp (+ x x))) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))
#s(approx (- -1 (exp (+ x x))) (-.f64 (.f64 (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)))
#s(approx (- -1 (exp (+ x x))) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)))
#s(approx (exp (+ x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (- (exp (* 3 x)) 1) (*.f64 #s(literal 3 binary64) x))
#s(approx (- (exp (* 3 x)) 1) (*.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x))
#s(approx (- (exp (* 3 x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) x))
#s(approx (- (exp (* 3 x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 27/8 binary64) x #s(literal 9/2 binary64)) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) x))
#s(approx (* 1/12 x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) (/.f64 #s(literal -1 binary64) x))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (- (/ 1 x) -1/2) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ (- (/ 1 x) -1/2) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (+ (/ 1 (* x x)) (/ 1/2 x)) 1/12) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (* (exp x) (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1))) (/.f64 (.f64 (+.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x))))
#s(approx (exp x) (exp.f64 x))
#s(approx (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1)) (/.f64 (+.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (exp x) (- -1 (exp (+ x x)))) (+.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) #s(literal 1 binary64)))
#s(approx (- -1 (exp (+ x x))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))
#s(approx (- (exp (* 3 x)) 1) (expm1.f64 (*.f64 #s(literal 3 binary64) 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) (*.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 (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))
#s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) (*.f64 #s(literal -1/12 binary64) x))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x)))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64)) x))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(literal -1/12 binary64))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64))))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64)))
#s(approx (neg (/ (- (/ 1 x) -1/2) x)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (neg (/ (- (/ 1 x) -1/2) x)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))
#s(approx (/ (- (/ 1 x) -1/2) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (+ (+ (/ 1 (* x x)) (/ 1/2 x)) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (+ (/ 1 (* x x)) (/ 1/2 x)) 1/12) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)))
#s(approx (+ (+ (/ 1 (* x x)) (/ 1/2 x)) 1/12) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64)))
#s(approx (* (exp x) (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1))) (/.f64 (.f64 (+.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (.f64 #s(literal 3 binary64) x))))
#s(approx (/ (- (exp x) (- -1 (exp (+ x x)))) (- (exp (* 3 x)) 1)) (/.f64 (+.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (exp x) (- -1 (exp (+ x x)))) (+.f64 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) #s(literal 1 binary64)))
#s(approx (- -1 (exp (+ x x))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64)) x)))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) (neg.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64)) x)))

eval56.0ms (2.7%)

Memory: 0.6MiB live, 46.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 362 to 2 045 computations (53.1% saved)

prune14.0ms (0.7%)

Memory

-28.6MiB live, 17.2MiB allocated; 4ms collecting garbage

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	324	4	328
Fresh	1	0	1
Picked	1	4	5
Done	0	4	4
Total	326	12	338

Accuracy

100.0%

Counts

338 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	99.7%	(.f64 (exp.f64 x) (/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) (expm1.f64 (.f64 #s(literal 3 binary64) x))))
▶	99.6%	(.f64 (exp.f64 x) (-.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))))
✓	65.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
✓	65.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	34.6%	#s(approx (/ (exp x) (- (exp x) 1)) #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)))
✓	34.5%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64)) x)))
✓	3.3%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
▶	50.9%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg.f64 (.f64 #s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x))) x))))
✓	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
▶	3.1%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))

Compiler

Compiled 186 to 173 computations (7% saved)

series14.0ms (0.7%)

Memory

20.1MiB live, 20.1MiB allocated; 0ms collecting garbage

Counts

32 → 74

Calls

Call 1

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

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (/ -1 x)))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (/ (- (* -1/2 x) 1) x)))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (/ (- (* x (- (* -1/12 x) 1/2)) 1) x)))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 (/ (- (* -1/2 x) 1) (pow x 2))))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 (/ (- (* x (- (* -1/12 x) 1/2)) 1) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (/ (+ (/ 1 x) 1/2) x) 1/12) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (+ (/ (+ (/ 1 x) 1/2) x) 1/12) #s(hole binary64 (/ (+ 1 (* 1/2 x)) (pow x 2))))
#s(approx (+ (/ (+ (/ 1 x) 1/2) x) 1/12) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) (pow x 2))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1))) #s(hole binary64 (/ (+ 1 (* -1/2 x)) x)))
#s(approx (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1))) #s(hole binary64 (/ (+ 1 (* x (- (* 1/12 x) 1/2))) x)))
#s(approx (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1))) #s(hole binary64 (/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (/ (exp x) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ 1/3 x)))
#s(approx (/ (exp x) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (+ 1/3 (* -1/6 x)) x)))
#s(approx (/ (exp x) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (+ 1/3 (* x (- (* -1/12 x) 1/6))) x)))
#s(approx (/ (exp x) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (+ 1/3 (* x (- (* x (- (* 1/18 x) 1/12)) 1/6))) x)))
#s(approx (- (exp (* 3 x)) 1) #s(hole binary64 (* 3 x)))
#s(approx (- (exp (* 3 x)) 1) #s(hole binary64 (* x (+ 3 (* 9/2 x)))))
#s(approx (- (exp (* 3 x)) 1) #s(hole binary64 (* x (+ 3 (* x (+ 9/2 (* 9/2 x)))))))
#s(approx (- (exp (* 3 x)) 1) #s(hole binary64 (* x (+ 3 (* x (+ 9/2 (* x (+ 9/2 (* 27/8 x)))))))))
#s(approx (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ -2/3 x)))
#s(approx (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (- (* 1/3 x) 2/3) x)))
#s(approx (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (- (* x (+ 1/3 (* -1/6 x))) 2/3) x)))
#s(approx (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (- (* x (+ 1/3 (* x (- (* 1/18 x) 1/6)))) 2/3) x)))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 -2))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 (- (* -2 x) 2)))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 (- (* x (- (* -2 x) 2)) 2)))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 (- (* x (- (* x (- (* -4/3 x) 2)) 2)) 2)))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (/ (+ (* (+ (* 1/12 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 (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (* -1/12 x)))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (* -1 (* x (+ 1/12 (* 1/2 (/ 1 x)))))))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 -1/12))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 (* -1 (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
#s(approx (+ (/ (+ (/ 1 x) 1/2) x) 1/12) #s(hole binary64 1/12))
#s(approx (+ (/ (+ (/ 1 x) 1/2) x) 1/12) #s(hole binary64 (+ 1/12 (* 1/2 (/ 1 x)))))
#s(approx (+ (/ (+ (/ 1 x) 1/2) x) 1/12) #s(hole binary64 (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
#s(approx (/ (+ (/ 1 x) 1/2) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ (/ 1 x) 1/2) x) #s(hole binary64 (/ (+ 1/2 (/ 1 x)) x)))
#s(approx (* (exp x) (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)))) #s(hole binary64 (* (exp x) (- (/ (exp x) (- (exp (* 3 x)) 1)) (* -1 (/ (+ 1 (exp (* 2 x))) (- (exp (* 3 x)) 1)))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1))) #s(hole binary64 (- (/ (exp x) (- (exp (* 3 x)) 1)) (* -1 (/ (+ 1 (exp (* 2 x))) (- (exp (* 3 x)) 1))))))
#s(approx (/ (exp x) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (* 3 x)) 1))))
#s(approx (- (exp (* 3 x)) 1) #s(hole binary64 (- (exp (* 3 x)) 1)))
#s(approx (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)) #s(hole binary64 (* -1 (/ (+ 1 (exp (* 2 x))) (- (exp (* 3 x)) 1)))))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 (* -1 (+ 1 (exp (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (* -1 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))))
#s(approx (* (exp x) (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)))) #s(hole binary64 (* (exp x) (- (/ (exp x) (- (exp (* 3 x)) 1)) (* -1 (/ (+ 1 (exp (neg (* -2 x)))) (- (exp (* 3 x)) 1)))))))
#s(approx (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1))) #s(hole binary64 (- (/ (exp x) (- (exp (* 3 x)) 1)) (* -1 (/ (+ 1 (exp (neg (* -2 x)))) (- (exp (* 3 x)) 1))))))
#s(approx (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)) #s(hole binary64 (* -1 (/ (+ 1 (exp (neg (* -2 x)))) (- (exp (* 3 x)) 1)))))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 (* -1 (+ 1 (exp (neg (* -2 x)))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x)) (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/ -1 (* x x)) -1 (* x x) x (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (+ (/ (+ (/ 1 x) 1/2) x) 1/12) x) (+ (/ (+ (/ 1 x) 1/2) x) 1/12) (/ (+ (/ 1 x) 1/2) x) (+ (/ 1 x) 1/2) (/ 1 x) 1 1/12 (* (exp x) (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)))) (exp x) (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1))) (/ (exp x) (- (exp (* 3 x)) 1)) (- (exp (* 3 x)) 1) (* 3 x) 3 (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)) (- -1 (exp (+ x x))) (exp (+ x x)) (+ x x))
4.0ms	x	@	-inf	((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x)) (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/ -1 (* x x)) -1 (* x x) x (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (+ (/ (+ (/ 1 x) 1/2) x) 1/12) x) (+ (/ (+ (/ 1 x) 1/2) x) 1/12) (/ (+ (/ 1 x) 1/2) x) (+ (/ 1 x) 1/2) (/ 1 x) 1 1/12 (* (exp x) (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)))) (exp x) (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1))) (/ (exp x) (- (exp (* 3 x)) 1)) (- (exp (* 3 x)) 1) (* 3 x) 3 (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)) (- -1 (exp (+ x x))) (exp (+ x x)) (+ x x))
3.0ms	x	@	inf	((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) 1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x)) (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/ -1 (* x x)) -1 (* x x) x (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (* (+ (/ (+ (/ 1 x) 1/2) x) 1/12) x) (+ (/ (+ (/ 1 x) 1/2) x) 1/12) (/ (+ (/ 1 x) 1/2) x) (+ (/ 1 x) 1/2) (/ 1 x) 1 1/12 (* (exp x) (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)))) (exp x) (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1))) (/ (exp x) (- (exp (* 3 x)) 1)) (- (exp (* 3 x)) 1) (* 3 x) 3 (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)) (- -1 (exp (+ x x))) (exp (+ x x)) (+ x x))

Time

Variable

Point

Expression

5.0ms

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

4.0ms

-inf

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

3.0ms

inf

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

rewrite152.0ms (7.3%)

Memory

-0.7MiB live, 182.6MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	293	1698
0	325	1611
1	1520	1591
0	8120	1518

Stop Event

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

Counts

106 → 250

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg.f64 (.f64 #s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x))) x))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg.f64 (.f64 #s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)))
(neg.f64 (.f64 #s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x))) x))
(.f64 #s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(*.f64 x x)
x
#s(approx (/ (exp x) (- (exp x) 1)) #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) x) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64)) x))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64)) x)
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/12 binary64)
(.f64 (exp.f64 x) (-.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))))
(exp.f64 x)
(-.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) (expm1.f64 (.f64 #s(literal 3 binary64) x))))
(/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))
(expm1.f64 (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))
(-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))
(exp.f64 (+.f64 x x))
(+.f64 x x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (/ -1 x)))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (/ (- (* -1/2 x) 1) x)))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (/ (- (* x (- (* -1/12 x) 1/2)) 1) x)))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 (/ (- (* -1/2 x) 1) (pow x 2))))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 (/ (- (* x (- (* -1/12 x) 1/2)) 1) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (/ (+ (/ 1 x) 1/2) x) 1/12) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (+ (/ (+ (/ 1 x) 1/2) x) 1/12) #s(hole binary64 (/ (+ 1 (* 1/2 x)) (pow x 2))))
#s(approx (+ (/ (+ (/ 1 x) 1/2) x) 1/12) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) (pow x 2))))
#s(approx (exp x) #s(hole binary64 1))
#s(approx (exp x) #s(hole binary64 (+ 1 x)))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))))
#s(approx (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1))) #s(hole binary64 (/ (+ 1 (* -1/2 x)) x)))
#s(approx (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1))) #s(hole binary64 (/ (+ 1 (* x (- (* 1/12 x) 1/2))) x)))
#s(approx (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1))) #s(hole binary64 (/ (+ 1 (* x (- (* x (+ 1/12 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (/ (exp x) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ 1/3 x)))
#s(approx (/ (exp x) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (+ 1/3 (* -1/6 x)) x)))
#s(approx (/ (exp x) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (+ 1/3 (* x (- (* -1/12 x) 1/6))) x)))
#s(approx (/ (exp x) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (+ 1/3 (* x (- (* x (- (* 1/18 x) 1/12)) 1/6))) x)))
#s(approx (- (exp (* 3 x)) 1) #s(hole binary64 (* 3 x)))
#s(approx (- (exp (* 3 x)) 1) #s(hole binary64 (* x (+ 3 (* 9/2 x)))))
#s(approx (- (exp (* 3 x)) 1) #s(hole binary64 (* x (+ 3 (* x (+ 9/2 (* 9/2 x)))))))
#s(approx (- (exp (* 3 x)) 1) #s(hole binary64 (* x (+ 3 (* x (+ 9/2 (* x (+ 9/2 (* 27/8 x)))))))))
#s(approx (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ -2/3 x)))
#s(approx (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (- (* 1/3 x) 2/3) x)))
#s(approx (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (- (* x (+ 1/3 (* -1/6 x))) 2/3) x)))
#s(approx (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (- (* x (+ 1/3 (* x (- (* 1/18 x) 1/6)))) 2/3) x)))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 -2))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 (- (* -2 x) 2)))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 (- (* x (- (* -2 x) 2)) 2)))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 (- (* x (- (* x (- (* -4/3 x) 2)) 2)) 2)))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1))))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 1 x))))
#s(approx (/ (+ (* (+ (* 1/12 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 (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (* -1/12 x)))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (* -1 (* x (+ 1/12 (* 1/2 (/ 1 x)))))))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 -1/12))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 (* -1 (+ 1/12 (* 1/2 (/ 1 x))))))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(hole binary64 (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
#s(approx (+ (/ (+ (/ 1 x) 1/2) x) 1/12) #s(hole binary64 1/12))
#s(approx (+ (/ (+ (/ 1 x) 1/2) x) 1/12) #s(hole binary64 (+ 1/12 (* 1/2 (/ 1 x)))))
#s(approx (+ (/ (+ (/ 1 x) 1/2) x) 1/12) #s(hole binary64 (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
#s(approx (/ (+ (/ 1 x) 1/2) x) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (+ (/ 1 x) 1/2) x) #s(hole binary64 (/ (+ 1/2 (/ 1 x)) x)))
#s(approx (* (exp x) (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)))) #s(hole binary64 (* (exp x) (- (/ (exp x) (- (exp (* 3 x)) 1)) (* -1 (/ (+ 1 (exp (* 2 x))) (- (exp (* 3 x)) 1)))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1))) #s(hole binary64 (- (/ (exp x) (- (exp (* 3 x)) 1)) (* -1 (/ (+ 1 (exp (* 2 x))) (- (exp (* 3 x)) 1))))))
#s(approx (/ (exp x) (- (exp (* 3 x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (* 3 x)) 1))))
#s(approx (- (exp (* 3 x)) 1) #s(hole binary64 (- (exp (* 3 x)) 1)))
#s(approx (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)) #s(hole binary64 (* -1 (/ (+ 1 (exp (* 2 x))) (- (exp (* 3 x)) 1)))))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 (* -1 (+ 1 (exp (* 2 x))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (* 2 x))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) #s(hole binary64 (* -1 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))))
#s(approx (* (exp x) (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)))) #s(hole binary64 (* (exp x) (- (/ (exp x) (- (exp (* 3 x)) 1)) (* -1 (/ (+ 1 (exp (neg (* -2 x)))) (- (exp (* 3 x)) 1)))))))
#s(approx (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1))) #s(hole binary64 (- (/ (exp x) (- (exp (* 3 x)) 1)) (* -1 (/ (+ 1 (exp (neg (* -2 x)))) (- (exp (* 3 x)) 1))))))
#s(approx (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)) #s(hole binary64 (* -1 (/ (+ 1 (exp (neg (* -2 x)))) (- (exp (* 3 x)) 1)))))
#s(approx (- -1 (exp (+ x x))) #s(hole binary64 (* -1 (+ 1 (exp (neg (* -2 x)))))))
#s(approx (exp (+ x x)) #s(hole binary64 (exp (neg (* -2 x)))))

Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 #s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x))) (neg.f64 x))))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 #s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x))) (neg.f64 x)))
(.f64 (neg.f64 #s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x)))) x)
(.f64 #s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x))) (neg.f64 x))
(neg.f64 (.f64 #s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x))) x))
(.f64 #s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)
(.f64 x #s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x))))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)))
#s(literal -1 binary64)
(*.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)))
(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))))
x
#s(approx (/ (exp x) (- (exp x) 1)) #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) x) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64)) x))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64)) x)
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64)))
(/.f64 (-.f64 #s(literal 1/144 binary64) (/.f64 (.f64 (+.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 x x))) (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))
(/.f64 (+.f64 #s(literal 1/1728 binary64) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/144 binary64) (-.f64 (/.f64 (.f64 (+.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 x x)) (*.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (+.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 x x)) #s(literal 1/144 binary64))) (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (-.f64 #s(literal 1/144 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (/.f64 (.f64 (+.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 x x)) #s(literal 1/144 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/1728 binary64)) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (-.f64 #s(literal 1/144 binary64) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (+.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 x x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (-.f64 #s(literal 1/144 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/1728 binary64) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (-.f64 #s(literal 1/144 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x) (.f64 #s(literal -1/2 binary64) x)) (.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (.f64 #s(literal 1/2 binary64) x)) (.f64 x x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) (.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 x (/.f64 #s(literal 1 binary64) x))) (.f64 x x))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (neg.f64 x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) 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 x x)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) 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 (-.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)))
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(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 x x (-.f64 (.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 (.f64 x x) (*.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 (.f64 x x) (-.f64 x x)) (/.f64 (.f64 x x) (-.f64 x x)))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x)))))
(+.f64 x x)
#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 (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) (/.f64 #s(literal -1 binary64) x))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ (/ (+ (/ 1 x) 1/2) x) 1/12) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (+ (/ (+ (/ 1 x) 1/2) x) 1/12) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (/ (+ (/ 1 x) 1/2) x) 1/12) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1))) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1))) (/.f64 (fma.f64 (-.f64 (.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 (* 3 x)) 1)) (/.f64 #s(literal 1/3 binary64) x))
#s(approx (/ (exp x) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/3 binary64)) x))
#s(approx (/ (exp x) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 1/6 binary64)) x #s(literal 1/3 binary64)) x))
#s(approx (/ (exp x) (- (exp (* 3 x)) 1)) (/.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/18 binary64) x) #s(literal 1/12 binary64)) x) #s(literal 1/6 binary64)) x #s(literal 1/3 binary64)) x))
#s(approx (- (exp (* 3 x)) 1) (*.f64 #s(literal 3 binary64) x))
#s(approx (- (exp (* 3 x)) 1) (*.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 3 binary64)) x))
#s(approx (- (exp (* 3 x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 9/2 binary64) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) x))
#s(approx (- (exp (* 3 x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 27/8 binary64) x #s(literal 9/2 binary64)) x #s(literal 9/2 binary64)) x #s(literal 3 binary64)) x))
#s(approx (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)) (/.f64 #s(literal -2/3 binary64) x))
#s(approx (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 2/3 binary64)) x))
#s(approx (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/3 binary64)) x) #s(literal 2/3 binary64)) x))
#s(approx (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)) (/.f64 (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/18 binary64) x) #s(literal 1/6 binary64)) x #s(literal 1/3 binary64)) x) #s(literal 2/3 binary64)) x))
#s(approx (- -1 (exp (+ x x))) #s(literal -2 binary64))
#s(approx (- -1 (exp (+ x x))) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))
#s(approx (- -1 (exp (+ x x))) (-.f64 (.f64 (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)))
#s(approx (- -1 (exp (+ x x))) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (*.f64 #s(literal -4/3 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)))
#s(approx (exp (+ x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (+ x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x)))
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))
#s(approx (/ (+ (* 1/2 x) 1) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/12 binary64)) x))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) (*.f64 #s(literal -1/12 binary64) x))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x)))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64)) x))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) #s(literal -1/12 binary64))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64))))
#s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64)))
#s(approx (+ (/ (+ (/ 1 x) 1/2) x) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (/ (+ (/ 1 x) 1/2) x) 1/12) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)))
#s(approx (+ (/ (+ (/ 1 x) 1/2) x) 1/12) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/12 binary64)))
#s(approx (/ (+ (/ 1 x) 1/2) x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (+ (/ 1 x) 1/2) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (* (exp x) (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)))) (.f64 (/.f64 (-.f64 (exp.f64 x) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (exp.f64 x)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1))) (/.f64 (-.f64 (exp.f64 x) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))
#s(approx (/ (exp x) (- (exp (* 3 x)) 1)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))
#s(approx (- (exp (* 3 x)) 1) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))
#s(approx (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)) (/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))
#s(approx (- -1 (exp (+ x x))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/12 binary64)) x)))
#s(approx (* (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) x) (neg.f64 (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/12 binary64)) x)))
#s(approx (* (exp x) (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)))) (.f64 (/.f64 (-.f64 (exp.f64 x) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (exp.f64 x)))
#s(approx (- (/ (exp x) (- (exp (* 3 x)) 1)) (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1))) (/.f64 (-.f64 (exp.f64 x) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))
#s(approx (/ (- -1 (exp (+ x x))) (- (exp (* 3 x)) 1)) (/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))
#s(approx (- -1 (exp (+ x x))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
#s(approx (exp (+ x x)) (exp.f64 (+.f64 x x)))

eval28.0ms (1.4%)

Memory: -11.4MiB live, 45.9MiB allocated; 7ms collecting garbage
Compiler: Compiled 3 058 to 1 405 computations (54.1% saved)

prune10.0ms (0.5%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	208	2	210
Fresh	0	0	0
Picked	1	3	4
Done	0	8	8
Total	209	13	222

Accuracy

100.0%

Counts

222 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	99.7%	(.f64 (exp.f64 x) (/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) (expm1.f64 (.f64 #s(literal 3 binary64) x))))
✓	99.6%	(.f64 (exp.f64 x) (-.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))))
✓	65.8%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
✓	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
✓	65.9%	#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	34.6%	#s(approx (/ (exp x) (- (exp x) 1)) #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)))
✓	34.5%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64)) x)))
	50.9%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 #s(approx (+ (/ (+ (/ 1 x) 1/2) x) 1/12) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)))
✓	3.3%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
	49.8%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg.f64 (.f64 #s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))) x))))
✓	65.7%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
✓	3.1%	#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))

Compiler

Compiled 380 to 318 computations (16.3% saved)

regimes15.0ms (0.7%)

Memory

-27.5MiB live, 18.6MiB allocated; 3ms collecting garbage

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
#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)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 #s(approx (+ (/ (+ (/ 1 x) 1/2) x) 1/12) (/.f64 #s(literal 1 binary64) (.f64 x x))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg.f64 (.f64 #s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (/.f64 #s(literal -1 binary64) (.f64 x x))) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg.f64 (.f64 #s(approx (- (neg (/ (- (/ 1 x) -1/2) x)) 1/12) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))) x))))
#s(approx (/ (exp x) (- (exp x) 1)) #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 (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal 1/12 binary64)) x))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/12 binary64)) x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(.f64 (exp.f64 x) (/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) (expm1.f64 (.f64 #s(literal 3 binary64) x))))
(.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 (exp.f64 x) (-.f64 (/.f64 (exp.f64 x) (expm1.f64 (.f64 #s(literal 3 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))))
(.f64 (/.f64 (exp.f64 x) (/.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))))))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes10.0ms (0.5%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
83.3%	2	`(exp.f64 x)`
82.9%	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
83.3%	2	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes5.0ms (0.2%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

2.0ms	x
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
82.9%	2	`(exp.f64 x)`
82.9%	2	`x`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes5.0ms (0.3%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
65.9%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
65.9%	1	`(exp.f64 x)`
65.9%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0.2%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
3.3%	1	`(exp.f64 x)`
3.3%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`
3.3%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes5.0ms (0.2%)

Memory

-40.1MiB live, 6.5MiB allocated; 3ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
3.1%	1	`(exp.f64 x)`
3.1%	1	`x`
3.1%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch10.0ms (0.5%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-137.5595851093888	-2.539904583010462

Samples

5.0ms

112×

valid

Compiler

Compiled 269 to 267 computations (0.7% saved)

Precisions

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

ival-exp: 1.0ms (35.5% of total)

ival-expm1: 1.0ms (35.5% of total)

ival-div!: 1.0ms (35.5% of total)

adjust: 0.0ms (0% of total)

bsearch12.0ms (0.6%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-2.539904583010462	-5.286811151419849e-8

Samples

6.0ms

144×

valid

Compiler

Compiled 370 to 368 computations (0.5% saved)

Precisions

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

ival-exp: 2.0ms (55.9% of total)

ival-expm1: 1.0ms (28% of total)

ival-div!: 1.0ms (28% of total)

adjust: 0.0ms (0% of total)

derivations172.0ms (8.3%)

Memory

-1.2MiB live, 94.6MiB allocated; 29ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 70 to 52 computations (25.7% saved)

preprocess46.0ms (2.2%)

Memory: -4.3MiB live, 86.7MiB allocated; 12ms collecting garbage
Compiler: Compiled 82 to 63 computations (23.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample985.0ms (47.3%)

preprocess54.0ms (2.6%)

series3.0ms (0.1%)

rewrite99.0ms (4.7%)

eval4.0ms (0.2%)

prune3.0ms (0.2%)

series12.0ms (0.6%)

rewrite167.0ms (8%)

eval36.0ms (1.7%)

prune9.0ms (0.4%)

series15.0ms (0.7%)

rewrite138.0ms (6.6%)

eval56.0ms (2.7%)

prune14.0ms (0.7%)

series14.0ms (0.7%)

rewrite152.0ms (7.3%)

eval28.0ms (1.4%)

prune10.0ms (0.5%)

regimes15.0ms (0.7%)

regimes10.0ms (0.5%)

regimes5.0ms (0.2%)

regimes5.0ms (0.3%)

regimes3.0ms (0.2%)

regimes5.0ms (0.2%)

bsearch10.0ms (0.5%)

bsearch12.0ms (0.6%)

derivations172.0ms (8.3%)

preprocess46.0ms (2.2%)

end0.0ms (0%)

Profiling