Metrics for exp2 (problem 3.3.7)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.4%	49.6%	0%	0%	0%	0
100%	50.4%	0%	49.6%	0%	0%	0%	1

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample3.7s (72.7%)

Memory

78.3MiB live, 3 222.0MiB allocated; 1.3s collecting garbage

Samples

2.9s	5 835×	2	valid
399.0ms	2 300×	1	valid
6.0ms	121×	0	valid

Precisions

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

ival-exp: 2.5s (81.6% of total)

adjust: 389.0ms (12.8% of total)

ival-sub!: 70.0ms (2.3% of total)

ival-add!: 65.0ms (2.1% of total)

ival-neg: 37.0ms (1.2% of total)

Bogosity

explain238.0ms (4.7%)

Memory

-48.7MiB live, 375.9MiB allocated; 73ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
141	1	(-2.957529839643185e-162)	-	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
0	0	-	-	`(-.f64 (exp.f64 x) #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(exp.f64 x)`
0	1	(-175.46658801597513)	-	`(exp.f64 (neg.f64 x))`
0	0	-	-	`(neg.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`	cancellation	142	0
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	141	0
-	2	113

Precision

0.986013986013986

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	141	0	0
-	2	0	113

Precision?

0.986013986013986

Recall?

1.0

Freqs

test

number	freq
0	113
1	143

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

128.0ms	364×	2	valid
17.0ms	136×	1	valid
1.0ms	12×	0	valid

Compiler

Compiled 54 to 25 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-exp: 95.0ms (78.2% of total)

adjust: 17.0ms (14% of total)

ival-sub!: 4.0ms (3.3% of total)

ival-add!: 3.0ms (2.5% of total)

ival-neg: 2.0ms (1.6% of total)

preprocess44.0ms (0.9%)

Memory

-10.0MiB live, 35.0MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	40	25
2	113	25
3	482	24
4	2358	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Symmetry

(abs x)

Compiler

Compiled 16 to 14 computations (12.5% saved)

series3.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Counts

7 → 24

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (exp x) 2) #s(hole binary64 -1))
#s(approx (- (exp x) 2) #s(hole binary64 (- x 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#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 (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (exp x) 2)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x))
1.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x))
1.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x))

Time

Variable

Point

Expression

1.0ms

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x))

1.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x))

1.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x))

rewrite202.0ms (4%)

Memory

27.1MiB live, 157.2MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	312
0	97	304
1	545	289
0	4664	268

Stop Event

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

Counts

31 → 101

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (exp x) 2) #s(hole binary64 -1))
#s(approx (- (exp x) 2) #s(hole binary64 (- x 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#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 (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (exp x) 2)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Outputs
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) (+.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (-.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)))) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)))) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (exp.f64 x) (.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1 binary64))) (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 8 binary64)) (fma.f64 #s(literal 2 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(-.f64 (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (sinh.f64 x))
(-.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64))))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(+.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (sinh.f64 (neg.f64 x)))
(+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))))
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))))
(-.f64 (expm1.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)))))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 x)
x
#s(literal 2 binary64)
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 x) (cosh.f64 x)) (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (cosh.f64 x) (sinh.f64 (neg.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) (fma.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 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(approx (- (exp x) 2) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (exp x) 2) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)))
#s(approx (- (exp x) 2) (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) #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 (neg x)) #s(literal 1 binary64))
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg 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 (neg x) (neg.f64 x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (- (exp x) 2) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval9.0ms (0.2%)

Memory: 14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 590 to 339 computations (78.7% saved)

prune5.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	6	94

Accuracy

100.0%

Counts

94 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
	50.8%	(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
▶	50.8%	(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
▶	48.4%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
▶	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
▶	98.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 146 to 110 computations (24.7% saved)

series12.0ms (0.2%)

Memory

-35.2MiB live, 13.8MiB allocated; 7ms collecting garbage

Counts

25 → 87

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(literal 1 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(cosh.f64 x)
#s(literal 2 binary64)
(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (expm1.f64 x) #s(literal 1 binary64))
(expm1.f64 x)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 1/360))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (+ 1/360 (* 1/20160 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp x) 2) #s(hole binary64 -1))
#s(approx (- (exp x) 2) #s(hole binary64 (- x 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (pow x 2)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 -1))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- x 1)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* 1/20160 (pow x 8))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* 1/20160 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* 1/20160 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* 1/20160 (pow x 4))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (* 1/20160 (pow x 2))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (- (exp x) 2) #s(hole binary64 (- (exp x) 2)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (exp x) 2)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) x 1/360 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (- (* (cosh x) 2) 2) (* (cosh x) 2) (cosh x) 2 (+ (- (- (exp x) 1) 1) (exp (neg x))) (- (- (exp x) 1) 1) (- (exp x) 1))
3.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) x 1/360 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (- (* (cosh x) 2) 2) (* (cosh x) 2) (cosh x) 2 (+ (- (- (exp x) 1) 1) (exp (neg x))) (- (- (exp x) 1) 1) (- (exp x) 1))
3.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) x 1/360 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (- (* (cosh x) 2) 2) (* (cosh x) 2) (cosh x) 2 (+ (- (- (exp x) 1) 1) (exp (neg x))) (- (- (exp x) 1) 1) (- (exp x) 1))

Time

Variable

Point

Expression

5.0ms

((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) x 1/360 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (- (* (cosh x) 2) 2) (* (cosh x) 2) (cosh x) 2 (+ (- (- (exp x) 1) 1) (exp (neg x))) (- (- (exp x) 1) 1) (- (exp x) 1))

3.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) x 1/360 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (- (* (cosh x) 2) 2) (* (cosh x) 2) (cosh x) 2 (+ (- (- (exp x) 1) 1) (exp (neg x))) (- (- (exp x) 1) 1) (- (exp x) 1))

3.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) 1/20160 (* x x) x 1/360 1/12 1 (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) -1 (exp (neg x)) (neg x) (- (* (cosh x) 2) 2) (* (cosh x) 2) (cosh x) 2 (+ (- (- (exp x) 1) 1) (exp (neg x))) (- (- (exp x) 1) 1) (- (exp x) 1))

rewrite166.0ms (3.3%)

Memory

3.4MiB live, 144.3MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	1943
0	285	1860
1	1351	1859
0	8458	1793

Stop Event

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

Counts

112 → 384

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(literal 1 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
#s(approx (- (exp x) 2) #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(cosh.f64 x)
#s(literal 2 binary64)
(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (expm1.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 1/360))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (+ 1/360 (* 1/20160 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (exp x) 2) #s(hole binary64 -1))
#s(approx (- (exp x) 2) #s(hole binary64 (- x 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (pow x 2)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (cosh x) 2) #s(hole binary64 2))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (pow x 2))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))))
#s(approx (cosh x) #s(hole binary64 1))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))))
#s(approx (cosh x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 -1))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- x 1)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#s(approx (- (exp x) 1) #s(hole binary64 x))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x)))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* 1/20160 (pow x 8))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* 1/20160 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* 1/20160 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* 1/20160 (pow x 4))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (* 1/20160 (pow x 2))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(hole binary64 (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (- (exp x) 2) #s(hole binary64 (- (exp x) 2)))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (* (cosh x) 2) #s(hole binary64 (+ (exp x) (/ 1 (exp x)))))
#s(approx (cosh x) #s(hole binary64 (* 1/2 (+ (exp x) (/ 1 (exp x))))))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (- (- (exp x) 1) 1) #s(hole binary64 (- (exp x) 2)))
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))

Outputs
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(.f64 x (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x))))
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(-.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
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(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (expm1.f64 x) (expm1.f64 x) #s(literal -1 binary64))) (neg.f64 (-.f64 (expm1.f64 x) #s(literal -1 binary64))))
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(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (expm1.f64 x) (expm1.f64 x) #s(literal -1 binary64)) (-.f64 (expm1.f64 x) #s(literal -1 binary64)))
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(-.f64 (/.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (fma.f64 (expm1.f64 x) (expm1.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (expm1.f64 x) (expm1.f64 x) (+.f64 #s(literal 1 binary64) (.f64 (expm1.f64 x) #s(literal 1 binary64))))))
(-.f64 (expm1.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(+.f64 (expm1.f64 x) #s(literal -1 binary64))
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(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
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(expm1.f64 x)
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(-.f64 (exp.f64 x) #s(literal 1 binary64))
(+.f64 (exp.f64 x) #s(literal -1 binary64))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 x x))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x)
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* 1/20160 (* x x)) 1/360) #s(literal 1/360 binary64))
#s(approx (+ (* 1/20160 (* x x)) 1/360) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (- (- (exp x) 1) 1) #s(literal -1 binary64))
#s(approx (- (- (exp x) 1) 1) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (- (exp x) 1) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)))
#s(approx (- (- (exp x) 1) 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 -1 binary64)))
#s(approx (exp (neg x)) #s(literal 1 binary64))
#s(approx (exp (neg x)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg 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 (neg x) (neg.f64 x))
#s(approx (- (* (cosh x) 2) 2) (*.f64 x x))
#s(approx (- (* (cosh x) 2) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (* (cosh x) 2) 2) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (- (* (cosh x) 2) 2) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (* (cosh x) 2) #s(literal 2 binary64))
#s(approx (* (cosh x) 2) (fma.f64 x x #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (cosh x) #s(literal 1 binary64))
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (- (- (exp x) 1) 1) #s(literal -1 binary64))
#s(approx (- (- (exp x) 1) 1) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (- (exp x) 1) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)))
#s(approx (- (- (exp x) 1) 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 -1 binary64)))
#s(approx (- (exp x) 1) x)
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64)))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) #s(literal 1/20160 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/20160 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/20160 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) #s(literal 1/20160 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/20160 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) (*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/20160 binary64)))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) #s(literal 1/20160 binary64))))
#s(approx (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 1/20160 (* x x)) 1/360) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))
#s(approx (+ (* 1/20160 (* x x)) 1/360) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) #s(literal 1/20160 binary64)) (.f64 x x)))
#s(approx (- (- (exp x) 1) 1) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (- (* (cosh x) 2) 2) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (cosh x) 2) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
#s(approx (cosh x) (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (- (- (exp x) 1) 1) (-.f64 (expm1.f64 x) #s(literal 1 binary64)))
#s(approx (- (exp x) 1) (expm1.f64 x))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/360 binary64)) (.f64 x x)) #s(literal 1/20160 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) #s(literal 1/20160 binary64)))))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (+ (- (- (exp x) 1) 1) (exp (neg x))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))

eval51.0ms (1%)

Memory: 25.1MiB live, 70.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 13 928 to 1 965 computations (85.9% saved)

prune15.0ms (0.3%)

Memory

-24.2MiB live, 22.4MiB allocated; 2ms collecting garbage

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	463	5	468
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	464	10	474

Accuracy

100.0%

Counts

474 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.8%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 4 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
✓	50.8%	(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
▶	50.8%	(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
✓	50.8%	(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
✓	48.4%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
▶	98.4%	#s(approx (- (* (cosh x) 2) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
▶	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x)))
✓	98.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
▶	48.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))))
▶	13.4%	#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 8 binary64)))))

Compiler

Compiled 380 to 254 computations (33.2% saved)

series16.0ms (0.3%)

Memory

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

Counts

39 → 114

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x))
(*.f64 x x)
x
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))
(pow.f64 x #s(literal 8 binary64))
#s(literal 8 binary64)
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(exp.f64 x)
(-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (- (* (cosh x) 2) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 8 binary64)))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 8 binary64)))
(+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))))
(+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(pow.f64 x #s(literal -6 binary64))
#s(literal -6 binary64)

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (* (* x x) (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x)) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* x x) (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (* x x) (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (* x x) (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) #s(hole binary64 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* 1/360 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/20160) 1/360) #s(hole binary64 1/360))
#s(approx (+ (* (* x x) 1/20160) 1/360) #s(hole binary64 (+ 1/360 (* 1/20160 (pow x 2)))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (pow x 8) 1/20160) #s(hole binary64 (* 1/20160 (pow x 8))))
#s(approx (pow x 8) #s(hole binary64 (pow x 8)))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (pow x 2)))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (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 (- 2 (exp (neg x))) #s(hole binary64 1))
#s(approx (- 2 (exp (neg x))) #s(hole binary64 (+ 1 x)))
#s(approx (- 2 (exp (neg x))) #s(hole binary64 (+ 1 (* x (+ 1 (* -1/2 x))))))
#s(approx (- 2 (exp (neg x))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (- (* 1/6 x) 1/2)))))))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (pow x 2)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) #s(hole binary64 (/ 1 (pow x 6))))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) #s(hole binary64 (/ (+ 1 (* 1/12 (pow x 2))) (pow x 6))))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) (pow x 6))))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))) (pow x 6))))
#s(approx (+ 1/20160 (/ 1/12 (pow x 4))) #s(hole binary64 (/ 1/12 (pow x 4))))
#s(approx (+ 1/20160 (/ 1/12 (pow x 4))) #s(hole binary64 (/ (+ 1/12 (* 1/20160 (pow x 4))) (pow x 4))))
#s(approx (/ 1/12 (pow x 4)) #s(hole binary64 (/ 1/12 (pow x 4))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (pow x -2) 1/360) (pow x -6)) #s(hole binary64 (/ 1 (pow x 6))))
#s(approx (+ (* (pow x -2) 1/360) (pow x -6)) #s(hole binary64 (/ (+ 1 (* 1/360 (pow x 4))) (pow x 6))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (pow x -6) #s(hole binary64 (/ 1 (pow x 6))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (+ (* (* x x) (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x)) (* x x)) #s(hole binary64 (* 1/20160 (pow x 8))))
#s(approx (+ (* (* x x) (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x)) (* x x)) #s(hole binary64 (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x)) (* x x)) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x)) (* x x)) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) #s(hole binary64 (* 1/20160 (pow x 6))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) #s(hole binary64 (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) #s(hole binary64 (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* 1/20160 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(hole binary64 (* 1/20160 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/20160) 1/360) #s(hole binary64 (* 1/20160 (pow x 2))))
#s(approx (+ (* (* x x) 1/20160) 1/360) #s(hole binary64 (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* 1/20160 (pow x 8))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- 2 (exp (neg x))) #s(hole binary64 (- 2 (exp (neg x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) #s(hole binary64 (* 1/20160 (pow x 8))))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) #s(hole binary64 (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) #s(hole binary64 1/20160))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) #s(hole binary64 (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) #s(hole binary64 (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) #s(hole binary64 (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))
#s(approx (+ 1/20160 (/ 1/12 (pow x 4))) #s(hole binary64 1/20160))
#s(approx (+ 1/20160 (/ 1/12 (pow x 4))) #s(hole binary64 (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))))
#s(approx (+ (* (pow x -2) 1/360) (pow x -6)) #s(hole binary64 (/ 1/360 (pow x 2))))
#s(approx (+ (* (pow x -2) 1/360) (pow x -6)) #s(hole binary64 (/ (+ 1/360 (/ 1 (pow x 4))) (pow x 2))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (- 2 (exp (neg x))) #s(hole binary64 (- 2 (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (+ (* (* x x) (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x)) (* x x)) (* x x) x (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (+ (* (* x x) 1/20160) 1/360) 1/20160 1/360 1/12 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (pow x 8) 1/20160) (pow x 8) 8 (- (exp x) (- 2 (exp (neg x)))) (exp x) (- 2 (exp (neg x))) 2 (exp (neg x)) (neg x) (- (* (cosh x) 2) 2) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (* x x) 1/12) 1) 1 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (+ 1/20160 (/ 1/12 (pow x 4))) (/ 1/12 (pow x 4)) (pow x 4) 4 (+ (* (pow x -2) 1/360) (pow x -6)) (pow x -2) -2 (pow x -6) -6)
4.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (+ (* (* x x) (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x)) (* x x)) (* x x) x (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (+ (* (* x x) 1/20160) 1/360) 1/20160 1/360 1/12 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (pow x 8) 1/20160) (pow x 8) 8 (- (exp x) (- 2 (exp (neg x)))) (exp x) (- 2 (exp (neg x))) 2 (exp (neg x)) (neg x) (- (* (cosh x) 2) 2) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (* x x) 1/12) 1) 1 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (+ 1/20160 (/ 1/12 (pow x 4))) (/ 1/12 (pow x 4)) (pow x 4) 4 (+ (* (pow x -2) 1/360) (pow x -6)) (pow x -2) -2 (pow x -6) -6)
4.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (+ (* (* x x) (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x)) (* x x)) (* x x) x (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (+ (* (* x x) 1/20160) 1/360) 1/20160 1/360 1/12 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (pow x 8) 1/20160) (pow x 8) 8 (- (exp x) (- 2 (exp (neg x)))) (exp x) (- 2 (exp (neg x))) 2 (exp (neg x)) (neg x) (- (* (cosh x) 2) 2) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (* x x) 1/12) 1) 1 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (+ 1/20160 (/ 1/12 (pow x 4))) (/ 1/12 (pow x 4)) (pow x 4) 4 (+ (* (pow x -2) 1/360) (pow x -6)) (pow x -2) -2 (pow x -6) -6)

Time

Variable

Point

Expression

5.0ms

((+ (- (exp x) 2) (exp (neg x))) (+ (* (* x x) (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x)) (* x x)) (* x x) x (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (+ (* (* x x) 1/20160) 1/360) 1/20160 1/360 1/12 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (pow x 8) 1/20160) (pow x 8) 8 (- (exp x) (- 2 (exp (neg x)))) (exp x) (- 2 (exp (neg x))) 2 (exp (neg x)) (neg x) (- (* (cosh x) 2) 2) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (* x x) 1/12) 1) 1 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (+ 1/20160 (/ 1/12 (pow x 4))) (/ 1/12 (pow x 4)) (pow x 4) 4 (+ (* (pow x -2) 1/360) (pow x -6)) (pow x -2) -2 (pow x -6) -6)

4.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (+ (* (* x x) (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x)) (* x x)) (* x x) x (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (+ (* (* x x) 1/20160) 1/360) 1/20160 1/360 1/12 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (pow x 8) 1/20160) (pow x 8) 8 (- (exp x) (- 2 (exp (neg x)))) (exp x) (- 2 (exp (neg x))) 2 (exp (neg x)) (neg x) (- (* (cosh x) 2) 2) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (* x x) 1/12) 1) 1 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (+ 1/20160 (/ 1/12 (pow x 4))) (/ 1/12 (pow x 4)) (pow x 4) 4 (+ (* (pow x -2) 1/360) (pow x -6)) (pow x -2) -2 (pow x -6) -6)

4.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (+ (* (* x x) (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x)) (* x x)) (* x x) x (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (+ (* (* x x) 1/20160) 1/360) 1/20160 1/360 1/12 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (pow x 8) 1/20160) (pow x 8) 8 (- (exp x) (- 2 (exp (neg x)))) (exp x) (- 2 (exp (neg x))) 2 (exp (neg x)) (neg x) (- (* (cosh x) 2) 2) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (* x x) 1/12) 1) 1 (+ (- (exp x) 2) (exp (neg x))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (+ 1/20160 (/ 1/12 (pow x 4))) (/ 1/12 (pow x 4)) (pow x 4) 4 (+ (* (pow x -2) 1/360) (pow x -6)) (pow x -2) -2 (pow x -6) -6)

rewrite171.0ms (3.4%)

Memory

-10.1MiB live, 170.6MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	310	2911
0	351	2773
1	1517	2755
0	8309	2646

Stop Event

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

Counts

153 → 638

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x))
(*.f64 x x)
x
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))
(pow.f64 x #s(literal 8 binary64))
#s(literal 8 binary64)
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(exp.f64 x)
(-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (- (* (cosh x) 2) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 8 binary64)))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 8 binary64)))
(+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))))
(+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(pow.f64 x #s(literal -6 binary64))
#s(literal -6 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (pow x 2)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (* (* x x) (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x)) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* x x) (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (* x x) (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (* x x) (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) #s(hole binary64 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* 1/12 x)))
#s(approx (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* 1/360 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(hole binary64 1/12))
#s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* 1/360 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(hole binary64 (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/20160) 1/360) #s(hole binary64 1/360))
#s(approx (+ (* (* x x) 1/20160) 1/360) #s(hole binary64 (+ 1/360 (* 1/20160 (pow x 2)))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (pow x 8) 1/20160) #s(hole binary64 (* 1/20160 (pow x 8))))
#s(approx (pow x 8) #s(hole binary64 (pow x 8)))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (pow x 2)))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (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 (- 2 (exp (neg x))) #s(hole binary64 1))
#s(approx (- 2 (exp (neg x))) #s(hole binary64 (+ 1 x)))
#s(approx (- 2 (exp (neg x))) #s(hole binary64 (+ 1 (* x (+ 1 (* -1/2 x))))))
#s(approx (- 2 (exp (neg x))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (- (* 1/6 x) 1/2)))))))
#s(approx (exp (neg x)) #s(hole binary64 1))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (pow x 2)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2)))))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) #s(hole binary64 (/ 1 (pow x 6))))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) #s(hole binary64 (/ (+ 1 (* 1/12 (pow x 2))) (pow x 6))))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) (pow x 6))))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))) (pow x 6))))
#s(approx (+ 1/20160 (/ 1/12 (pow x 4))) #s(hole binary64 (/ 1/12 (pow x 4))))
#s(approx (+ 1/20160 (/ 1/12 (pow x 4))) #s(hole binary64 (/ (+ 1/12 (* 1/20160 (pow x 4))) (pow x 4))))
#s(approx (/ 1/12 (pow x 4)) #s(hole binary64 (/ 1/12 (pow x 4))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (pow x -2) 1/360) (pow x -6)) #s(hole binary64 (/ 1 (pow x 6))))
#s(approx (+ (* (pow x -2) 1/360) (pow x -6)) #s(hole binary64 (/ (+ 1 (* 1/360 (pow x 4))) (pow x 6))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (pow x -6) #s(hole binary64 (/ 1 (pow x 6))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (+ (* (* x x) (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x)) (* x x)) #s(hole binary64 (* 1/20160 (pow x 8))))
#s(approx (+ (* (* x x) (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x)) (* x x)) #s(hole binary64 (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x)) (* x x)) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x)) (* x x)) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) #s(hole binary64 (* 1/20160 (pow x 6))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) #s(hole binary64 (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) #s(hole binary64 (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* 1/20160 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(hole binary64 (* 1/20160 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(hole binary64 (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/20160) 1/360) #s(hole binary64 (* 1/20160 (pow x 2))))
#s(approx (+ (* (* x x) 1/20160) 1/360) #s(hole binary64 (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* 1/20160 (pow x 8))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- 2 (exp (neg x))) #s(hole binary64 (- 2 (exp (neg x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* 1/12 (pow x 2))))
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) #s(hole binary64 (* 1/20160 (pow x 8))))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) #s(hole binary64 (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) #s(hole binary64 1/20160))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) #s(hole binary64 (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) #s(hole binary64 (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) #s(hole binary64 (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))
#s(approx (+ 1/20160 (/ 1/12 (pow x 4))) #s(hole binary64 1/20160))
#s(approx (+ 1/20160 (/ 1/12 (pow x 4))) #s(hole binary64 (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))))
#s(approx (+ (* (pow x -2) 1/360) (pow x -6)) #s(hole binary64 (/ 1/360 (pow x 2))))
#s(approx (+ (* (pow x -2) 1/360) (pow x -6)) #s(hole binary64 (/ (+ 1/360 (/ 1 (pow x 4))) (pow x 2))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (- 2 (exp (neg x))) #s(hole binary64 (- 2 (exp (* -1 x)))))
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x))))

Outputs
#s(approx (- (exp x) (- 2 (exp (neg x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x) x)
(.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)))
(.f64 x (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x)) (.f64 (neg.f64 x) x)))))
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(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -6 binary64)))
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(-.f64 (pow.f64 x #s(literal -6 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/360 binary64)))
(-.f64 (pow.f64 x #s(literal -6 binary64)) (*.f64 #s(literal -1/360 binary64) (pow.f64 x #s(literal -2 binary64))))
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(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal -6 binary64)))
(+.f64 (pow.f64 x #s(literal -6 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64)))
(.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)))
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(pow.f64 (exp.f64 (log.f64 x)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #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 (neg.f64 x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) (sinh.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)))
#s(literal -2 binary64)
(*.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)))
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(*.f64 (fabs.f64 (pow.f64 x #s(literal -3 binary64))) (fabs.f64 (pow.f64 x #s(literal -3 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))
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(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -4 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -6 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -3 binary64))
(pow.f64 x #s(literal -6 binary64))
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(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 6 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal -6 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal -6 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)))
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(exp.f64 (*.f64 (log.f64 x) #s(literal -6 binary64)))
#s(literal -6 binary64)
#s(approx (- (exp x) (- 2 (exp (neg x)))) (*.f64 x x))
#s(approx (- (exp x) (- 2 (exp (neg x)))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
#s(approx (- (exp x) (- 2 (exp (neg x)))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
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#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 x x))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)))
#s(approx (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x))
#s(approx (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) (*.f64 #s(literal 1/12 binary64) x))
#s(approx (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x))
#s(approx (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x))
#s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64))
#s(approx (+ (* (* x x) 1/20160) 1/360) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 x x))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (pow x 8) 1/20160) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)))
#s(approx (pow x 8) (pow.f64 x #s(literal 8 binary64)))
#s(approx (- (exp x) (- 2 (exp (neg x)))) (*.f64 x x))
#s(approx (- (exp x) (- 2 (exp (neg x)))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
#s(approx (- (exp x) (- 2 (exp (neg x)))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (- (exp x) (- 2 (exp (neg x)))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x 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 (- 2 (exp (neg x))) #s(literal 1 binary64))
#s(approx (- 2 (exp (neg x))) (-.f64 x #s(literal -1 binary64)))
#s(approx (- 2 (exp (neg x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (- 2 (exp (neg x))) (fma.f64 (fma.f64 (-.f64 (*.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 (neg x)) #s(literal 1 binary64))
#s(approx (exp (neg x)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (exp (neg 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 (neg x) (neg.f64 x))
#s(approx (- (* (cosh x) 2) 2) (*.f64 x x))
#s(approx (- (* (cosh x) 2) 2) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
#s(approx (- (* (cosh x) 2) 2) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (- (* (cosh x) 2) 2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (*.f64 x x))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
#s(approx (+ (* (* x x) 1/12) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) 1/12) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) (*.f64 x x))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow.f64 x #s(literal -6 binary64)))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ 1/20160 (/ 1/12 (pow x 4))) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ 1/20160 (/ 1/12 (pow x 4))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/20160 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ 1/12 (pow x 4)) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx (+ (* (pow x -2) 1/360) (pow x -6)) (pow.f64 x #s(literal -6 binary64)))
#s(approx (+ (* (pow x -2) 1/360) (pow x -6)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/360 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (pow x -2) (pow.f64 x #s(literal -2 binary64)))
#s(approx (pow x -6) (pow.f64 x #s(literal -6 binary64)))
#s(approx (- (exp x) (- 2 (exp (neg x)))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/20160 binary64)))
#s(approx (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/20160 binary64)))
#s(approx (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) #s(literal 1/20160 binary64))))
#s(approx (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/20160 binary64))))
#s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/20160 binary64)))
#s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* x x) 1/20160) 1/360) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))
#s(approx (+ (* (* x x) 1/20160) 1/360) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) #s(literal 1/20160 binary64)) (.f64 x x)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (- (exp x) (- 2 (exp (neg x)))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (exp x) (exp.f64 x))
#s(approx (- 2 (exp (neg x))) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))
#s(approx (- (* (cosh x) 2) 2) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (* (* x x) 1/12) 1) (.f64 (.f64 x x) #s(literal 1/12 binary64)))
#s(approx (+ (* (* x x) 1/12) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (pow x 8)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) #s(literal 1/20160 binary64))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) #s(literal 1/20160 binary64)))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/20160 binary64)))
#s(approx (+ (+ 1/20160 (/ 1/12 (pow x 4))) (+ (* (pow x -2) 1/360) (pow x -6))) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))))
#s(approx (+ 1/20160 (/ 1/12 (pow x 4))) #s(literal 1/20160 binary64))
#s(approx (+ 1/20160 (/ 1/12 (pow x 4))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64)))
#s(approx (+ (* (pow x -2) 1/360) (pow x -6)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64)))
#s(approx (+ (* (pow x -2) 1/360) (pow x -6)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))))
#s(approx (- (exp x) (- 2 (exp (neg x)))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/360 binary64)) (.f64 x x)) #s(literal 1/20160 binary64))))
#s(approx (- (exp x) (- 2 (exp (neg x)))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (- 2 (exp (neg x))) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x)))

eval108.0ms (2.1%)

Memory: 11.9MiB live, 105.6MiB allocated; 72ms collecting garbage
Compiler: Compiled 32 209 to 3 629 computations (88.7% saved)

prune13.0ms (0.3%)

Memory

26.6MiB live, 26.6MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	766	4	770
Fresh	1	0	1
Picked	3	2	5
Done	0	4	4
Total	770	10	780

Accuracy

100.0%

Counts

780 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.2%	(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
✓	50.8%	(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
✓	50.8%	(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
▶	49.8%	(-.f64 (exp.f64 x) #s(approx (- 2 (exp (neg x))) #s(literal 1 binary64)))
✓	50.8%	(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
✓	48.4%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
▶	98.4%	#s(approx (- (* (cosh x) 2) 2) #s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
▶	13.4%	#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 8 binary64)))))
✓	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x)))
✓	98.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 177 to 125 computations (29.4% saved)

series16.0ms (0.3%)

Memory

-31.6MiB live, 17.5MiB allocated; 7ms collecting garbage

Counts

33 → 84

Calls

Call 1

Inputs
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 8 binary64)))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 8 binary64)))
(+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64)))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(literal 1/360 binary64)
(pow.f64 x #s(literal -6 binary64))
#s(literal -6 binary64)
(fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))
(pow.f64 x #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal 1/12 binary64)
#s(literal 1/20160 binary64)
(pow.f64 x #s(literal 8 binary64))
#s(literal 8 binary64)
#s(approx (- (* (cosh x) 2) 2) #s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 x x)
(-.f64 (exp.f64 x) #s(approx (- 2 (exp (neg x))) #s(literal 1 binary64)))
(exp.f64 x)
#s(approx (- 2 (exp (neg x))) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (pow x 2)))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) #s(hole binary64 (/ 1 (pow x 6))))
#s(approx (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) #s(hole binary64 (/ (+ 1 (* 1/12 (pow x 2))) (pow x 6))))
#s(approx (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) (pow x 6))))
#s(approx (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))) (pow x 6))))
#s(approx (+ (* (pow x -2) 1/360) (pow x -6)) #s(hole binary64 (/ 1 (pow x 6))))
#s(approx (+ (* (pow x -2) 1/360) (pow x -6)) #s(hole binary64 (/ (+ 1 (* 1/360 (pow x 4))) (pow x 6))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (pow x -6) #s(hole binary64 (/ 1 (pow x 6))))
#s(approx (+ (* (pow x -4) 1/12) 1/20160) #s(hole binary64 (/ 1/12 (pow x 4))))
#s(approx (+ (* (pow x -4) 1/12) 1/20160) #s(hole binary64 (/ (+ 1/12 (* 1/20160 (pow x 4))) (pow x 4))))
#s(approx (pow x -4) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (pow x 8) #s(hole binary64 (pow x 8)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (pow x 2)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (pow x 4) 1/12) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (pow x 4) 1/12) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* x x) #s(hole binary64 (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 (- 2 (exp (neg x))) #s(hole binary64 1))
#s(approx (- 2 (exp (neg x))) #s(hole binary64 (+ 1 x)))
#s(approx (- 2 (exp (neg x))) #s(hole binary64 (+ 1 (* x (+ 1 (* -1/2 x))))))
#s(approx (- 2 (exp (neg x))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (- (* 1/6 x) 1/2)))))))
#s(approx (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (pow (exp x) -1/2) #s(hole binary64 1))
#s(approx (pow (exp x) -1/2) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (pow (exp x) -1/2) #s(hole binary64 (+ 1 (* x (- (* 1/8 x) 1/2)))))
#s(approx (pow (exp x) -1/2) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))))
#s(approx (- (exp x) 2) #s(hole binary64 -1))
#s(approx (- (exp x) 2) #s(hole binary64 (- x 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* 1/20160 (pow x 8))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) #s(hole binary64 (* 1/20160 (pow x 8))))
#s(approx (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) #s(hole binary64 (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) #s(hole binary64 1/20160))
#s(approx (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) #s(hole binary64 (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))))
#s(approx (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) #s(hole binary64 (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) #s(hole binary64 (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))
#s(approx (+ (* (pow x -2) 1/360) (pow x -6)) #s(hole binary64 (/ 1/360 (pow x 2))))
#s(approx (+ (* (pow x -2) 1/360) (pow x -6)) #s(hole binary64 (/ (+ 1/360 (/ 1 (pow x 4))) (pow x 2))))
#s(approx (+ (* (pow x -4) 1/12) 1/20160) #s(hole binary64 1/20160))
#s(approx (+ (* (pow x -4) 1/12) 1/20160) #s(hole binary64 (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (pow x 4) 1/12) (* x x)) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* (pow x 4) 1/12) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- 2 (exp (neg x))) #s(hole binary64 (- 2 (exp (neg x)))))
#s(approx (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (pow (exp x) -1/2) #s(hole binary64 (sqrt (/ 1 (exp x)))))
#s(approx (- (exp x) 2) #s(hole binary64 (- (exp x) 2)))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (- 2 (exp (neg x))) #s(hole binary64 (- 2 (exp (* -1 x)))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	((- (exp x) (- 2 (exp (neg x)))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (+ (* (pow x -2) 1/360) (pow x -6)) (pow x -2) x -2 1/360 (pow x -6) -6 (+ (* (pow x -4) 1/12) 1/20160) (pow x -4) -4 1/12 1/20160 (pow x 8) 8 (- (* (cosh x) 2) 2) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) 4 (* x x) (- (exp x) (- 2 (exp (neg x)))) (exp x) (- 2 (exp (neg x))) 1 (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) (pow (exp x) -1/2) -1/2 (- (exp x) 2) 2)
4.0ms	x	@	inf	((- (exp x) (- 2 (exp (neg x)))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (+ (* (pow x -2) 1/360) (pow x -6)) (pow x -2) x -2 1/360 (pow x -6) -6 (+ (* (pow x -4) 1/12) 1/20160) (pow x -4) -4 1/12 1/20160 (pow x 8) 8 (- (* (cosh x) 2) 2) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) 4 (* x x) (- (exp x) (- 2 (exp (neg x)))) (exp x) (- 2 (exp (neg x))) 1 (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) (pow (exp x) -1/2) -1/2 (- (exp x) 2) 2)
4.0ms	x	@	-inf	((- (exp x) (- 2 (exp (neg x)))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (+ (* (pow x -2) 1/360) (pow x -6)) (pow x -2) x -2 1/360 (pow x -6) -6 (+ (* (pow x -4) 1/12) 1/20160) (pow x -4) -4 1/12 1/20160 (pow x 8) 8 (- (* (cosh x) 2) 2) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) 4 (* x x) (- (exp x) (- 2 (exp (neg x)))) (exp x) (- 2 (exp (neg x))) 1 (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) (pow (exp x) -1/2) -1/2 (- (exp x) 2) 2)

Time

Variable

Point

Expression

6.0ms

((- (exp x) (- 2 (exp (neg x)))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (+ (* (pow x -2) 1/360) (pow x -6)) (pow x -2) x -2 1/360 (pow x -6) -6 (+ (* (pow x -4) 1/12) 1/20160) (pow x -4) -4 1/12 1/20160 (pow x 8) 8 (- (* (cosh x) 2) 2) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) 4 (* x x) (- (exp x) (- 2 (exp (neg x)))) (exp x) (- 2 (exp (neg x))) 1 (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) (pow (exp x) -1/2) -1/2 (- (exp x) 2) 2)

4.0ms

inf

((- (exp x) (- 2 (exp (neg x)))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (+ (* (pow x -2) 1/360) (pow x -6)) (pow x -2) x -2 1/360 (pow x -6) -6 (+ (* (pow x -4) 1/12) 1/20160) (pow x -4) -4 1/12 1/20160 (pow x 8) 8 (- (* (cosh x) 2) 2) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) 4 (* x x) (- (exp x) (- 2 (exp (neg x)))) (exp x) (- 2 (exp (neg x))) 1 (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) (pow (exp x) -1/2) -1/2 (- (exp x) 2) 2)

4.0ms

-inf

((- (exp x) (- 2 (exp (neg x)))) (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (+ (* (pow x -2) 1/360) (pow x -6)) (pow x -2) x -2 1/360 (pow x -6) -6 (+ (* (pow x -4) 1/12) 1/20160) (pow x -4) -4 1/12 1/20160 (pow x 8) 8 (- (* (cosh x) 2) 2) (* (+ (* (* x x) 1/12) 1) (* x x)) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) 4 (* x x) (- (exp x) (- 2 (exp (neg x)))) (exp x) (- 2 (exp (neg x))) 1 (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) (pow (exp x) -1/2) -1/2 (- (exp x) 2) 2)

rewrite57.0ms (1.1%)

Memory

6.6MiB live, 51.8MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	252	1984
0	276	1863
0	1319	1768

Stop Event

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

Counts

117 → 203

Calls

Call 1

Inputs
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 8 binary64)))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 8 binary64)))
(+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64)))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(literal 1/360 binary64)
(pow.f64 x #s(literal -6 binary64))
#s(literal -6 binary64)
(fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))
(pow.f64 x #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal 1/12 binary64)
#s(literal 1/20160 binary64)
(pow.f64 x #s(literal 8 binary64))
#s(literal 8 binary64)
#s(approx (- (* (cosh x) 2) 2) #s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 x x)
(-.f64 (exp.f64 x) #s(approx (- 2 (exp (neg x))) #s(literal 1 binary64)))
(exp.f64 x)
#s(approx (- 2 (exp (neg x))) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (pow x 2)))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) #s(hole binary64 (/ 1 (pow x 6))))
#s(approx (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) #s(hole binary64 (/ (+ 1 (* 1/12 (pow x 2))) (pow x 6))))
#s(approx (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))) (pow x 6))))
#s(approx (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))) (pow x 6))))
#s(approx (+ (* (pow x -2) 1/360) (pow x -6)) #s(hole binary64 (/ 1 (pow x 6))))
#s(approx (+ (* (pow x -2) 1/360) (pow x -6)) #s(hole binary64 (/ (+ 1 (* 1/360 (pow x 4))) (pow x 6))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (pow x -6) #s(hole binary64 (/ 1 (pow x 6))))
#s(approx (+ (* (pow x -4) 1/12) 1/20160) #s(hole binary64 (/ 1/12 (pow x 4))))
#s(approx (+ (* (pow x -4) 1/12) 1/20160) #s(hole binary64 (/ (+ 1/12 (* 1/20160 (pow x 4))) (pow x 4))))
#s(approx (pow x -4) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (pow x 8) #s(hole binary64 (pow x 8)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (pow x 2)))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (pow x 4) 1/12) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (pow x 4) 1/12) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* x x) #s(hole binary64 (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 (- 2 (exp (neg x))) #s(hole binary64 1))
#s(approx (- 2 (exp (neg x))) #s(hole binary64 (+ 1 x)))
#s(approx (- 2 (exp (neg x))) #s(hole binary64 (+ 1 (* x (+ 1 (* -1/2 x))))))
#s(approx (- 2 (exp (neg x))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (- (* 1/6 x) 1/2)))))))
#s(approx (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))))
#s(approx (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))))
#s(approx (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))))
#s(approx (pow (exp x) -1/2) #s(hole binary64 1))
#s(approx (pow (exp x) -1/2) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (pow (exp x) -1/2) #s(hole binary64 (+ 1 (* x (- (* 1/8 x) 1/2)))))
#s(approx (pow (exp x) -1/2) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/8 (* -1/48 x))) 1/2)))))
#s(approx (- (exp x) 2) #s(hole binary64 -1))
#s(approx (- (exp x) 2) #s(hole binary64 (- x 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* 1/2 x))) 1)))
#s(approx (- (exp x) 2) #s(hole binary64 (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (- (+ (exp x) (exp (neg x))) 2)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* 1/20160 (pow x 8))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) #s(hole binary64 (* 1/20160 (pow x 8))))
#s(approx (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) #s(hole binary64 (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) #s(hole binary64 (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) #s(hole binary64 1/20160))
#s(approx (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) #s(hole binary64 (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))))
#s(approx (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) #s(hole binary64 (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))))
#s(approx (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) #s(hole binary64 (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))
#s(approx (+ (* (pow x -2) 1/360) (pow x -6)) #s(hole binary64 (/ 1/360 (pow x 2))))
#s(approx (+ (* (pow x -2) 1/360) (pow x -6)) #s(hole binary64 (/ (+ 1/360 (/ 1 (pow x 4))) (pow x 2))))
#s(approx (+ (* (pow x -4) 1/12) 1/20160) #s(hole binary64 1/20160))
#s(approx (+ (* (pow x -4) 1/12) 1/20160) #s(hole binary64 (+ 1/20160 (* 1/12 (/ 1 (pow x 4))))))
#s(approx (- (* (cosh x) 2) 2) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (+ (* (pow x 4) 1/12) (* x x)) #s(hole binary64 (* 1/12 (pow x 4))))
#s(approx (+ (* (pow x 4) 1/12) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))))
#s(approx (exp x) #s(hole binary64 (exp x)))
#s(approx (- 2 (exp (neg x))) #s(hole binary64 (- 2 (exp (neg x)))))
#s(approx (+ (* (pow (exp x) -1/2) (pow (exp x) -1/2)) (- (exp x) 2)) #s(hole binary64 (- (+ (exp x) (/ 1 (exp x))) 2)))
#s(approx (pow (exp x) -1/2) #s(hole binary64 (sqrt (/ 1 (exp x)))))
#s(approx (- (exp x) 2) #s(hole binary64 (- (exp x) 2)))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(hole binary64 (- (+ (exp x) (exp (* -1 x))) 2)))
#s(approx (- 2 (exp (neg x))) #s(hole binary64 (- 2 (exp (* -1 x)))))

Outputs
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))))))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))))
(*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 8 binary64)))
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 8 binary64))))
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))))))
(fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 8 binary64))))
(fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))))))
(+.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 8 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)) (.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))))))
(/.f64 (-.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64)))) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))))
(/.f64 (-.f64 #s(literal 1/406425600 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))))) (-.f64 #s(literal 1/20160 binary64) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) (-.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))))))
(/.f64 (+.f64 #s(literal 1/8193540096000 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/406425600 binary64) (-.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))))) (.f64 #s(literal 1/20160 binary64) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))))))))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (+.f64 (pow.f64 x #s(literal -6 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -6 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))))
(+.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) #s(literal 1/20160 binary64))
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64)) (+.f64 (pow.f64 x #s(literal -6 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))))
(+.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))))
(+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64)))
(+.f64 #s(literal 1/20160 binary64) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64))) (.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -6 binary64)))) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal -6 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal -6 binary64))) (.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal -6 binary64))))))
(fma.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64)))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -6 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal -6 binary64)))
(+.f64 (pow.f64 x #s(literal -6 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
x
#s(literal -2 binary64)
#s(literal 1/360 binary64)
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -6 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -6 binary64)))
#s(literal -6 binary64)
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64))) #s(literal 1/406425600 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64)) #s(literal 1/20160 binary64)))
(/.f64 (-.f64 #s(literal 1/406425600 binary64) (.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64)))) (-.f64 #s(literal 1/20160 binary64) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64)) #s(literal 3 binary64)) #s(literal 1/8193540096000 binary64)) (fma.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64)) (-.f64 #s(literal 1/406425600 binary64) (.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64)) #s(literal 1/20160 binary64)))))
(/.f64 (+.f64 #s(literal 1/8193540096000 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/406425600 binary64) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64))) (.f64 #s(literal 1/20160 binary64) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64))))))
(fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/20160 binary64))
(-.f64 #s(literal 1/20160 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal -4 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64)) #s(literal 1/20160 binary64))
(+.f64 #s(literal 1/20160 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -4 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -4 binary64)))
#s(literal -4 binary64)
#s(literal 1/12 binary64)
#s(literal 1/20160 binary64)
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 8 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 8 binary64)))
#s(literal 8 binary64)
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (*.f64 x x)))
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(-.f64 (exp.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
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#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
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#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/20160 binary64) x) x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) (*.f64 x x))
#s(approx (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) x))
#s(approx (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (* (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow x 8)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/20160 binary64) x) x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (pow.f64 x #s(literal -6 binary64)))
#s(approx (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))))
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#s(approx (+ (+ (* (pow x -2) 1/360) (pow x -6)) (+ (* (pow x -4) 1/12) 1/20160)) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/20160 binary64) x) x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (pow x -2) 1/360) (pow x -6)) (pow.f64 x #s(literal -6 binary64)))
#s(approx (+ (* (pow x -2) 1/360) (pow x -6)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/360 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (pow x -2) (pow.f64 x #s(literal -2 binary64)))
#s(approx x x)
#s(approx (pow x -6) (pow.f64 x #s(literal -6 binary64)))
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#s(approx (pow x -4) (pow.f64 x #s(literal -4 binary64)))
#s(approx (pow x 8) (pow.f64 x #s(literal 8 binary64)))
#s(approx (- (exp x) (- 2 (exp (neg x)))) (*.f64 x x))
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#s(approx (- (exp x) (- 2 (exp (neg x)))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
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#s(approx (pow (exp x) -1/2) #s(literal 1 binary64))
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#s(approx (- (exp x) 2) (-.f64 x #s(literal 1 binary64)))
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#s(approx (- (exp x) (- 2 (exp (neg x)))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
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#s(approx (+ (* (pow x -4) 1/12) 1/20160) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64)))
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#s(approx (exp x) (exp.f64 x))
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#s(approx (pow (exp x) -1/2) (sqrt.f64 (exp.f64 (neg.f64 x))))
#s(approx (- (exp x) 2) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
#s(approx (- (exp x) (- 2 (exp (neg x)))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (- 2 (exp (neg x))) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))

eval16.0ms (0.3%)

Memory: 24.0MiB live, 24.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 7 641 to 865 computations (88.7% saved)

prune11.0ms (0.2%)

Memory

-31.3MiB live, 14.7MiB allocated; 3ms collecting garbage

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	0	0
Picked	0	4	4
Done	0	6	6
Total	194	10	204

Accuracy

100.0%

Counts

204 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.2%	(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
✓	50.8%	(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
✓	50.8%	(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
✓	49.8%	(-.f64 (exp.f64 x) #s(approx (- 2 (exp (neg x))) #s(literal 1 binary64)))
✓	50.8%	(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
✓	48.4%	(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
✓	98.4%	#s(approx (- (* (cosh x) 2) 2) #s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
✓	13.4%	#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 8 binary64)))))
✓	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x)))
✓	98.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 524 to 232 computations (55.7% saved)

regimes8.0ms (0.2%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 (exp.f64 x) #s(approx (- 2 (exp (neg x))) #s(literal 1 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (- (* (cosh x) 2) 2) #s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
#s(approx (- (* (cosh x) 2) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 8 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 8 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 4 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))

Outputs

#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x) (*.f64 x x)))

Calls

2 calls:

4.0ms	x
3.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.9%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
98.9%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes8.0ms (0.1%)

Memory

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

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 (exp.f64 x) #s(approx (- 2 (exp (neg x))) #s(literal 1 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (- (* (cosh x) 2) 2) #s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
#s(approx (- (* (cosh x) 2) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 8 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 8 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))

Outputs

#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x))

Calls

2 calls:

4.0ms	x
3.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.9%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
98.9%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes7.0ms (0.1%)

Memory

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

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 (exp.f64 x) #s(approx (- 2 (exp (neg x))) #s(literal 1 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (- (* (cosh x) 2) 2) #s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
#s(approx (- (* (cosh x) 2) 2) (.f64 (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (-.f64 (exp.f64 x) #s(literal 2 binary64)))
#s(approx (- (exp x) (- 2 (exp (neg x)))) #s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/12 binary64) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 8 binary64)))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 8 binary64)))))

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

Calls

2 calls:

4.0ms	x
3.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.4%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
98.4%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes8.0ms (0.2%)

Memory

-41.6MiB live, 8.0MiB allocated; 6ms collecting garbage

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 (exp.f64 x) #s(approx (- 2 (exp (neg x))) #s(literal 1 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (- (* (cosh x) 2) 2) #s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 (expm1.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))

Outputs
#s(approx (- (* (cosh x) 2) 2) #s(approx (* (+ (* (* x x) 1/12) 1) (* x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))

Calls

2 calls:

5.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
3.0ms	x

Results

Accuracy	Segments	Branch
98.4%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
98.4%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes4.0ms (0.1%)

Memory

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

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 (exp.f64 x) #s(approx (- 2 (exp (neg x))) #s(literal 1 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))

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

Calls

2 calls:

2.0ms	x
1.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.9%	2	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.9%	2	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Accuracy

Total -31.9b remaining (-2743.5%)

Threshold costs -31.9b (-2743.5%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 (exp.f64 x) #s(approx (- 2 (exp (neg x))) #s(literal 1 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))))
(+.f64 #s(approx (- (exp x) 2) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Calls

2 calls:

2.0ms	x
1.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.2%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
98.2%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch21.0ms (0.4%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.7575637988076746e-8	0.02439318993365082

Samples

13.0ms

144×

valid

Compiler

Compiled 173 to 155 computations (10.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-exp: 5.0ms (50.3% of total)

adjust: 3.0ms (30.2% of total)

ival-sub!: 1.0ms (10.1% of total)

ival-add!: 1.0ms (10.1% of total)

ival-neg: 1.0ms (10.1% of total)

derivations122.0ms (2.4%)

Memory

-24.9MiB live, 66.3MiB allocated; 7ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 138 to 49 computations (64.5% saved)

preprocess48.0ms (1%)

Memory: 43.5MiB live, 88.6MiB allocated; 4ms collecting garbage
Remove: (abs x)
Compiler: Compiled 568 to 290 computations (48.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample3.7s (72.7%)

explain238.0ms (4.7%)

preprocess44.0ms (0.9%)

series3.0ms (0.1%)

rewrite202.0ms (4%)

eval9.0ms (0.2%)

prune5.0ms (0.1%)

series12.0ms (0.2%)

rewrite166.0ms (3.3%)

eval51.0ms (1%)

prune15.0ms (0.3%)

series16.0ms (0.3%)

rewrite171.0ms (3.4%)

eval108.0ms (2.1%)

prune13.0ms (0.3%)

series16.0ms (0.3%)

rewrite57.0ms (1.1%)

eval16.0ms (0.3%)

prune11.0ms (0.2%)

regimes8.0ms (0.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes8.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch21.0ms (0.4%)

derivations122.0ms (2.4%)

preprocess48.0ms (1%)

end0.0ms (0%)

Profiling