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)

sample3.2s (29.6%)

Memory

15.6MiB live, 3 133.3MiB allocated; 385ms collecting garbage

Samples

2.5s	5 776×	2	valid
375.0ms	2 334×	1	valid
8.0ms	146×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.5s

ival-exp: 1.7s (70% of total)

adjust: 439.0ms (17.7% of total)

ival-sub: 159.0ms (6.4% of total)

ival-add: 100.0ms (4% of total)

ival-neg: 36.0ms (1.5% of total)

exact: 7.0ms (0.3% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain284.0ms (2.6%)

Memory

2.2MiB live, 280.3MiB allocated; 83ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
124	0	-	-	`(+.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	3	(-213.6447391923705)	-	`(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	124	0
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	3	0

Confusion

	Predicted +	Predicted -
+	124	0
-	3	129

Precision

0.9763779527559056

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	124	0	0
-	3	0	129

Precision?

0.9763779527559056

Recall?

1.0

Freqs

test

number	freq
0	129
1	127

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

171.0ms	362×	2	valid
47.0ms	140×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 54 to 25 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-exp: 121.0ms (62.6% of total)

ival-sub: 34.0ms (17.6% of total)

adjust: 28.0ms (14.5% of total)

ival-add: 6.0ms (3.1% of total)

ival-neg: 2.0ms (1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess161.0ms (1.5%)

Memory

37.4MiB live, 170.7MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	40	25
2	113	25
3	482	24
4	2358	24
0	7	8
0	12	8
1	25	8
2	62	8
3	233	8
4	1074	6
5	6040	6
0	8973	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.7%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

series2.0ms (0%)

Memory

3.4MiB live, 3.4MiB 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	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) x 2 (exp (neg x)) (neg x))
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))

Time

Variable

Point

Expression

1.0ms

-inf

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

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))

rewrite160.0ms (1.5%)

Memory

-22.5MiB live, 117.2MiB allocated; 23ms 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)))
(exp.f64 x)
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.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))
(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 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.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)))

eval10.0ms (0.1%)

Memory: 16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 654 to 340 computations (79.4% saved)

prune69.0ms (0.6%)

Memory

-16.1MiB live, 79.0MiB allocated; 16ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	2	102

Accuracy

100.0%

Counts

102 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.7%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	98.7%	#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))

Status

Accuracy

Program

✓

55.7%

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

▶

98.7%

#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))

Compiler

Compiled 37 to 25 computations (32.4% saved)

series6.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Counts

12 → 44

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)

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) (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) (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)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	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)
1.0ms	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)
1.0ms	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)

Time

Variable

Point

Expression

2.0ms

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)

1.0ms

-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)

1.0ms

((+ (- (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)

rewrite200.0ms (1.9%)

Memory

34.7MiB live, 167.9MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	1299
0	158	1239
1	753	1188
0	6359	1129

Stop Event

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

Counts

56 → 269

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))) #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) (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) (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)))))))))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (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 (.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)) (fabs.f64 x)) (fabs.f64 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)) (neg.f64 x)) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (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 (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 (neg.f64 x) (.f64 (neg.f64 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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (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))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (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))) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.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 (.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 2 binary64)) #s(literal 1 binary64)) (.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 (.f64 (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 x x)) (fma.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) (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(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 x x)) (+.f64 (-.f64 #s(literal 1 binary64) (.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)) (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))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (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)))) (-.f64 #s(literal 1 binary64) (.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 (.f64 (.f64 x x) (-.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)) #s(literal 1 binary64))) (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 (.f64 (.f64 x x) (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.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) (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(literal 1 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (.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)) (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))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (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 (pow.f64 x #s(literal 4 binary64)) (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 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) (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 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (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(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (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 (pow.f64 x #s(literal 4 binary64)) (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 (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) (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 (.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) (fabs.f64 x)) (fabs.f64 x) (.f64 x x))
(fma.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) (neg.f64 x)) (neg.f64 x) (.f64 x x))
(fma.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x (.f64 (pow.f64 x #s(literal 4 binary64)) (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 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (pow.f64 x #s(literal 4 binary64)) (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 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (pow.f64 x #s(literal 4 binary64)) (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 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (pow.f64 x #s(literal 4 binary64)) (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 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (pow.f64 x #s(literal 4 binary64)) (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 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (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 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (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 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (pow.f64 x #s(literal 4 binary64)) (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 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (pow.f64 x #s(literal 4 binary64)) (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 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (pow.f64 x #s(literal 4 binary64)) (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 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (pow.f64 x #s(literal 4 binary64)) (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 (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) (pow.f64 x #s(literal 3 binary64)) (.f64 x x))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (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 (.f64 x x))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (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 (fabs.f64 x) (.f64 (fabs.f64 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 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (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 (fabs.f64 x) (fabs.f64 x) (.f64 (pow.f64 x #s(literal 4 binary64)) (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 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (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 (pow.f64 x #s(literal 4 binary64)) (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))
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(fma.f64 (*.f64 #s(literal 1/20160 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/360 binary64))
(fma.f64 (*.f64 #s(literal 1/20160 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/360 binary64))
(fma.f64 (*.f64 #s(literal 1/20160 binary64) x) x #s(literal 1/360 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(fma.f64 x (*.f64 #s(literal 1/20160 binary64) x) #s(literal 1/360 binary64))
(-.f64 (/.f64 #s(literal 1/129600 binary64) (-.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))) (/.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/360 binary64) (.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) (/.f64 #s(literal 1/129600 binary64) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))
(-.f64 #s(literal 1/360 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/20160 binary64) x)) x))
(-.f64 #s(literal 1/360 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/20160 binary64)))
(-.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x)))
(+.f64 (/.f64 #s(literal 1/46656000 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) #s(literal 1/129600 binary64))) (/.f64 (.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) #s(literal 1/129600 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (.f64 #s(literal 1/7257600 binary64) (.f64 x x))))) (/.f64 #s(literal 1/46656000 binary64) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (.f64 #s(literal 1/7257600 binary64) (*.f64 x x))))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(+.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))
#s(literal 1/20160 binary64)
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 x (.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(literal 1 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (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 (* (* (+ (* (+ (* (+ (* 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) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (* (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)))
#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 3 binary64)) (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 (* (+ (* (+ (* (+ (* 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) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x))
#s(approx (* (+ (* (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (* x x)) 1) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (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 (+ (* (+ (* (+ (* 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) 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 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (fma.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 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64)) (+.f64 (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))) (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)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (fma.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)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64)) (+.f64 (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)))))
#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)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (fma.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 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64)) (+.f64 (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))) (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 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) (fma.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 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/360 binary64) #s(literal 1/20160 binary64)) x) x))
#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) (*.f64 (neg.f64 (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/360 binary64)) x) x) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 7 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 (neg.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64)) (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)))))

eval71.0ms (0.7%)

Memory: -26.6MiB live, 70.0MiB allocated; 52ms collecting garbage
Compiler: Compiled 12 845 to 1 709 computations (86.7% saved)

prune3.3s (30.7%)

Memory

-37.6MiB live, 3 808.5MiB allocated; 1.2s collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	350	1	351
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	351	2	353

Accuracy

100.0%

Counts

353 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.7%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	98.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (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)))))

Status

Accuracy

Program

✓

55.7%

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

▶

98.7%

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

Compiler

Compiled 41 to 28 computations (31.7% saved)

series6.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Counts

15 → 35

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (+ (* (* (neg x) 1) (* (neg x) 1)) (* (pow x 4) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12))) (* (neg x) 1) (neg x) x 1 (* (pow x 4) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12)) (pow x 4) 4 (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (+ (* (* x x) 1/20160) 1/360) (* x x) 1/20160 1/360 1/12)
2.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (+ (* (* (neg x) 1) (* (neg x) 1)) (* (pow x 4) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12))) (* (neg x) 1) (neg x) x 1 (* (pow x 4) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12)) (pow x 4) 4 (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (+ (* (* x x) 1/20160) 1/360) (* x x) 1/20160 1/360 1/12)
1.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (+ (* (* (neg x) 1) (* (neg x) 1)) (* (pow x 4) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12))) (* (neg x) 1) (neg x) x 1 (* (pow x 4) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12)) (pow x 4) 4 (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (+ (* (* x x) 1/20160) 1/360) (* x x) 1/20160 1/360 1/12)

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

rewrite162.0ms (1.5%)

Memory

-24.4MiB live, 163.6MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	929
0	130	839
1	628	815
0	5046	787

Stop Event

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

Counts

50 → 317

Calls

Call 1

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

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

eval44.0ms (0.4%)

Memory: 24.2MiB live, 69.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 13 516 to 1 430 computations (89.4% saved)

prune3.0s (28.2%)

Memory

52.8MiB live, 3 597.0MiB allocated; 526ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	355	0	355
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	355	2	357

Accuracy

100.0%

Counts

357 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.7%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
✓	98.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (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)))))

Status

Accuracy

Program

✓

55.7%

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

✓

98.7%

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

Compiler

Compiled 111 to 74 computations (33.3% saved)

derivations46.0ms (0.4%)

Memory

-20.3MiB live, 26.3MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 33 to 21 computations (36.4% saved)

preprocess14.0ms (0.1%)

Memory: 21.4MiB live, 21.4MiB allocated; 0ms collecting garbage
Remove: (abs x)
Compiler: Compiled 148 to 98 computations (33.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample3.2s (29.6%)

explain284.0ms (2.6%)

preprocess161.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

series2.0ms (0%)

rewrite160.0ms (1.5%)

eval10.0ms (0.1%)

prune69.0ms (0.6%)

series6.0ms (0.1%)

rewrite200.0ms (1.9%)

eval71.0ms (0.7%)

prune3.3s (30.7%)

series6.0ms (0.1%)

rewrite162.0ms (1.5%)

eval44.0ms (0.4%)

prune3.0s (28.2%)

derivations46.0ms (0.4%)

preprocess14.0ms (0.1%)

end0.0ms (0%)

Profiling