Metrics for exp2 (problem 3.3.7)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

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)

sample4.2s (42.1%)

Memory

90.7MiB live, 3 445.8MiB allocated

Samples

3.1s	5 759×	2	valid
528.0ms	2 352×	1	valid
9.0ms	145×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.3s

ival-exp: 2.3s (70% of total)

adjust: 564.0ms (16.9% of total)

ival-sub: 124.0ms (3.7% of total)

ival-add: 102.0ms (3.1% of total)

ival-fabs: 82.0ms (2.5% of total)

ival-<=: 78.0ms (2.3% of total)

ival-neg: 39.0ms (1.2% of total)

exact: 10.0ms (0.3% of total)

ival-assert: 4.0ms (0.1% of total)

Bogosity

explain348.0ms (3.5%)

Memory

-37.2MiB live, 195.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
124	-	-	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
0	-	-	`(-.f64 (exp.f64 x) #s(literal 2 binary64))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(exp.f64 x)`
0	-	-	`(exp.f64 (neg.f64 x))`
0	-	-	`(neg.f64 x)`
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

Confusion

	Predicted +	Predicted -
+	124	0
-	0	132

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	124	0	0
-	0	0	132

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	132
1	124

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

254.0ms	370×	2	valid
29.0ms	132×	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: 250.0ms

ival-exp: 145.0ms (57.9% of total)

ival-add: 69.0ms (27.6% of total)

adjust: 26.0ms (10.4% of total)

ival-sub: 7.0ms (2.8% of total)

ival-neg: 2.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess155.0ms (1.6%)

Memory

28.1MiB live, 172.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	33	17
2	78	17
3	291	17
4	1574	13
5	7555	13
0	7	8
0	12	8
1	25	8
2	57	8
3	181	8
4	800	6
5	7279	6
0	8679	6

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)))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #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
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.5%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify140.0ms (1.4%)

Memory

-0.1MiB live, 223.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	0	(exp.f64 x)
cost-diff	0	(-.f64 (exp.f64 x) #s(literal 2 binary64))
cost-diff	2	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	12	21
1	25	21
2	57	21
3	181	21
4	800	19
5	7279	19
0	8679	19

Stop Event

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

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

localize105.0ms (1.1%)

Memory

17.5MiB live, 159.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 (neg.f64 x))
accuracy	0.0	(exp.f64 x)
accuracy	0.02734375	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	27.83886191446599	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Samples

86.0ms	185×	2	valid
10.0ms	66×	1	valid
0.0ms	5×	0	valid

Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-exp: 51.0ms (68% of total)

adjust: 16.0ms (21.3% of total)

ival-sub: 4.0ms (5.3% of total)

ival-add: 3.0ms (4% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

4 → 21

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)
(exp.f64 (neg.f64 x))

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))
0.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))
0.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))

Time

Variable

Point

Expression

1.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

simplify188.0ms (1.9%)

Memory

18.9MiB live, 202.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	160
1	208	159
2	664	153
3	2594	153
4	7057	153
0	8435	136

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 21

Calls

Call 1

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

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 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)) x) x)
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (-.f64 x #s(literal 1 binary64)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 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))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp x)
(exp.f64 x)
(exp (neg x))
(exp.f64 (neg.f64 x))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(exp (* -1 x))
(exp.f64 (neg.f64 x))

rewrite225.0ms (2.3%)

Memory

-23.8MiB live, 220.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	12	17
1	52	17
2	423	15
3	7689	15
0	8101	15

Stop Event

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

Counts

4 → 238

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)
(exp.f64 (neg.f64 x))

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (exp.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x)))
(.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x)) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)))) (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 6 binary64)))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (exp.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 x)) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)))
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (exp.f64 x))
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 x))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.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 (-.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 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))) (+.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 x) #s(literal -2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 (sinh.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (sinh.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64))))) (+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x))) (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x)))) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (+.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x)))
(/.f64 (-.f64 (*.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x))) (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x)))) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (-.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 (neg.f64 x))))
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(exp.f64 (neg.f64 x))

eval33.0ms (0.3%)

Memory: 13.3MiB live, 57.4MiB allocated
Compiler: Compiled 7 696 to 928 computations (87.9% saved)

prune11.0ms (0.1%)

Memory

-26.8MiB live, 19.3MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	251	6	257
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	251	7	258

Accuracy

100.0%

Counts

258 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.5%	(/.f64 (-.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 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))
▶	56.4%	(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)))
▶	56.5%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓	56.5%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	99.2%	#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)))
▶	99.4%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x))
▶	98.4%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 250 to 141 computations (43.6% saved)

simplify111.0ms (1.1%)

Memory

30.9MiB live, 128.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 2 binary64) (cosh.f64 x))
cost-diff	0	(-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64))
cost-diff	0	(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)))
cost-diff	2	(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
cost-diff	0	#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)))
cost-diff	0	(cosh.f64 x)
cost-diff	0	(*.f64 #s(literal 2 binary64) (cosh.f64 x))
cost-diff	0	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
cost-diff	0	(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	177
0	45	171
1	98	171
2	332	171
3	1595	165
0	9029	165

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
x
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
#s(literal 2 binary64)
(cosh.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)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/12 binary64)
(*.f64 x x)
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)))
(-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
#s(literal 2 binary64)
(cosh.f64 x)
x
#s(literal 4 binary64)
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64))

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

localize289.0ms (2.9%)

Memory

13.0MiB live, 290.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64))
accuracy	0.01953125	(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
accuracy	0.0234375	(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)))
accuracy	27.92335769421868	(-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy	0.5279194138232581	#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)))
accuracy	0.0	(*.f64 #s(literal 2 binary64) (cosh.f64 x))
accuracy	0.0	(cosh.f64 x)
accuracy	27.86062690221697	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	1.0142504991943853	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)
accuracy	0.015625	(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
accuracy	0.35529304308675647	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x))

Samples

224.0ms	185×	2	valid
37.0ms	67×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 160 to 30 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-exp: 63.0ms (28.7% of total)

adjust: 51.0ms (23.2% of total)

ival-cosh: 31.0ms (14.1% of total)

ival-mult: 24.0ms (10.9% of total)

ival-add: 13.0ms (5.9% of total)

ival-sub: 10.0ms (4.6% of total)

const: 10.0ms (4.6% of total)

ival-pow: 10.0ms (4.6% of total)

ival-div: 6.0ms (2.7% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory

-31.3MiB live, 16.9MiB allocated

Counts

17 → 50

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(cosh.f64 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)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)))
(-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64))

Outputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(pow x 3)
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(pow x 4)
4
(+ 4 (* 4 (pow x 2)))
(+ 4 (* (pow x 2) (+ 4 (* 4/3 (pow x 2)))))
(+ 4 (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2)))))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 4/3 (pow x 2))))
(* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2))))))
(* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 8/45 (* 4/315 (pow x 2))))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 4 (pow x 2))
(+ 4 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 4 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+ (exp x) (/ 1 (exp x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(pow (+ (exp x) (/ 1 (exp x))) 2)
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 2) 4) (+ 2 (+ (exp x) (/ 1 (exp x)))))
(- (pow (+ (exp x) (/ 1 (exp x))) 2) 4)
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+ 2 (+ (exp x) (/ 1 (exp x))))
(- (+ (exp x) (exp (* -1 x))) 2)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))

Calls

3 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (pow x 3) (+ (- (exp x) 2) (exp (neg x))) (* x x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (* (* 2 (cosh x)) (* 2 (cosh x))) (/ (- (* (* 2 (cosh x)) (* 2 (cosh x))) 4) (+ (* 2 (cosh x)) 2)) (- (* (* 2 (cosh x)) (* 2 (cosh x))) 4) (+ (* 1/360 (* x x)) 1/12) (+ (* 2 (cosh x)) 2))
5.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (pow x 3) (+ (- (exp x) 2) (exp (neg x))) (* x x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (* (* 2 (cosh x)) (* 2 (cosh x))) (/ (- (* (* 2 (cosh x)) (* 2 (cosh x))) 4) (+ (* 2 (cosh x)) 2)) (- (* (* 2 (cosh x)) (* 2 (cosh x))) 4) (+ (* 1/360 (* x x)) 1/12) (+ (* 2 (cosh x)) 2))
3.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (pow x 3) (+ (- (exp x) 2) (exp (neg x))) (* x x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (* (* 2 (cosh x)) (* 2 (cosh x))) (/ (- (* (* 2 (cosh x)) (* 2 (cosh x))) 4) (+ (* 2 (cosh x)) 2)) (- (* (* 2 (cosh x)) (* 2 (cosh x))) 4) (+ (* 1/360 (* x x)) 1/12) (+ (* 2 (cosh x)) 2))

Time

Variable

Point

Expression

9.0ms

inf

((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (pow x 3) (+ (- (exp x) 2) (exp (neg x))) (* x x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (* (* 2 (cosh x)) (* 2 (cosh x))) (/ (- (* (* 2 (cosh x)) (* 2 (cosh x))) 4) (+ (* 2 (cosh x)) 2)) (- (* (* 2 (cosh x)) (* 2 (cosh x))) 4) (+ (* 1/360 (* x x)) 1/12) (+ (* 2 (cosh x)) 2))

5.0ms

-inf

((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (pow x 3) (+ (- (exp x) 2) (exp (neg x))) (* x x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (* (* 2 (cosh x)) (* 2 (cosh x))) (/ (- (* (* 2 (cosh x)) (* 2 (cosh x))) 4) (+ (* 2 (cosh x)) 2)) (- (* (* 2 (cosh x)) (* 2 (cosh x))) 4) (+ (* 1/360 (* x x)) 1/12) (+ (* 2 (cosh x)) 2))

3.0ms

((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (pow x 3) (+ (- (exp x) 2) (exp (neg x))) (* x x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (* (* 2 (cosh x)) (* 2 (cosh x))) (/ (- (* (* 2 (cosh x)) (* 2 (cosh x))) 4) (+ (* 2 (cosh x)) 2)) (- (* (* 2 (cosh x)) (* 2 (cosh x))) 4) (+ (* 1/360 (* x x)) 1/12) (+ (* 2 (cosh x)) 2))

simplify154.0ms (1.5%)

Memory

26.2MiB live, 115.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	500
1	422	484
2	1434	481
3	5439	481
0	8310	440

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 49

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(pow x 3)
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(pow x 4)
4
(+ 4 (* 4 (pow x 2)))
(+ 4 (* (pow x 2) (+ 4 (* 4/3 (pow x 2)))))
(+ 4 (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2)))))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 4/3 (pow x 2))))
(* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2))))))
(* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 8/45 (* 4/315 (pow x 2))))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 4 (pow x 2))
(+ 4 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 4 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+ (exp x) (/ 1 (exp x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(pow (+ (exp x) (/ 1 (exp x))) 2)
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 2) 4) (+ 2 (+ (exp x) (/ 1 (exp x)))))
(- (pow (+ (exp x) (/ 1 (exp x))) 2) 4)
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+ 2 (+ (exp x) (/ 1 (exp x))))
(- (+ (exp x) (exp (* -1 x))) 2)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.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)) (pow.f64 x #s(literal 3 binary64)) x) x)
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 4 (pow x 2)))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 4 binary64))
(+ 4 (* (pow x 2) (+ 4 (* 4/3 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal 4 binary64)) (.f64 x x) #s(literal 4 binary64))
(+ 4 (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 4 binary64)) (*.f64 x x) #s(literal 4 binary64))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* (pow x 2) (+ 4 (* 4/3 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x) x)
(* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 4 binary64)) x) x)
(* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 8/45 (* 4/315 (pow x 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/315 binary64) (.f64 x x) #s(literal 8/45 binary64)) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x) x)
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(+ 4 (pow x 2))
(fma.f64 x x #s(literal 4 binary64))
(+ 4 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 4 binary64)))
(+ 4 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 4 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(* 1/360 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/12 binary64) (.f64 x x)) #s(literal 1/360 binary64))) (pow.f64 x #s(literal 6 binary64)))
(* 1/360 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/360 binary64)))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/12 binary64) (.f64 x x)) #s(literal 1/360 binary64))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(pow (+ (exp x) (/ 1 (exp x))) 2)
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 2) 4) (+ 2 (+ (exp x) (/ 1 (exp x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))))
(- (pow (+ (exp x) (/ 1 (exp x))) 2) 4)
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(+ 2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x x)) #s(literal 1/360 binary64)))

rewrite277.0ms (2.8%)

Memory

-16.6MiB live, 271.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	152
0	45	135
1	199	129
2	1629	129
0	8789	129

Stop Event

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

Counts

17 → 778

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(cosh.f64 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)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)))
(-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)) (.f64 (.f64 x x) (.f64 (neg.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (neg.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) x)) (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)))) (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)))
(/.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))
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(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))) (-.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 x) #s(literal 4 binary64)))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) #s(literal 4 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 (-.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)))) (sqrt.f64 (neg.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x))) (sqrt.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64))) (sqrt.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64))) (sqrt.f64 (cosh.f64 x)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))
(fma.f64 (hypot.f64 (cosh.f64 x) (cosh.f64 x)) (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (hypot.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (+.f64 (cosh.f64 x) #s(literal 2 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 (cosh.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64))))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 (cosh.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64))) (+.f64 (cosh.f64 x) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cosh.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cosh.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 x)) x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 x)) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 (neg.f64 x))) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 (neg.f64 x))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 (neg.f64 x))) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x (neg.f64 (neg.f64 x))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (cosh.f64 x) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 4 binary64)) (.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 4 binary64)) (-.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 16 binary64) (.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 4 binary64)) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64)) (.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))) (-.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 64 binary64) (.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 4 binary64))) (-.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 16 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 4 binary64))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64)))) (-.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64)))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (cosh.f64 x) #s(literal 4 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 4 binary64))))))
(+.f64 (+.f64 #s(literal 2 binary64) (cosh.f64 x)) (cosh.f64 x))
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (.f64 (cosh.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (.f64 (cosh.f64 x) #s(literal 4 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) #s(literal 4 binary64))))))
(+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (cosh.f64 x) (+.f64 (cosh.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))

eval122.0ms (1.2%)

Memory: 7.7MiB live, 189.6MiB allocated
Compiler: Compiled 31 233 to 3 630 computations (88.4% saved)

prune20.0ms (0.2%)

Memory

7.3MiB live, 54.4MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 009	7	1 016
Fresh	1	0	1
Picked	3	2	5
Done	0	1	1
Total	1 013	10	1 023

Accuracy

100.0%

Counts

1 023 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.4%	(/.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)))
	56.5%	(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
✓	56.5%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
▶	55.8%	(-.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
▶	55.5%	(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
▶	54.1%	(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
✓	56.5%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
▶	99.4%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)) x x) x))
✓	98.4%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 276 to 185 computations (33% saved)

simplify97.0ms (1%)

Memory

5.5MiB live, 95.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(-.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
cost-diff	4	(.f64 (.f64 x x) (*.f64 x x))
cost-diff	0	(fma.f64 x x #s(literal 2 binary64))
cost-diff	0	#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64)))
cost-diff	0	(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
cost-diff	0	#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x))
cost-diff	0	(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)) x x) x)
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)) x x) x))
cost-diff	2	(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	233
0	52	233
1	110	224
2	360	218
3	1543	214
4	5108	214
0	8074	211

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)) x x) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)) x x) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/12 binary64)
(-.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 2 binary64)
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)

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

localize336.0ms (3.4%)

Memory

36.9MiB live, 358.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy	0.4098549933709694	#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
accuracy	27.86062690221697	(-.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
accuracy	0.14519501953688402	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.5279194138232581	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
accuracy	0.0	(fma.f64 x x #s(literal 2 binary64))
accuracy	0.5995851394955949	#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64)))
accuracy	27.86062690221697	(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
accuracy	1.0906453524887918	#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
accuracy	27.86062690221697	(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy	0.01171875	(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)) x x) x)
accuracy	0.015625	(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
accuracy	0.19140625	(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x))
accuracy	0.35529304308675647	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)) x x) x))

Samples

268.0ms	186×	2	valid
35.0ms	65×	1	valid
1.0ms	5×	0	valid

Compiler

Compiled 167 to 32 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 267.0ms

ival-exp: 73.0ms (27.3% of total)

ival-mult: 60.0ms (22.4% of total)

adjust: 56.0ms (20.9% of total)

ival-cosh: 29.0ms (10.8% of total)

ival-sub: 17.0ms (6.4% of total)

ival-add: 16.0ms (6% of total)

const: 13.0ms (4.9% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

-29.5MiB live, 14.8MiB allocated

Counts

18 → 42

Calls

Call 1

Inputs
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)) x x) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)) x x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x))
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(.f64 (.f64 x x) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
(*.f64 x x)
(-.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))

Outputs
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(pow x 4)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+ (exp x) (/ 1 (exp x)))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(- (+ (exp x) (exp (* -1 x))) 2)

Calls

3 calls:

Time

Variable

Point

Expression

11.0ms

-inf

((+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) x) (* (+ (* (* x x) 1/360) 1/12) (* x x)) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (+ (* x x) 2) (* (* x x) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (* x x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* (* x x) 1/360) 1/12))

2.0ms

inf

((+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) x) (* (+ (* (* x x) 1/360) 1/12) (* x x)) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (+ (* x x) 2) (* (* x x) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (* x x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* (* x x) 1/360) 1/12))

1.0ms

((+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) x) (* (+ (* (* x x) 1/360) 1/12) (* x x)) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (+ (* x x) 2) (* (* x x) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (* x x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* (* x x) 1/360) 1/12))

simplify127.0ms (1.3%)

Memory

41.8MiB live, 230.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	389
1	357	389
2	1158	370
3	4998	370
0	8143	344

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 41

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(pow x 4)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+ (exp x) (/ 1 (exp x)))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(- (+ (exp x) (exp (* -1 x))) 2)

Outputs
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 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)) x) x)
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* 1/360 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/360 binary64)) (/.f64 #s(literal -1/12 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(* 1/360 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/360 binary64)))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/360 binary64)) (/.f64 #s(literal -1/12 binary64) (.f64 x x))))
(* 1/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/360 binary64))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/12 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/360 binary64))))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))

rewrite157.0ms (1.6%)

Memory

-17.8MiB live, 178.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	208
0	52	202
1	240	189
2	1900	189
0	8495	186

Stop Event

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

Counts

18 → 310

Calls

Call 1

Inputs
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)) x x) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)) x x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x))
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(.f64 (.f64 x x) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
(*.f64 x x)
(-.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))

Outputs
(.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)
(.f64 x (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64))) x)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64))) x) (.f64 x x))) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64))) x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64))) x)))
(/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64))) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64))) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) (*.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x) x x)
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(fma.f64 x (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x) x)
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x)))
(-.f64 x (.f64 (neg.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)) x))
(-.f64 x (.f64 (neg.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (.f64 (neg.f64 x) (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64))) x)
(+.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 x x)))
(.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)) (.f64 x x))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x)
(.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) x))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (sqrt.f64 (.f64 (neg.f64 x) x)) (sqrt.f64 (.f64 (neg.f64 x) x)) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (neg.f64 x)) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64))) x (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) (.f64 x x) (*.f64 x x))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 x x))
(fma.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64))) (*.f64 x x))
(fma.f64 x x (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (fma.f64 #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 x x) (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))))
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))
(.f64 x (.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64))) (-.f64 (.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))))
(fma.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) (.f64 x x) (.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/12 binary64)) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1/12 binary64) (.f64 x x) (.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) (*.f64 x x)))
(fma.f64 #s(literal 1/12 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 #s(literal 1/360 binary64) (*.f64 x x))))
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(/.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal 1 binary64))) (.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) x))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) x)) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64)) #s(literal 1/144 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64)) (-.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))) (.f64 (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))) #s(literal 1/1728 binary64))) (.f64 (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64)) (-.f64 (.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))
(/.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))
(/.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/360 binary64) (neg.f64 x))) x #s(literal 1/12 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/360 binary64) x)) x #s(literal 1/12 binary64))
(fma.f64 (*.f64 #s(literal 1/360 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/360 binary64) x)) #s(literal 1/12 binary64))
(fma.f64 x (*.f64 #s(literal 1/360 binary64) x) #s(literal 1/12 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (-.f64 (.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))))
(-.f64 #s(literal 1/12 binary64) (.f64 #s(literal -1/360 binary64) (.f64 x x)))
(-.f64 #s(literal 1/12 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/360 binary64)))
(-.f64 #s(literal 1/12 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 1/360 binary64) x)))
(+.f64 (/.f64 (.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 #s(literal 1/1728 binary64) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(+.f64 (.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (.f64 #s(literal 1/360 binary64) (.f64 x x)))

eval73.0ms (0.7%)

Memory: 7.2MiB live, 105.7MiB allocated
Compiler: Compiled 14 095 to 1 982 computations (85.9% saved)

prune11.0ms (0.1%)

Memory

-17.5MiB live, 28.2MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	506	1	507
Fresh	0	2	2
Picked	0	5	5
Done	0	3	3
Total	506	11	517

Accuracy

100.0%

Counts

517 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.4%	(/.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)))
▶	56.5%	(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
✓	56.5%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓	55.8%	(-.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
✓	55.5%	(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
✓	54.1%	(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
✓	56.5%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
✓	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
✓	99.4%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)) x x) x))
▶	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
✓	98.4%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 178 to 122 computations (31.5% saved)

simplify617.0ms (6.2%)

Memory

2.6MiB live, 282.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (cosh.f64 x) #s(literal 2 binary64))
cost-diff	0	(pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
cost-diff	0	(/.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)))
cost-diff	0	(-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64)) #s(literal 64 binary64))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
cost-diff	1	(.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
cost-diff	2	(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
cost-diff	2	(fma.f64 (.f64 #s(approx (+ ( (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	247
0	61	247
1	120	247
2	385	244
3	1880	240
0	8490	226

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
(.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(fma.f64 (.f64 #s(approx (+ ( (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
(.f64 #s(approx (+ ( (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(*.f64 x x)
x
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64)) #s(literal 64 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64))
(*.f64 #s(literal -2 binary64) (cosh.f64 x))
#s(literal -2 binary64)
(cosh.f64 x)
x
#s(literal 6 binary64)
#s(literal 64 binary64)
(.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64)))
(pow.f64 (cosh.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 16 binary64)
(+.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))
(pow.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (cosh.f64 x) #s(literal 4 binary64))
#s(literal 2 binary64)
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))
(/.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 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(cosh.f64 x)
x
#s(literal 2 binary64)
#s(literal 4 binary64)
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (.f64 #s(approx (+ ( (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) x)
(.f64 #s(approx (+ ( (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x))
(.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) x) x)
#s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(*.f64 x x)
x
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal -2 binary64)) #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (fma.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (pow.f64 (cosh.f64 x) #s(literal 4 binary64))) #s(literal 32 binary64) #s(literal 32 binary64))))
(-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64)) #s(literal 64 binary64))
(-.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) #s(literal 6 binary64)) #s(literal 64 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64))
(pow.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) #s(literal 6 binary64))
(*.f64 #s(literal -2 binary64) (cosh.f64 x))
(*.f64 (cosh.f64 x) #s(literal -2 binary64))
#s(literal -2 binary64)
(cosh.f64 x)
x
#s(literal 6 binary64)
#s(literal 64 binary64)
(.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (fma.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (pow.f64 (cosh.f64 x) #s(literal 4 binary64))) #s(literal 32 binary64) #s(literal 32 binary64)))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64)))
(fma.f64 #s(literal 16 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (pow.f64 (cosh.f64 x) #s(literal 4 binary64))) #s(literal 16 binary64))
(pow.f64 (cosh.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 16 binary64)
(+.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))
(+.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 16 binary64))
(pow.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 (cosh.f64 x) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (cosh.f64 x))
#s(literal 2 binary64)
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))
(/.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 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(cosh.f64 x)
x
#s(literal 2 binary64)
#s(literal 4 binary64)
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))

localize501.0ms (5%)

Memory

-20.7MiB live, 561.6MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))
accuracy	0.01953125	(pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy	0.0234375	(/.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)))
accuracy	27.92335769421868	(-.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
accuracy	0.028007519536884032	(pow.f64 (cosh.f64 x) #s(literal 4 binary64))
accuracy	0.037441259768442016	(pow.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64))
accuracy	0.14453125	(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
accuracy	28.102646007557173	(-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64)) #s(literal 64 binary64))
accuracy	0.01171875	(.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
accuracy	0.19140625	(.f64 #s(approx (+ ( (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x))
accuracy	0.35529304308675647	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
accuracy	0.9678977030760186	#s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64))

Samples

322.0ms	185×	2	valid
100.0ms	67×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 232 to 40 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 382.0ms

adjust: 94.0ms (24.6% of total)

ival-exp: 75.0ms (19.6% of total)

ival-neg: 45.0ms (11.8% of total)

ival-mult: 36.0ms (9.4% of total)

ival-cosh: 34.0ms (8.9% of total)

ival-pow: 28.0ms (7.3% of total)

ival-pow2: 18.0ms (4.7% of total)

ival-add: 17.0ms (4.5% of total)

ival-div: 12.0ms (3.1% of total)

ival-sub: 10.0ms (2.6% of total)

const: 10.0ms (2.6% of total)

exact: 1.0ms (0.3% of total)

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

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

series16.0ms (0.2%)

Memory

23.0MiB live, 23.0MiB allocated

Counts

16 → 70

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(approx (+ ( (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
(.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(.f64 #s(approx (+ ( (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64)))
(.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64)) #s(literal 64 binary64))
(/.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 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64))
(pow.f64 (cosh.f64 x) #s(literal 4 binary64))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))

Outputs
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
48
(+ 48 (* 48 (pow x 2)))
(+ 48 (* (pow x 2) (+ 48 (* 32 (pow x 2)))))
(+ 48 (* (pow x 2) (+ 48 (* (pow x 2) (+ 32 (* 64/5 (pow x 2)))))))
192
(+ 192 (* 240 (pow x 2)))
(+ 192 (* (pow x 2) (+ 240 (* 180 (pow x 2)))))
(+ 192 (* (pow x 2) (+ 240 (* (pow x 2) (+ 180 (* 262/3 (pow x 2)))))))
(* 192 (pow x 2))
(* (pow x 2) (+ 192 (* 256 (pow x 2))))
(* (pow x 2) (+ 192 (* (pow x 2) (+ 256 (* 3008/15 (pow x 2))))))
(* (pow x 2) (+ 192 (* (pow x 2) (+ 256 (* (pow x 2) (+ 3008/15 (* 10816/105 (pow x 2))))))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 4/3 (pow x 2))))
(* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2))))))
(* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 8/45 (* 4/315 (pow x 2))))))))
4
(+ 4 (* 4 (pow x 2)))
(+ 4 (* (pow x 2) (+ 4 (* 4/3 (pow x 2)))))
(+ 4 (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2)))))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
64
(+ 64 (* 192 (pow x 2)))
(+ 64 (* (pow x 2) (+ 192 (* 256 (pow x 2)))))
(+ 64 (* (pow x 2) (+ 192 (* (pow x 2) (+ 256 (* 3008/15 (pow x 2)))))))
1
(+ 1 (* 2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 2 (* 5/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 5/3 (* 34/45 (pow x 2)))))))
(+ 4 (pow x 2))
(+ 4 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 4 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+ 16 (+ (* 4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (pow (+ (exp x) (/ 1 (exp x))) 4)))
(* (+ 2 (+ (exp x) (/ 1 (exp x)))) (+ 16 (+ (* 4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (pow (+ (exp x) (/ 1 (exp x))) 4))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 6) 64) (* (+ 2 (+ (exp x) (/ 1 (exp x)))) (+ 16 (+ (* 4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (pow (+ (exp x) (/ 1 (exp x))) 4)))))
(- (pow (+ (exp x) (/ 1 (exp x))) 6) 64)
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 2) 4) (+ 2 (+ (exp x) (/ 1 (exp x)))))
(- (pow (+ (exp x) (/ 1 (exp x))) 2) 4)
(pow (+ (exp x) (/ 1 (exp x))) 2)
(+ (exp x) (/ 1 (exp x)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(pow (+ (exp x) (/ 1 (exp x))) 6)
(* 1/16 (pow (+ (exp x) (/ 1 (exp x))) 4))
(+ 2 (+ (exp x) (/ 1 (exp x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(- (+ (exp x) (exp (* -1 x))) 2)

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

inf

((+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) x) (* (+ (* (* x x) 1/360) 1/12) (* x x)) (+ (* (pow (cosh x) 4) 16) (+ (pow (* (cosh x) 4) 2) 16)) (* (+ (* (pow (cosh x) 4) 16) (+ (pow (* (cosh x) 4) 2) 16)) (+ (* (cosh x) 2) 2)) (/ (- (pow (* -2 (cosh x)) 6) 64) (* (+ (* (pow (cosh x) 4) 16) (+ (pow (* (cosh x) 4) 2) 16)) (+ (* (cosh x) 2) 2))) (- (pow (* -2 (cosh x)) 6) 64) (/ (- (pow (* (cosh x) 2) 2) 4) (+ (* (cosh x) 2) 2)) (- (pow (* (cosh x) 2) 2) 4) (pow (* (cosh x) 2) 2) (* (cosh x) 2) (+ (* (* x x) 1/360) 1/12) (pow (* -2 (cosh x)) 6) (pow (cosh x) 4) (+ (* (cosh x) 2) 2))

5.0ms

-inf

((+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) x) (* (+ (* (* x x) 1/360) 1/12) (* x x)) (+ (* (pow (cosh x) 4) 16) (+ (pow (* (cosh x) 4) 2) 16)) (* (+ (* (pow (cosh x) 4) 16) (+ (pow (* (cosh x) 4) 2) 16)) (+ (* (cosh x) 2) 2)) (/ (- (pow (* -2 (cosh x)) 6) 64) (* (+ (* (pow (cosh x) 4) 16) (+ (pow (* (cosh x) 4) 2) 16)) (+ (* (cosh x) 2) 2))) (- (pow (* -2 (cosh x)) 6) 64) (/ (- (pow (* (cosh x) 2) 2) 4) (+ (* (cosh x) 2) 2)) (- (pow (* (cosh x) 2) 2) 4) (pow (* (cosh x) 2) 2) (* (cosh x) 2) (+ (* (* x x) 1/360) 1/12) (pow (* -2 (cosh x)) 6) (pow (cosh x) 4) (+ (* (cosh x) 2) 2))

2.0ms

((+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) x) x) x) (* (+ (* (* x x) 1/360) 1/12) (* x x)) (+ (* (pow (cosh x) 4) 16) (+ (pow (* (cosh x) 4) 2) 16)) (* (+ (* (pow (cosh x) 4) 16) (+ (pow (* (cosh x) 4) 2) 16)) (+ (* (cosh x) 2) 2)) (/ (- (pow (* -2 (cosh x)) 6) 64) (* (+ (* (pow (cosh x) 4) 16) (+ (pow (* (cosh x) 4) 2) 16)) (+ (* (cosh x) 2) 2))) (- (pow (* -2 (cosh x)) 6) 64) (/ (- (pow (* (cosh x) 2) 2) 4) (+ (* (cosh x) 2) 2)) (- (pow (* (cosh x) 2) 2) 4) (pow (* (cosh x) 2) 2) (* (cosh x) 2) (+ (* (* x x) 1/360) 1/12) (pow (* -2 (cosh x)) 6) (pow (cosh x) 4) (+ (* (cosh x) 2) 2))

simplify178.0ms (1.8%)

Memory

-47.4MiB live, 154.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	790
1	658	790
2	2319	771
3	7369	771
0	8511	702

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 69

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
48
(+ 48 (* 48 (pow x 2)))
(+ 48 (* (pow x 2) (+ 48 (* 32 (pow x 2)))))
(+ 48 (* (pow x 2) (+ 48 (* (pow x 2) (+ 32 (* 64/5 (pow x 2)))))))
192
(+ 192 (* 240 (pow x 2)))
(+ 192 (* (pow x 2) (+ 240 (* 180 (pow x 2)))))
(+ 192 (* (pow x 2) (+ 240 (* (pow x 2) (+ 180 (* 262/3 (pow x 2)))))))
(* 192 (pow x 2))
(* (pow x 2) (+ 192 (* 256 (pow x 2))))
(* (pow x 2) (+ 192 (* (pow x 2) (+ 256 (* 3008/15 (pow x 2))))))
(* (pow x 2) (+ 192 (* (pow x 2) (+ 256 (* (pow x 2) (+ 3008/15 (* 10816/105 (pow x 2))))))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 4/3 (pow x 2))))
(* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2))))))
(* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 8/45 (* 4/315 (pow x 2))))))))
4
(+ 4 (* 4 (pow x 2)))
(+ 4 (* (pow x 2) (+ 4 (* 4/3 (pow x 2)))))
(+ 4 (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2)))))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
64
(+ 64 (* 192 (pow x 2)))
(+ 64 (* (pow x 2) (+ 192 (* 256 (pow x 2)))))
(+ 64 (* (pow x 2) (+ 192 (* (pow x 2) (+ 256 (* 3008/15 (pow x 2)))))))
1
(+ 1 (* 2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 2 (* 5/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 5/3 (* 34/45 (pow x 2)))))))
(+ 4 (pow x 2))
(+ 4 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 4 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+ 16 (+ (* 4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (pow (+ (exp x) (/ 1 (exp x))) 4)))
(* (+ 2 (+ (exp x) (/ 1 (exp x)))) (+ 16 (+ (* 4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (pow (+ (exp x) (/ 1 (exp x))) 4))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 6) 64) (* (+ 2 (+ (exp x) (/ 1 (exp x)))) (+ 16 (+ (* 4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (pow (+ (exp x) (/ 1 (exp x))) 4)))))
(- (pow (+ (exp x) (/ 1 (exp x))) 6) 64)
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 2) 4) (+ 2 (+ (exp x) (/ 1 (exp x)))))
(- (pow (+ (exp x) (/ 1 (exp x))) 2) 4)
(pow (+ (exp x) (/ 1 (exp x))) 2)
(+ (exp x) (/ 1 (exp x)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(pow (+ (exp x) (/ 1 (exp x))) 6)
(* 1/16 (pow (+ (exp x) (/ 1 (exp x))) 4))
(+ 2 (+ (exp x) (/ 1 (exp x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(- (+ (exp x) (exp (* -1 x))) 2)

Outputs
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(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)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (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) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 4 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)) (*.f64 x x))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)
48
#s(literal 48 binary64)
(+ 48 (* 48 (pow x 2)))
(fma.f64 #s(literal 48 binary64) (*.f64 x x) #s(literal 48 binary64))
(+ 48 (* (pow x 2) (+ 48 (* 32 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 32 binary64) (.f64 x x) #s(literal 48 binary64)) (.f64 x x) #s(literal 48 binary64))
(+ 48 (* (pow x 2) (+ 48 (* (pow x 2) (+ 32 (* 64/5 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 64/5 binary64) (.f64 x x) #s(literal 32 binary64)) (.f64 x x) #s(literal 48 binary64)) (*.f64 x x) #s(literal 48 binary64))
192
#s(literal 192 binary64)
(+ 192 (* 240 (pow x 2)))
(fma.f64 #s(literal 240 binary64) (*.f64 x x) #s(literal 192 binary64))
(+ 192 (* (pow x 2) (+ 240 (* 180 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 180 binary64) (.f64 x x) #s(literal 240 binary64)) (.f64 x x) #s(literal 192 binary64))
(+ 192 (* (pow x 2) (+ 240 (* (pow x 2) (+ 180 (* 262/3 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 262/3 binary64) (.f64 x x) #s(literal 180 binary64)) (.f64 x x) #s(literal 240 binary64)) (*.f64 x x) #s(literal 192 binary64))
(* 192 (pow x 2))
(.f64 #s(literal 192 binary64) (.f64 x x))
(* (pow x 2) (+ 192 (* 256 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 256 binary64) (*.f64 x x) #s(literal 192 binary64)) x) x)
(* (pow x 2) (+ 192 (* (pow x 2) (+ 256 (* 3008/15 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 3008/15 binary64) (.f64 x x) #s(literal 256 binary64)) (.f64 x x) #s(literal 192 binary64)) x) x)
(* (pow x 2) (+ 192 (* (pow x 2) (+ 256 (* (pow x 2) (+ 3008/15 (* 10816/105 (pow x 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 10816/105 binary64) (.f64 x x) #s(literal 3008/15 binary64)) (.f64 x x) #s(literal 256 binary64)) (*.f64 x x) #s(literal 192 binary64)) x) x)
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* (pow x 2) (+ 4 (* 4/3 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 4 binary64)) x) x)
(* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 4 binary64)) x) x)
(* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* (pow x 2) (+ 8/45 (* 4/315 (pow x 2))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/315 binary64) (.f64 x x) #s(literal 8/45 binary64)) (.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x) x)
4
#s(literal 4 binary64)
(+ 4 (* 4 (pow x 2)))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 4 binary64))
(+ 4 (* (pow x 2) (+ 4 (* 4/3 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal 4 binary64)) (.f64 x x) #s(literal 4 binary64))
(+ 4 (* (pow x 2) (+ 4 (* (pow x 2) (+ 4/3 (* 8/45 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (.f64 x x) #s(literal 4/3 binary64)) (.f64 x x) #s(literal 4 binary64)) (*.f64 x x) #s(literal 4 binary64))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
64
#s(literal 64 binary64)
(+ 64 (* 192 (pow x 2)))
(fma.f64 #s(literal 192 binary64) (*.f64 x x) #s(literal 64 binary64))
(+ 64 (* (pow x 2) (+ 192 (* 256 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 256 binary64) (.f64 x x) #s(literal 192 binary64)) (.f64 x x) #s(literal 64 binary64))
(+ 64 (* (pow x 2) (+ 192 (* (pow x 2) (+ 256 (* 3008/15 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 3008/15 binary64) (.f64 x x) #s(literal 256 binary64)) (.f64 x x) #s(literal 192 binary64)) (*.f64 x x) #s(literal 64 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 2 (* 5/3 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 5/3 binary64) (.f64 x x) #s(literal 2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 2 (* (pow x 2) (+ 5/3 (* 34/45 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 34/45 binary64) (.f64 x x) #s(literal 5/3 binary64)) (.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 4 (pow x 2))
(fma.f64 x x #s(literal 4 binary64))
(+ 4 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 4 binary64)))
(+ 4 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 4 binary64)))
(* 1/360 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/12 binary64) (.f64 x x)) #s(literal 1/360 binary64))) (pow.f64 x #s(literal 5 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(* 1/360 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/360 binary64)))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/12 binary64) (.f64 x x)) #s(literal 1/360 binary64))))
(* 1/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/360 binary64))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x x)) #s(literal 1/360 binary64)))
(+ 16 (+ (* 4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (pow (+ (exp x) (/ 1 (exp x))) 4)))
(+.f64 (fma.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 16 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)))
(* (+ 2 (+ (exp x) (/ 1 (exp x)))) (+ 16 (+ (* 4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (pow (+ (exp x) (/ 1 (exp x))) 4))))
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))) (+.f64 (fma.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 16 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64))))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 6) 64) (* (+ 2 (+ (exp x) (/ 1 (exp x)))) (+ 16 (+ (* 4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (pow (+ (exp x) (/ 1 (exp x))) 4)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))) (+.f64 (fma.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 16 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)))))
(- (pow (+ (exp x) (/ 1 (exp x))) 6) 64)
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 6 binary64)) #s(literal 64 binary64))
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 2) 4) (+ 2 (+ (exp x) (/ 1 (exp x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))))
(- (pow (+ (exp x) (/ 1 (exp x))) 2) 4)
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64))
(pow (+ (exp x) (/ 1 (exp x))) 2)
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(pow (+ (exp x) (/ 1 (exp x))) 6)
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 6 binary64))
(* 1/16 (pow (+ (exp x) (/ 1 (exp x))) 4))
(*.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)))
(+ 2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x x)) #s(literal 1/360 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))

rewrite245.0ms (2.5%)

Memory

51.3MiB live, 237.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	201
0	61	216
1	267	207
2	2066	163
0	8418	153

Stop Event

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

Counts

16 → 773

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(approx (+ ( (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
(.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(.f64 #s(approx (+ ( (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64)))
(.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64)) #s(literal 64 binary64))
(/.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 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
#s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64))
(pow.f64 (cosh.f64 x) #s(literal 4 binary64))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))

Outputs
(.f64 (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 1/360) 1/12) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 x (neg.f64 x))))) (neg.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64))) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 1/360) 1/12) #s(literal 1/12 binary64))) x)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64))) x) (.f64 x x))) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 1/360) 1/12) #s(literal 1/12 binary64))) x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ ( (* x x) 1/360) 1/12) #s(literal 1/12 binary64))) x)))
(/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 #s(approx (+ ( (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))) (.f64 (fma.f64 (pow.f64 #s(approx (+ ( (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 #s(approx (+ ( (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
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(/.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 (fma.f64 #s(literal 16 binary64) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 16 binary64)) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (fabs.f64 (sqrt.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)))) (fabs.f64 (sqrt.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (fabs.f64 (cosh.f64 x)) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (cosh.f64 x) #s(literal 2 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64))) (sqrt.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (cosh.f64 x) (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (fabs.f64 (cosh.f64 x)) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 x)) x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 x)) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 x) (neg.f64 (neg.f64 x))) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 (neg.f64 x))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 x) x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 (neg.f64 x))) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x (neg.f64 (neg.f64 x))) #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 x (neg.f64 x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 x x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 (cosh.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 (cosh.f64 x) #s(literal 4 binary64))) (.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 4 binary64)) (-.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 16 binary64) (.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 4 binary64)) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64)) (.f64 (fma.f64 #s(literal 16 binary64) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 16 binary64)) (-.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 64 binary64) (.f64 (fma.f64 #s(literal 16 binary64) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 16 binary64)) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 (cosh.f64 x) #s(literal 4 binary64))) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 4 binary64))) (-.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 16 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal 4 binary64))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64)) (fma.f64 #s(literal 16 binary64) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 16 binary64))) (-.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 64 binary64) (fma.f64 #s(literal 16 binary64) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 16 binary64))) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (cosh.f64 x)) #s(literal 2 binary64)))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(+.f64 (/.f64 (pow.f64 (.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (cosh.f64 x))))) (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (cosh.f64 x))))))
(+.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))

eval154.0ms (1.5%)

Memory: -46.3MiB live, 204.3MiB allocated
Compiler: Compiled 32 707 to 2 939 computations (91% saved)

prune21.0ms (0.2%)

Memory

4.6MiB live, 50.8MiB allocated

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	740	3	743
Fresh	0	0	0
Picked	1	2	3
Done	1	7	8
Total	742	12	754

Accuracy

100.0%

Counts

754 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.4%	(/.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)))
	56.5%	(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 16 binary64))))
✓	56.5%	(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓	55.8%	(-.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
✓	55.5%	(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
✓	54.1%	(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
✓	56.5%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
✓	99.4%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)) x x) x))
✓	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x))
✓	98.4%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 571 to 253 computations (55.7% saved)

regimes9.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
(-.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)) x x) x))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
#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))) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.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 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 16 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 6 binary64)) #s(literal 64 binary64)) (.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (-.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 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (*.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.4%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.4%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes5.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(approx (+ ( (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* x x) 1/360) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)))
(-.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))

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

Calls

2 calls:

3.0ms	x
2.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.2%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.2%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes6.0ms (0.1%)

Memory

-34.5MiB live, 9.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
1.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.2%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
99.2%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))

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

(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes2.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
54.1%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
54.1%	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify50.0ms (0.5%)

Memory

11.8MiB live, 56.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	98
1	57	98
2	136	98
3	439	98
4	2073	90
5	7529	90

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations896.0ms (9%)

Memory

-3.5MiB live, 667.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	500
1	422	484
2	1434	481
3	5439	481
0	8310	440
0	28	152
0	45	135
1	199	129
2	1629	129
0	8789	129
0	39	201
0	61	216
1	267	207
2	2066	163
0	8418	153
0	7	17
0	12	17
1	52	17
2	423	15
3	7689	15
0	8101	15
0	95	389
1	357	389
2	1158	370
3	4998	370
0	8143	344
0	60	160
1	208	159
2	664	153
3	2594	153
4	7057	153
0	8435	136

Stop Event

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

Compiler

Compiled 98 to 34 computations (65.3% saved)

preprocess54.0ms (0.5%)

Memory: 10.7MiB live, 55.8MiB allocated
Remove: (abs x)
Compiler: Compiled 282 to 126 computations (55.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample4.2s (42.1%)

explain348.0ms (3.5%)

preprocess155.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify140.0ms (1.4%)

localize105.0ms (1.1%)

series1.0ms (0%)

simplify188.0ms (1.9%)

rewrite225.0ms (2.3%)

eval33.0ms (0.3%)

prune11.0ms (0.1%)

simplify111.0ms (1.1%)

localize289.0ms (2.9%)

series18.0ms (0.2%)

simplify154.0ms (1.5%)

rewrite277.0ms (2.8%)

eval122.0ms (1.2%)

prune20.0ms (0.2%)

simplify97.0ms (1%)

localize336.0ms (3.4%)

series16.0ms (0.2%)

simplify127.0ms (1.3%)

rewrite157.0ms (1.6%)

eval73.0ms (0.7%)

prune11.0ms (0.1%)

simplify617.0ms (6.2%)

localize501.0ms (5%)

series16.0ms (0.2%)

simplify178.0ms (1.8%)

rewrite245.0ms (2.5%)

eval154.0ms (1.5%)

prune21.0ms (0.2%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify50.0ms (0.5%)

derivations896.0ms (9%)

preprocess54.0ms (0.5%)

end0.0ms (0%)

Profiling