Metrics for exp2 (problem 3.3.7)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample4.0s (34.6%)

Memory

39.2MiB live, 3 442.3MiB allocated

Samples

2.8s	5 683×	2	valid
649.0ms	2 373×	1	valid
18.0ms	200×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.1s

ival-exp: 2.3s (74.1% of total)

adjust: 373.0ms (12.2% of total)

ival-add: 148.0ms (4.8% of total)

ival-sub: 141.0ms (4.6% of total)

ival-fabs: 54.0ms (1.8% of total)

ival-neg: 39.0ms (1.3% of total)

ival-<=: 26.0ms (0.8% of total)

exact: 10.0ms (0.3% of total)

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

Bogosity

explain926.0ms (7.9%)

Memory

8.4MiB live, 279.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
124	130	(-1.008718239900225e-220)	1	(-0.238924397928892)	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
0	0	-	0	-	`(-.f64 (exp.f64 x) #s(literal 2 binary64))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(exp.f64 x)`
0	0	-	0	-	`(exp.f64 (neg.f64 x))`
0	0	-	0	-	`(neg.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`	cancellation	253	0

Confusion

	Predicted +	Predicted -
+	123	1
-	130	2

Precision

0.48616600790513836

Recall

0.9919354838709677

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	123	0	1
-	130	0	2

Precision?

0.48616600790513836

Recall?

0.9919354838709677

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

366.0ms	348×	2	valid
112.0ms	150×	1	valid
1.0ms	14×	0	valid

Compiler

Compiled 117 to 52 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 440.0ms

ival-sub: 195.0ms (44.3% of total)

adjust: 135.0ms (30.7% of total)

ival-exp: 98.0ms (22.3% of total)

ival-add: 8.0ms (1.8% of total)

ival-neg: 2.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess35.0ms (0.3%)

Memory

2.0MiB live, 43.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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

Symmetry

(abs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.0%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify16.0ms (0.1%)

Memory

-20.8MiB live, 16.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	273	21
7	329	21
8	382	21
9	384	21
0	384	21

Stop Event

1×	iter limit
1×	saturated
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 (exp.f64 (neg.f64 x)) (exp.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)

localize135.0ms (1.2%)

Memory

-17.0MiB live, 123.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (neg.f64 x))
accuracy	0	(exp.f64 x)
accuracy	0.0390625	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	27.462404951646974	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Samples

114.0ms	174×	2	valid
11.0ms	75×	1	valid
0.0ms	7×	0	valid

Compiler

Compiled 44 to 16 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-exp: 94.0ms (83.4% of total)

adjust: 7.0ms (6.2% of total)

ival-sub: 4.0ms (3.5% of total)

ival-add: 3.0ms (2.7% of total)

ival-neg: 3.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())

Outputs
#s(alt (pow x 2) (taylor 0 x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) 1) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* 1/2 x) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (neg x))) 2) (taylor inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (neg x))) 2) (taylor inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (neg x))) 2) (taylor inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (neg x))) 2) (taylor inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())

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)))

simplify173.0ms (1.5%)

Memory

2.1MiB live, 232.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	269
1	168	268
2	397	262
3	1060	262
4	1759	262
5	3027	262
6	3849	262
7	5284	262
8	6683	262
0	8227	241

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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

rewrite131.0ms (1.1%)

Memory

36.2MiB live, 228.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	12	17
1	51	17
2	394	17
3	6866	15
0	8047	14

Stop Event

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

Counts

4 → 245

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
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eval47.0ms (0.4%)

Memory: -19.8MiB live, 140.2MiB allocated
Compiler: Compiled 6 709 to 794 computations (88.2% saved)

prune36.0ms (0.3%)

Memory

-16.8MiB live, 74.8MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	285	8	293
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	286	8	294

Accuracy

100.0%

Counts

294 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.0%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
▶	57.1%	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))) (+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
	57.1%	(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
	57.1%	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	99.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))))
▶	99.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
▶	98.8%	#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)))
▶	98.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 296 to 142 computations (52% saved)

simplify209.0ms (1.8%)

Memory

8.9MiB live, 160.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
cost-diff	13568	(.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
cost-diff	13760	(.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
cost-diff	56000	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))) (+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
cost-diff	0	(pow.f64 x #s(literal 6 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (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 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x 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	(*.f64 x x)
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
cost-diff	0	(pow.f64 x #s(literal 6 binary64))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	439
0	63	439
1	117	439
2	231	403
3	534	365
4	1376	363
5	5690	363
0	8556	348

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
#s(literal 1/360 binary64)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/12 binary64)
(*.f64 x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/360 binary64)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/12 binary64)
(*.f64 x x)
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))) (+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(-.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (fma.f64 (sinh.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 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (.f64 (fma.f64 (sinh.f64 x) #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (fma.f64 (sinh.f64 x) #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))))
(.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
(pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))
(fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 #s(literal 2 binary64) (sinh.f64 x))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(sinh.f64 x)
(.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(/.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) (*.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (sinh.f64 x) #s(literal -2 binary64) #s(literal 2 binary64))))

localize484.0ms (4.1%)

Memory

13.0MiB live, 326.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))) (+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
accuracy	0.0390625	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	0.06906132814753614	(pow.f64 (exp.f64 x) #s(literal -2 binary64))
accuracy	27.393972442903955	(-.f64 (.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
accuracy	0.01171875	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy	0.5802237866592612	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))))
accuracy	0	(pow.f64 x #s(literal 4 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy	0.769210748001036	#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	(*.f64 x x)
accuracy	1.1775657411718814	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
accuracy	0.01171875	(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))
accuracy	0.01171875	(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy	0.015625	(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
accuracy	0.46581606179482676	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))))

Samples

365.0ms	173×	2	valid
75.0ms	76×	1	valid
2.0ms	7×	0	valid

Compiler

Compiled 811 to 71 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 316.0ms

adjust: 92.0ms (29.1% of total)

ival-exp: 78.0ms (24.7% of total)

ival-pow: 54.0ms (17.1% of total)

ival-mult: 24.0ms (7.6% of total)

ival-add: 18.0ms (5.7% of total)

ival-div: 14.0ms (4.4% of total)

const: 13.0ms (4.1% of total)

ival-sinh: 8.0ms (2.5% of total)

ival-sub: 7.0ms (2.2% of total)

ival-pow2: 7.0ms (2.2% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series39.0ms (0.3%)

Memory

-6.8MiB live, 68.7MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 6 binary64)) (patch (pow.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (patch (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x x)) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x x)) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) (patch (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))) (patch (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))) (+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))) (patch (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))) (+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) (patch (.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) (patch (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (patch (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))) (patch (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))) #<representation binary64>) () ())
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#s(alt (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (patch (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 6) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 6 binary64)) (patch (pow.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 6) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 6 binary64)) (patch (pow.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 6) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 6 binary64)) (patch (pow.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 6) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 6 binary64)) (patch (pow.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/360 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (patch (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/360 (* 1/20160 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (patch (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/360 (* 1/20160 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (patch (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/360 (* 1/20160 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (patch (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x x)) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x x)) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x x)) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x x)) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) (patch (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) (patch (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) (patch (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) (patch (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))) (patch (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))) (patch (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))) (patch (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))) (patch (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))) (patch (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))) (patch (-.f64 (.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))) (patch (-.f64 (.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))) (patch (-.f64 (.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (taylor -inf x) (#s(alt (-.f64 (.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))) (patch (-.f64 (.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) (.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (pow (exp x) 2)) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (patch (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow (exp x) 2)) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (patch (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp x) 2) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	((+ (- (exp x) 2) (exp (neg x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) 1/360) (+ (* (pow x 4) 1/12) (* x x))) (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x))))) (+ -2 (* 2 (sinh x))) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* (pow x 4) 1/12) (* x x))) (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (pow (exp x) -2) (- (exp x) 2))
11.0ms	x	@	-inf	((+ (- (exp x) 2) (exp (neg x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) 1/360) (+ (* (pow x 4) 1/12) (* x x))) (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x))))) (+ -2 (* 2 (sinh x))) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* (pow x 4) 1/12) (* x x))) (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (pow (exp x) -2) (- (exp x) 2))
4.0ms	x	@	0	((+ (- (exp x) 2) (exp (neg x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 6) 1/360) (+ (* (pow x 4) 1/12) (* x x))) (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x))))) (+ -2 (* 2 (sinh x))) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* (pow x 4) 1/12) (* x x))) (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (pow (exp x) -2) (- (exp x) 2))

Time

Variable

Point

Expression

12.0ms

inf

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

11.0ms

-inf

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

4.0ms

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

simplify206.0ms (1.8%)

Memory

7.7MiB live, 283.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	2551
1	434	2551
2	1005	2467
3	2824	2451
4	4371	2451
0	8506	2340

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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))))))))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(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))))))))
(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))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(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))))))))
(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 (* 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))))))))
1/4
(+ 1/4 (* -1/2 x))
(+ 1/4 (* x (- (* -1/4 x) 1/2)))
(+ 1/4 (* x (- (* x (- (* 5/12 x) 1/4)) 1/2)))
1/4
(+ 1/4 (* -1/2 x))
(+ 1/4 (* x (- (* 3/4 x) 1/2)))
(+ 1/4 (* x (- (* x (+ 3/4 (* -7/12 x))) 1/2)))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* 1/3 (pow x 2)))) 2)
(- (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) 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 (pow x 2))
(* (pow x 2) (- x 1))
(* (pow x 2) (- (* x (+ 1 (* -1/12 x))) 1))
(* (pow x 2) (- (* x (+ 1 (* x (- (* 1/4 x) 1/12)))) 1))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg 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)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))
(/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))
(/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))
(/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))
(/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))
(/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))
(/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))
(/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))))
(- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))))
(- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))))
(- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))))
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp x) 2))
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 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)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))
(/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))
(/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))
(/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))
(/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))
(/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))
(/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))
(/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))))
(- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))))
(- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))))
(- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))))
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp x) 2))
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)

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 (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)
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
1/360
#s(literal 1/360 binary64)
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x 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 #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)
(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 (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)
(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 (* 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 (* 1/12 (pow x 2))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(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 (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)
(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 (* 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)
(*.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 (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)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/4 binary64))
(+ 1/4 (* x (- (* -1/4 x) 1/2)))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))
(+ 1/4 (* x (- (* x (- (* 5/12 x) 1/4)) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/12 binary64) x #s(literal -1/4 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/4 binary64))
(+ 1/4 (* x (- (* 3/4 x) 1/2)))
(fma.f64 (fma.f64 #s(literal 3/4 binary64) x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))
(+ 1/4 (* x (- (* x (+ 3/4 (* -7/12 x))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -7/12 binary64) x #s(literal 3/4 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
(- (* x (+ 2 (* 1/3 (pow x 2)))) 2)
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x #s(literal -2 binary64))
(- (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x #s(literal -2 binary64))
(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 (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 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- x 1))
(.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(* (pow x 2) (- (* x (+ 1 (* -1/12 x))) 1))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (* x (+ 1 (* x (- (* 1/4 x) 1/12)))) 1))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/12 binary64)) x #s(literal 1 binary64)) x #s(literal -1 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal -1 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* 1/20160 (pow x 2))
(.f64 #s(literal 1/20160 binary64) (.f64 x x))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
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(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x) #s(literal -1 binary64)))))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x) #s(literal -1 binary64)))))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x) #s(literal -1 binary64)))))
(/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(- (exp x) (+ 2 (/ 1 (exp x))))
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(- (exp x) (+ 2 (/ 1 (exp x))))
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(- (exp x) (+ 2 (/ 1 (exp x))))
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(- (exp x) (+ 2 (/ 1 (exp x))))
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(* 1/20160 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/20160 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/20160 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/360 binary64) (.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))))
(-.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))))
(- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))))
(-.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))))
(- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))))
(-.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))))
(- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))))
(-.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))))
(/ 1 (pow (exp x) 2))
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(/ 1 (pow (exp x) 2))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(/ 1 (pow (exp x) 2))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(/ 1 (pow (exp x) 2))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))

rewrite194.0ms (1.7%)

Memory

8.3MiB live, 282.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	324
0	63	258
1	279	212
2	2513	212
0	9304	207

Stop Event

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

Counts

18 → 591

Calls

Call 1

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

Outputs
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eval221.0ms (1.9%)

Memory: 34.4MiB live, 343.7MiB allocated
Compiler: Compiled 74 757 to 3 535 computations (95.3% saved)

prune33.0ms (0.3%)

Memory

5.6MiB live, 83.3MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	1 354	6	1 360
Fresh	0	3	3
Picked	4	1	5
Done	0	0	0
Total	1 358	10	1 368

Accuracy

100.0%

Counts

1 368 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.0%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
▶	57.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (.f64 (.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (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 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
	57.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (.f64 (.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))) (.f64 (.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
▶	57.1%	(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
	57.1%	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	99.3%	#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.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))
▶	99.1%	#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh 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))
	99.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))))
▶	98.8%	#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)))
✓	98.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 372 to 185 computations (50.3% saved)

simplify109.0ms (0.9%)

Memory

-27.5MiB live, 91.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
cost-diff	320	(*.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
cost-diff	6912	(-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (.f64 (*.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
cost-diff	27072	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (.f64 (.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (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 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
cost-diff	0	(/.f64 #s(literal -1 binary64) (exp.f64 x))
cost-diff	0	(exp.f64 x)
cost-diff	0	(-.f64 (exp.f64 x) #s(literal 2 binary64))
cost-diff	576	(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 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 (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh 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))
cost-diff	-5504	(.f64 (.f64 x x) (*.f64 x x))
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	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(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)
cost-diff	0	(.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)
cost-diff	0	#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	506
0	88	482
1	201	467
2	567	426
3	2305	356
4	6311	352
0	8415	351

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.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))
(.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)
(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)
(pow.f64 x #s(literal 3 binary64))
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))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
#s(literal 1/360 binary64)
#s(literal 1/12 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)
#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh 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)
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(/.f64 #s(literal -1 binary64) (exp.f64 x))
#s(literal -1 binary64)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (.f64 (.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (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 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
(-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (.f64 (*.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(literal 1 binary64)
(fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(sinh.f64 x)
x
#s(literal 2 binary64)
#s(literal -2 binary64)
(.f64 (.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(*.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (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 -2 binary64))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(.f64 (.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))

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

localize422.0ms (3.6%)

Memory

36.6MiB live, 426.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.033535009768442016	(.f64 (.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
accuracy	0.0390625	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	0.06906132814753614	(pow.f64 (exp.f64 x) #s(literal -2 binary64))
accuracy	27.517902003879016	(-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (.f64 (*.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
accuracy	0	(exp.f64 x)
accuracy	0.0390625	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	0.04296875	(/.f64 #s(literal -1 binary64) (exp.f64 x))
accuracy	27.462404951646974	(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
accuracy	0.0078125	(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)
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	0.01953125	(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
accuracy	0.5802237866592612	#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh 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))
accuracy	0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x))
accuracy	0.10222626953688405	(.f64 (.f64 x x) (*.f64 x x))
accuracy	0.769210748001036	#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	0.01171875	(.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)
accuracy	0.015625	(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
accuracy	0.01953125	(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))
accuracy	0.46581606179482676	#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.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))

Samples

296.0ms	173×	2	valid
68.0ms	76×	1	valid
3.0ms	7×	0	valid

Compiler

Compiled 833 to 93 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 295.0ms

adjust: 59.0ms (20% of total)

ival-exp: 57.0ms (19.3% of total)

ival-mult: 56.0ms (19% of total)

ival-pow: 29.0ms (9.8% of total)

ival-add: 25.0ms (8.5% of total)

ival-div: 24.0ms (8.1% of total)

const: 15.0ms (5.1% of total)

ival-sub: 13.0ms (4.4% of total)

ival-sinh: 8.0ms (2.7% of total)

ival-pow2: 7.0ms (2.4% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series48.0ms (0.4%)

Memory

-20.5MiB live, 53.9MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.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)) (patch #s(approx (/ (- ( (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.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)) #<representation binary64>) () ())
#s(alt (.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) (patch (.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) #<representation binary64>) () ())
#s(alt (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) (patch (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) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh 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)) (patch #s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh 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)) #<representation binary64>) () ())
#s(alt (.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) (patch (.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) #<representation binary64>) () ())
#s(alt (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) (patch (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) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (patch (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (exp.f64 x)) (patch (/.f64 #s(literal -1 binary64) (exp.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (.f64 (.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (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 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))) (patch (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (.f64 (.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (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 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (.f64 (.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (patch (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (.f64 (.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (patch (.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (patch (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (patch (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (patch (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (patch (.f64 (.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #<representation binary64>) () ())

Outputs
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#s(alt (pow x 2) (taylor 0 x) (#s(alt (.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) (patch (.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) #<representation binary64>) () ())) ())
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#s(alt x (taylor 0 x) (#s(alt (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) (patch (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) #<representation binary64>) () ())) ())
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#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)) (patch (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/12 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

15.0ms

-inf

((/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (* (+ (* (pow x 3) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) (pow x 3) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (* x x) (* (* x x) (* x x)) (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (- (- (exp x) 2) (/ -1 (exp x))) (- (exp x) 2) (exp x) (/ -1 (exp x)) (/ (- (* 1 (+ (* (sinh x) 2) -2)) (* (* (+ (* (sinh x) 2) -2) (pow (- (exp x) 2) -2)) (pow (exp x) -2))) (* (* (+ (* (sinh x) 2) -2) (pow (- (exp x) 2) -2)) (+ (* (sinh x) 2) -2))) (- (* 1 (+ (* (sinh x) 2) -2)) (* (* (+ (* (sinh x) 2) -2) (pow (- (exp x) 2) -2)) (pow (exp x) -2))) (* 1 (+ (* (sinh x) 2) -2)) (+ (* (sinh x) 2) -2) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) (+ (* 1/360 (* x x)) 1/12) (pow (exp x) -2) (* (* (+ (* (sinh x) 2) -2) (pow (- (exp x) 2) -2)) (pow (exp x) -2)))

10.0ms

inf

((/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (* (+ (* (pow x 3) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) (pow x 3) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (* x x) (* (* x x) (* x x)) (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (- (- (exp x) 2) (/ -1 (exp x))) (- (exp x) 2) (exp x) (/ -1 (exp x)) (/ (- (* 1 (+ (* (sinh x) 2) -2)) (* (* (+ (* (sinh x) 2) -2) (pow (- (exp x) 2) -2)) (pow (exp x) -2))) (* (* (+ (* (sinh x) 2) -2) (pow (- (exp x) 2) -2)) (+ (* (sinh x) 2) -2))) (- (* 1 (+ (* (sinh x) 2) -2)) (* (* (+ (* (sinh x) 2) -2) (pow (- (exp x) 2) -2)) (pow (exp x) -2))) (* 1 (+ (* (sinh x) 2) -2)) (+ (* (sinh x) 2) -2) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) (+ (* 1/360 (* x x)) 1/12) (pow (exp x) -2) (* (* (+ (* (sinh x) 2) -2) (pow (- (exp x) 2) -2)) (pow (exp x) -2)))

8.0ms

((/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (* (+ (* (pow x 3) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) (pow x 3) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (* x x) (* (* x x) (* x x)) (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (- (- (exp x) 2) (/ -1 (exp x))) (- (exp x) 2) (exp x) (/ -1 (exp x)) (/ (- (* 1 (+ (* (sinh x) 2) -2)) (* (* (+ (* (sinh x) 2) -2) (pow (- (exp x) 2) -2)) (pow (exp x) -2))) (* (* (+ (* (sinh x) 2) -2) (pow (- (exp x) 2) -2)) (+ (* (sinh x) 2) -2))) (- (* 1 (+ (* (sinh x) 2) -2)) (* (* (+ (* (sinh x) 2) -2) (pow (- (exp x) 2) -2)) (pow (exp x) -2))) (* 1 (+ (* (sinh x) 2) -2)) (+ (* (sinh x) 2) -2) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) (+ (* 1/360 (* x x)) 1/12) (pow (exp x) -2) (* (* (+ (* (sinh x) 2) -2) (pow (- (exp x) 2) -2)) (pow (exp x) -2)))

simplify144.0ms (1.2%)

Memory

13.8MiB live, 126.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	4140
1	657	4068
2	1741	4039
3	5398	3980
0	8222	3825

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 286

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))))))))
(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))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(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))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(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))))))))
(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 (* 1/360 (pow x 2))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (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
(- 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
(- x 1)
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/6 x) 1/2)))) 1)
(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))))))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 13/3 (pow x 2))))
(* (pow x 2) (+ 4 (* (pow x 2) (+ 13/3 (* 4 x)))))
(* (pow x 2) (+ 4 (* (pow x 2) (+ 13/3 (* x (+ 4 (* 691/90 x)))))))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* 1/3 (pow x 2)))) 2)
(- (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) 2)
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* 1/3 (pow x 2)))) 2)
(- (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) 2)
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* -4 x))) 2)
(- (* x (+ 2 (* x (- (* 1/3 x) 4)))) 2)
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(* 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)))))
(* (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)))))
(* (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))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(exp x)
(exp x)
(exp x)
(exp x)
(/ -1 (exp x))
(/ -1 (exp x))
(/ -1 (exp x))
(/ -1 (exp x))
(/ (* (pow (- (exp x) 2) 2) (- (+ (exp x) (+ (* 2 (/ 1 (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))) (/ 1 (* (pow (exp x) 3) (pow (- (exp x) 2) 2))))) (+ 2 (+ (/ 1 (exp x)) (/ 1 (* (exp x) (pow (- (exp x) 2) 2))))))) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))
(/ (* (pow (- (exp x) 2) 2) (- (+ (exp x) (+ (* 2 (/ 1 (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))) (/ 1 (* (pow (exp x) 3) (pow (- (exp x) 2) 2))))) (+ 2 (+ (/ 1 (exp x)) (/ 1 (* (exp x) (pow (- (exp x) 2) 2))))))) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))
(/ (* (pow (- (exp x) 2) 2) (- (+ (exp x) (+ (* 2 (/ 1 (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))) (/ 1 (* (pow (exp x) 3) (pow (- (exp x) 2) 2))))) (+ 2 (+ (/ 1 (exp x)) (/ 1 (* (exp x) (pow (- (exp x) 2) 2))))))) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))
(/ (* (pow (- (exp x) 2) 2) (- (+ (exp x) (+ (* 2 (/ 1 (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))) (/ 1 (* (pow (exp x) 3) (pow (- (exp x) 2) 2))))) (+ 2 (+ (/ 1 (exp x)) (/ 1 (* (exp x) (pow (- (exp x) 2) 2))))))) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))
(- (+ (exp x) (+ (* 2 (/ 1 (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))) (/ 1 (* (pow (exp x) 3) (pow (- (exp x) 2) 2))))) (+ 2 (+ (/ 1 (exp x)) (/ 1 (* (exp x) (pow (- (exp x) 2) 2))))))
(- (+ (exp x) (+ (* 2 (/ 1 (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))) (/ 1 (* (pow (exp x) 3) (pow (- (exp x) 2) 2))))) (+ 2 (+ (/ 1 (exp x)) (/ 1 (* (exp x) (pow (- (exp x) 2) 2))))))
(- (+ (exp x) (+ (* 2 (/ 1 (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))) (/ 1 (* (pow (exp x) 3) (pow (- (exp x) 2) 2))))) (+ 2 (+ (/ 1 (exp x)) (/ 1 (* (exp x) (pow (- (exp x) 2) 2))))))
(- (+ (exp x) (+ (* 2 (/ 1 (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))) (/ 1 (* (pow (exp x) 3) (pow (- (exp x) 2) 2))))) (+ 2 (+ (/ 1 (exp x)) (/ 1 (* (exp x) (pow (- (exp x) 2) 2))))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp x) 2))
(/ (- (exp x) (+ 2 (/ 1 (exp x)))) (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))
(/ (- (exp x) (+ 2 (/ 1 (exp x)))) (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))
(/ (- (exp x) (+ 2 (/ 1 (exp x)))) (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))
(/ (- (exp x) (+ 2 (/ 1 (exp x)))) (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(* 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)))))
(* (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)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(exp x)
(exp x)
(exp x)
(exp x)
(/ -1 (exp x))
(/ -1 (exp x))
(/ -1 (exp x))
(/ -1 (exp x))
(/ (* (pow (- (exp x) 2) 2) (- (+ (exp x) (+ (* 2 (/ 1 (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))) (/ 1 (* (pow (exp x) 3) (pow (- (exp x) 2) 2))))) (+ 2 (+ (/ 1 (exp x)) (/ 1 (* (exp x) (pow (- (exp x) 2) 2))))))) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))
(/ (* (pow (- (exp x) 2) 2) (- (+ (exp x) (+ (* 2 (/ 1 (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))) (/ 1 (* (pow (exp x) 3) (pow (- (exp x) 2) 2))))) (+ 2 (+ (/ 1 (exp x)) (/ 1 (* (exp x) (pow (- (exp x) 2) 2))))))) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))
(/ (* (pow (- (exp x) 2) 2) (- (+ (exp x) (+ (* 2 (/ 1 (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))) (/ 1 (* (pow (exp x) 3) (pow (- (exp x) 2) 2))))) (+ 2 (+ (/ 1 (exp x)) (/ 1 (* (exp x) (pow (- (exp x) 2) 2))))))) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))
(/ (* (pow (- (exp x) 2) 2) (- (+ (exp x) (+ (* 2 (/ 1 (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))) (/ 1 (* (pow (exp x) 3) (pow (- (exp x) 2) 2))))) (+ 2 (+ (/ 1 (exp x)) (/ 1 (* (exp x) (pow (- (exp x) 2) 2))))))) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))
(- (+ (exp x) (+ (* 2 (/ 1 (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))) (/ 1 (* (pow (exp x) 3) (pow (- (exp x) 2) 2))))) (+ 2 (+ (/ 1 (exp x)) (/ 1 (* (exp x) (pow (- (exp x) 2) 2))))))
(- (+ (exp x) (+ (* 2 (/ 1 (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))) (/ 1 (* (pow (exp x) 3) (pow (- (exp x) 2) 2))))) (+ 2 (+ (/ 1 (exp x)) (/ 1 (* (exp x) (pow (- (exp x) 2) 2))))))
(- (+ (exp x) (+ (* 2 (/ 1 (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))) (/ 1 (* (pow (exp x) 3) (pow (- (exp x) 2) 2))))) (+ 2 (+ (/ 1 (exp x)) (/ 1 (* (exp x) (pow (- (exp x) 2) 2))))))
(- (+ (exp x) (+ (* 2 (/ 1 (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))) (/ 1 (* (pow (exp x) 3) (pow (- (exp x) 2) 2))))) (+ 2 (+ (/ 1 (exp x)) (/ 1 (* (exp x) (pow (- (exp x) 2) 2))))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp x) 2))
(/ 1 (pow (exp x) 2))
(/ (- (exp x) (+ 2 (/ 1 (exp x)))) (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))
(/ (- (exp x) (+ 2 (/ 1 (exp x)))) (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))
(/ (- (exp x) (+ 2 (/ 1 (exp x)))) (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))
(/ (- (exp x) (+ 2 (/ 1 (exp x)))) (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))

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))))))
(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))
(* (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))
(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))))))
(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))
(* (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))
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)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(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)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(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))))))
(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))
(* (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))
(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 (* 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 (* 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)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(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))))))
(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))
(* (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))
(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))))))
(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))
(* (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)) (.f64 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)
(* 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))))))
(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))
(* (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
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal -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
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* -1/2 x))) 1)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))
(- (* x (+ 1 (* x (- (* 1/6 x) 1/2)))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x #s(literal -1 binary64))
(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))))))
(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))
(* (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))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* (pow x 2) (+ 4 (* 13/3 (pow x 2))))
(fma.f64 #s(literal 13/3 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x)))
(* (pow x 2) (+ 4 (* (pow x 2) (+ 13/3 (* 4 x)))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 13/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x) x)
(* (pow x 2) (+ 4 (* (pow x 2) (+ 13/3 (* x (+ 4 (* 691/90 x)))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 691/90 binary64) x #s(literal 4 binary64)) x #s(literal 13/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x) x)
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
(- (* x (+ 2 (* 1/3 (pow x 2)))) 2)
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x #s(literal -2 binary64))
(- (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
(- (* x (+ 2 (* 1/3 (pow x 2)))) 2)
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x #s(literal -2 binary64))
(- (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x #s(literal -2 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))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(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))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(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))
1/360
#s(literal 1/360 binary64)
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 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))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #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
#s(literal 1 binary64)
(+ 1 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 1 binary64))
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
(- (* x (+ 2 (* -4 x))) 2)
(fma.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(- (* x (+ 2 (* x (- (* 1/3 x) 4)))) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4 binary64)) x #s(literal 2 binary64)) x #s(literal -2 binary64))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))))
(/ (- (/ (pow (- (exp x) 2) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)) (/ 1 (* (pow (exp x) 4) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2)))) (+ (/ 1 (* (pow (exp x) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))) (/ (pow (- (exp x) 2) 2) (- (exp x) (+ 2 (/ 1 (exp x)))))))
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(- (+ (exp x) (/ 1 (exp x))) 2)
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(- (+ (exp x) (/ 1 (exp x))) 2)
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(- (+ (exp x) (/ 1 (exp x))) 2)
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(/ (* (pow (- (exp x) 2) 2) (- (+ (exp x) (+ (* 2 (/ 1 (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))) (/ 1 (* (pow (exp x) 3) (pow (- (exp x) 2) 2))))) (+ 2 (+ (/ 1 (exp x)) (/ 1 (* (exp x) (pow (- (exp x) 2) 2))))))) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))
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(/ (* (pow (- (exp x) 2) 2) (- (+ (exp x) (+ (* 2 (/ 1 (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))) (/ 1 (* (pow (exp x) 3) (pow (- (exp x) 2) 2))))) (+ 2 (+ (/ 1 (exp x)) (/ 1 (* (exp x) (pow (- (exp x) 2) 2))))))) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))
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(/ (* (pow (- (exp x) 2) 2) (- (+ (exp x) (+ (* 2 (/ 1 (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))) (/ 1 (* (pow (exp x) 3) (pow (- (exp x) 2) 2))))) (+ 2 (+ (/ 1 (exp x)) (/ 1 (* (exp x) (pow (- (exp x) 2) 2))))))) (pow (- (exp x) (+ 2 (/ 1 (exp x)))) 2))
(.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) (-.f64 (+.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (exp.f64 x)) (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))
(- (+ (exp x) (+ (* 2 (/ 1 (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))) (/ 1 (* (pow (exp x) 3) (pow (- (exp x) 2) 2))))) (+ 2 (+ (/ 1 (exp x)) (/ 1 (* (exp x) (pow (- (exp x) 2) 2))))))
(-.f64 (+.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (exp.f64 x)) (/.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(- (+ (exp x) (+ (* 2 (/ 1 (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))) (/ 1 (* (pow (exp x) 3) (pow (- (exp x) 2) 2))))) (+ 2 (+ (/ 1 (exp x)) (/ 1 (* (exp x) (pow (- (exp x) 2) 2))))))
(-.f64 (+.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (exp.f64 x)) (/.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(- (+ (exp x) (+ (* 2 (/ 1 (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))) (/ 1 (* (pow (exp x) 3) (pow (- (exp x) 2) 2))))) (+ 2 (+ (/ 1 (exp x)) (/ 1 (* (exp x) (pow (- (exp x) 2) 2))))))
(-.f64 (+.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (exp.f64 x)) (/.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(- (+ (exp x) (+ (* 2 (/ 1 (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))) (/ 1 (* (pow (exp x) 3) (pow (- (exp x) 2) 2))))) (+ 2 (+ (/ 1 (exp x)) (/ 1 (* (exp x) (pow (- (exp x) 2) 2))))))
(-.f64 (+.f64 (fma.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (exp.f64 x)) (/.f64 (exp.f64 (.f64 x #s(literal -3 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(- (exp x) (+ 2 (/ 1 (exp x))))
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(- (exp x) (+ 2 (/ 1 (exp x))))
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(- (exp x) (+ 2 (/ 1 (exp x))))
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(- (exp x) (+ 2 (/ 1 (exp x))))
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(- (exp x) (+ 2 (/ 1 (exp x))))
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(- (exp x) (+ 2 (/ 1 (exp x))))
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(- (exp x) (+ 2 (/ 1 (exp x))))
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(- (exp x) (+ 2 (/ 1 (exp x))))
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(* 1/20160 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/20160 binary64))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) x) x)
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(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 x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(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))
(* 1/20160 (pow x 2))
(.f64 #s(literal 1/20160 binary64) (.f64 x x))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 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))
(* (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))
(* (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 (exp x) 2))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(/ 1 (pow (exp x) 2))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(/ 1 (pow (exp x) 2))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(/ 1 (pow (exp x) 2))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(/ (- (exp x) (+ 2 (/ 1 (exp x)))) (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))
(/.f64 (-.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)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/ (- (exp x) (+ 2 (/ 1 (exp x)))) (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))
(/.f64 (-.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)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/ (- (exp x) (+ 2 (/ 1 (exp x)))) (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))
(/.f64 (-.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)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(/ (- (exp x) (+ 2 (/ 1 (exp x)))) (* (pow (exp x) 2) (pow (- (exp x) 2) 2)))
(/.f64 (-.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)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))

rewrite159.0ms (1.4%)

Memory

24.7MiB live, 177.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	435
0	88	371
1	449	278
2	4016	263
0	8339	263

Stop Event

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

Counts

24 → 616

Calls

Call 1

Inputs
#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.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))
(.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)
(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)
(pow.f64 x #s(literal 3 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 x x)
(.f64 (.f64 x x) (*.f64 x x))
#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh 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)
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
(/.f64 #s(literal -1 binary64) (exp.f64 x))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (.f64 (.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (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 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
(-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (.f64 (*.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))
(fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(pow.f64 (exp.f64 x) #s(literal -2 binary64))
(.f64 (.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))

Outputs
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eval674.0ms (5.8%)

Memory: -3.1MiB live, 421.3MiB allocated
Compiler: Compiled 46 015 to 3 308 computations (92.8% saved)

prune46.0ms (0.4%)

Memory

-17.2MiB live, 107.7MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 292	5	1 297
Fresh	2	2	4
Picked	3	2	5
Done	0	1	1
Total	1 297	10	1 307

Accuracy

100.0%

Counts

1 307 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.0%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	57.0%	(/.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 (neg.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (.f64 (*.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
	57.1%	(/.f64 (-.f64 (.f64 (fma.f64 (sinh.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)) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))) (.f64 (.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
✓	57.1%	(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
▶	57.1%	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	99.1%	#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh 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)))
▶	99.3%	#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
▶	99.1%	#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x))
✓	98.8%	#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)))
✓	98.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 338 to 158 computations (53.3% saved)

simplify142.0ms (1.2%)

Memory

19.1MiB live, 131.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 (neg.f64 x))
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
cost-diff	832	(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
cost-diff	6528	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
cost-diff	0	(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))
cost-diff	0	#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh 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)))
cost-diff	0	(cosh.f64 x)
cost-diff	0	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
cost-diff	0	(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
cost-diff	0	(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x)
cost-diff	0	#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x))
cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
cost-diff	0	(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
cost-diff	0	#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	479
0	70	475
1	145	471
2	312	427
3	1026	309
4	4401	303
0	8053	293

Stop Event

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

Calls

Call 1

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

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

localize590.0ms (5.1%)

Memory

-2.9MiB live, 553.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (neg.f64 x))
accuracy	0.02734375	(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
accuracy	0.0390625	(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
accuracy	27.462404951646974	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(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))
accuracy	0.01953125	(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
accuracy	0.5802237866592612	#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh 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)))
accuracy	0.00390625	(cosh.f64 x)
accuracy	27.486322007864008	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
accuracy	0.01171875	(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x)
accuracy	0.01953125	(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
accuracy	0.1640625	(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
accuracy	0.5802237866592612	#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x))
accuracy	0.015625	(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
accuracy	0.01953125	(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64))
accuracy	0.1640625	(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x))
accuracy	0.46581606179482676	#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))

Samples

446.0ms	174×	2	valid
83.0ms	75×	1	valid
3.0ms	7×	0	valid

Compiler

Compiled 699 to 80 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 490.0ms

ival-mult: 208.0ms (42.5% of total)

adjust: 58.0ms (11.8% of total)

ival-exp: 56.0ms (11.4% of total)

ival-cosh: 40.0ms (8.2% of total)

ival-pow: 31.0ms (6.3% of total)

ival-div: 29.0ms (5.9% of total)

ival-add: 25.0ms (5.1% of total)

const: 15.0ms (3.1% of total)

ival-sub: 10.0ms (2% of total)

ival-pow2: 8.0ms (1.6% of total)

ival-sinh: 7.0ms (1.4% of total)

exact: 1.0ms (0.2% of total)

ival-neg: 1.0ms (0.2% of total)

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

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

series29.0ms (0.2%)

Memory

3.2MiB live, 56.0MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x)) (patch #s(approx (/ (- ( (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x) (patch (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x)) (patch #s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x) (patch (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) (patch (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh 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))) (patch #s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh 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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #<representation binary64>) () ())

Outputs
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#s(alt (/ 1 (exp (* -1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (exp (* -1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (exp (* -1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (exp (* -1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (exp (* -1 x))) 2) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (exp (* -1 x))) 2) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (exp (* -1 x))) 2) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (exp (* -1 x))) 2) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/20160 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

10.0ms

-inf

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

6.0ms

inf

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

2.0ms

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

simplify148.0ms (1.3%)

Memory

3.6MiB live, 206.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	3337
1	407	3304
2	988	3232
3	3579	3208
0	8262	3110

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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

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

rewrite285.0ms (2.4%)

Memory

-1.9MiB live, 190.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	414
0	70	344
1	353	219
2	3210	219
0	8718	214

Stop Event

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

Counts

18 → 497

Calls

Call 1

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

Outputs
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eval122.0ms (1%)

Memory: -8.5MiB live, 185.4MiB allocated
Compiler: Compiled 19 780 to 2 023 computations (89.8% saved)

prune133.0ms (1.1%)

Memory

0.6MiB live, 125.7MiB allocated

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	892	9	901
Fresh	0	2	2
Picked	2	3	5
Done	0	3	3
Total	894	17	911

Accuracy

100.0%

Counts

911 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.0%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	56.2%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
	55.7%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
	57.0%	(/.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (.f64 (neg.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (.f64 (*.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))))
	57.1%	(/.f64 (-.f64 (.f64 (fma.f64 (sinh.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)) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)))) (.f64 (.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))) (*.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
✓	57.1%	(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
✓	57.1%	(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
	99.3%	#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
	99.1%	#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh 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)))
✓	99.3%	#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
	98.8%	#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (.f64 #s(literal 1/20160 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x))
	99.3%	#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 (+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) x) x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x))
	99.1%	#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) x x) x))
	98.8%	#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
	98.2%	#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (*.f64 x x)) x x) x))
✓	98.8%	#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)))
✓	98.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 915 to 304 computations (66.8% saved)

regimes20.0ms (0.2%)

Memory

-0.1MiB live, 34.2MiB allocated

Counts

29 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

11.0ms	x
6.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes13.0ms (0.1%)

Memory

32.6MiB live, 32.6MiB allocated

Counts

23 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

6.0ms	x
5.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes60.0ms (0.5%)

Memory

-64.2MiB live, 43.8MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 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)))
#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (*.f64 x x)) x x) x))
#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) x x) x))
#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x))
#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh 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)))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (.f64 #s(literal 1/20160 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x))
#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))

Outputs

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

Calls

2 calls:

44.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
4.0ms	x

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes7.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 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)))
#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (.f64 #s(literal 1/360 binary64) (.f64 x x))) (*.f64 x x)) x x) x))
#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x) x) x x) x))
#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x))
#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh 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)))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (/ (- (* (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x))))) (* (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (+ (/ (pow (- (exp x) 2) 2) (+ -2 (* 2 (sinh x)))) (/ (pow (exp x) -2) (+ -2 (* 2 (sinh x)))))) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (.f64 #s(literal 1/20160 binary64) (.f64 x x))) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x)) x x) x))

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.1%	1	`x`
99.1%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes4.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
#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)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes4.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Accuracy

Total -27.2b remaining (-2309.5%)

Threshold costs -27.2b (-2309.5%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 #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 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
98.2%	1	`x`
98.2%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify45.0ms (0.4%)

Memory

2.2MiB live, 40.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	452
1	77	452

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.4s (12.4%)

Memory

-9.0MiB live, 940.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	3337
1	407	3304
2	988	3232
3	3579	3208
0	8262	3110
0	44	414
0	70	344
1	353	219
2	3210	219
0	8718	214
0	7	17
0	12	17
1	51	17
2	394	17
3	6866	15
0	8047	14
0	60	269
1	168	268
2	397	262
3	1060	262
4	1759	262
5	3027	262
6	3849	262
7	5284	262
8	6683	262
0	8227	241
0	165	2551
1	434	2551
2	1005	2467
3	2824	2451
4	4371	2451
0	8506	2340
0	54	435
0	88	371
1	449	278
2	4016	263
0	8339	263
0	38	324
0	63	258
1	279	212
2	2513	212
0	9304	207

Stop Event

1×	fuel
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×	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

Compiler

Compiled 291 to 170 computations (41.6% saved)

preprocess108.0ms (0.9%)

Memory: 16.9MiB live, 136.6MiB allocated
Remove: (abs x)
Compiler: Compiled 290 to 136 computations (53.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	8

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	273	21
7	329	21
8	382	21
9	384	21
0	384	21

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	8

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	273	21
7	329	21
8	382	21
9	384	21
0	384	21

start0.0ms (0%)

analyze0.0ms (0%)

sample4.0s (34.6%)

explain926.0ms (7.9%)

preprocess35.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.1%)

localize135.0ms (1.2%)

series2.0ms (0%)

simplify173.0ms (1.5%)

rewrite131.0ms (1.1%)

eval47.0ms (0.4%)

prune36.0ms (0.3%)

simplify209.0ms (1.8%)

localize484.0ms (4.1%)

series39.0ms (0.3%)

simplify206.0ms (1.8%)

rewrite194.0ms (1.7%)

eval221.0ms (1.9%)

prune33.0ms (0.3%)

simplify109.0ms (0.9%)

localize422.0ms (3.6%)

series48.0ms (0.4%)

simplify144.0ms (1.2%)

rewrite159.0ms (1.4%)

eval674.0ms (5.8%)

prune46.0ms (0.4%)

simplify142.0ms (1.2%)

localize590.0ms (5.1%)

series29.0ms (0.2%)

simplify148.0ms (1.3%)

rewrite285.0ms (2.4%)

eval122.0ms (1%)

prune133.0ms (1.1%)

regimes20.0ms (0.2%)

regimes13.0ms (0.1%)

regimes60.0ms (0.5%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify45.0ms (0.4%)

soundness1.4s (12.4%)

preprocess108.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	8

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	273	21
7	329	21
8	382	21
9	384	21
0	384	21