Metrics for exp2 (problem 3.3.7)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 (29.2%)

Memory

51.3MiB live, 3 834.2MiB allocated

Samples

3.2s	5 675×	2	valid
362.0ms	2 361×	1	valid
14.0ms	220×	0	valid

Precisions

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

ival-exp: 2.0s (65.2% of total)

adjust: 608.0ms (20% of total)

ival-add: 201.0ms (6.6% of total)

ival-sub: 123.0ms (4% of total)

ival-fabs: 52.0ms (1.7% of total)

ival-neg: 35.0ms (1.2% of total)

ival-<=: 25.0ms (0.8% of total)

exact: 8.0ms (0.3% of total)

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

Bogosity

explain266.0ms (1.9%)

Memory

4.4MiB live, 377.9MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`	cancellation	135	0

Confusion

	Predicted +	Predicted -
+	135	0
-	0	121

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	135	0	0
-	0	1	120

Precision?

0.9926470588235294

Recall?

1.0

Freqs

test

number	freq
0	121
1	135

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

176.0ms	334×	2	valid
22.0ms	160×	1	valid
1.0ms	18×	0	valid

Compiler

Compiled 55 to 25 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-exp: 118.0ms (79% of total)

adjust: 15.0ms (10% of total)

ival-sub: 8.0ms (5.4% of total)

ival-add: 6.0ms (4% of total)

ival-neg: 2.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess57.0ms (0.4%)

Memory

-21.5MiB live, 50.2MiB allocated

Algorithm

1×	egg-herbie

Rules

244×	`lower-fma.f64`
244×	`lower-fma.f32`
104×	`lower-+.f32`
102×	`lower-+.f64`
102×	`lower--.f32`

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

Symmetry

(abs x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.0%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify17.0ms (0.1%)

Memory

-7.2MiB live, 29.2MiB 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)))

Rules

244×	`lower-fma.f64`
244×	`lower-fma.f32`
104×	`lower-+.f32`
102×	`lower-+.f64`
102×	`lower--.f32`

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

localize119.0ms (0.9%)

Memory

3.9MiB live, 164.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (neg.f64 x))
accuracy	0	(exp.f64 x)
accuracy	0.04032003162065376	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	30.017365354008827	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Samples

64.0ms	167×	2	valid
14.0ms	80×	1	valid
2.0ms	9×	0	valid

Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-exp: 52.0ms (77.3% of total)

adjust: 7.0ms (10.4% of total)

ival-add: 3.0ms (4.5% of total)

ival-sub: 3.0ms (4.5% of total)

ival-neg: 1.0ms (1.5% 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

3.4MiB live, 3.4MiB 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 (- (+ (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) (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 -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 (- (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) 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 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 (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 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 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 (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 (* -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

12 calls:

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

simplify431.0ms (3.1%)

Memory

7.1MiB live, 252.4MiB allocated

Algorithm

1×	egg-herbie

Rules

17 068×	`lower-fma.f64`
17 068×	`lower-fma.f32`
3 466×	`lower-+.f64`
3 466×	`lower-+.f32`
3 160×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	269
1	168	268
2	397	262
3	1053	262
4	1755	262
5	3019	262
6	3833	262
7	5252	262
8	6659	262
0	8202	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))))))))
(- (+ (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 (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg 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))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 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) 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))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(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 (* -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))

rewrite270.0ms (2%)

Memory

16.5MiB live, 292.4MiB allocated

Rules

3 586×	`lower-*.f64`
3 586×	`lower-*.f32`
3 204×	`lower-/.f64`
3 204×	`lower-/.f32`
2 998×	`lower-fma.f64`

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
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.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)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) (exp.f64 x))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (neg.f64 (exp.f64 (neg.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 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x))))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (exp.f64 (+.f64 x x)))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (exp.f64 (+.f64 x x)))))
(-.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (-.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(fma.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(fma.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(fma.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))
(fma.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal -2 binary64))))) (exp.f64 (neg.f64 x)))
(fma.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
(fma.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 (+.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (exp.f64 (neg.f64 x)))
(fma.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 x)))) (exp.f64 (neg.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(fma.f64 (/.f64 (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 3 binary64)) (exp.f64 (.f64 x #s(literal -3 binary64))))) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(fma.f64 (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (exp.f64 (+.f64 x x))) (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x)))) (exp.f64 (neg.f64 x)))
(fma.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))
(fma.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal -2 binary64) #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)) (exp.f64 (.f64 x #s(literal -3 binary64)))) (neg.f64 (fma.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (exp.f64 (-.f64 (neg.f64 x) x))))))
(neg.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)) (exp.f64 (.f64 x #s(literal -3 binary64))))) (fma.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (exp.f64 (-.f64 (neg.f64 x) x)))))
(neg.f64 (/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 2 binary64) (cosh.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)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 (+.f64 x x)) (pow.f64 (-.f64 #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 3 binary64)) (exp.f64 (.f64 x #s(literal -3 binary64)))) (fma.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))) (exp.f64 (-.f64 (neg.f64 x) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (cosh.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))))
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(fma.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (exp.f64 (+.f64 x x))) (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x)))) (neg.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
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(/.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) #s(literal 4 binary64)) (+.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 x))))
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(/.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal -64 binary64)) (.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64) #s(literal 16 binary64)))))
(/.f64 (+.f64 (exp.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal -512 binary64)) (.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64) #s(literal 64 binary64)))))
(/.f64 (+.f64 (exp.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal -512 binary64)) (.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal -2 binary64)))) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64) #s(literal 64 binary64)))))
(/.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) #s(literal -16 binary64)) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 8 binary64))) (pow.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
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(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal -64 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64) #s(literal 16 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal -64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal -512 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64) #s(literal 64 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
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(/.f64 (neg.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) #s(literal 4 binary64))) (neg.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal -512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64) #s(literal 64 binary64))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64) #s(literal 16 binary64))))
(/.f64 (*.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal -2 binary64)))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 (neg.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(*.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)))
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (exp.f64 (+.f64 x x))) (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x)))))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))))
(.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal -2 binary64) #s(literal 4 binary64))))
(exp.f64 x)
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))

eval35.0ms (0.3%)

Memory: -22.3MiB live, 91.5MiB allocated
Compiler: Compiled 6 883 to 793 computations (88.5% saved)

prune79.0ms (0.6%)

Memory

10.1MiB live, 144.6MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	284	9	293
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	284	10	294

Accuracy

100.0%

Counts

294 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.6%	(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (exp.f64 (neg.f64 x)))
	53.0%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
▶	53.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
	53.0%	(+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x)))
	53.0%	(+.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))
✓	53.0%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	98.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)))
▶	98.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)))
	98.3%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
▶	97.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 259 to 167 computations (35.5% saved)

simplify242.0ms (1.7%)

Memory

-13.2MiB live, 258.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 x)
cost-diff	0	(+.f64 (exp.f64 x) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (exp.f64 (neg.f64 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	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)
cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
cost-diff	0	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
cost-diff	0	(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)
cost-diff	0	(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)))

Rules

10 714×	`lower-fma.f32`
10 700×	`lower-fma.f64`
4 248×	`lower-*.f32`
4 236×	`lower-*.f64`
1 662×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	269
0	71	260
1	149	259
2	333	259
3	697	244
4	1244	244
5	2008	244
6	2801	244
7	4099	244
8	7067	244
0	8096	241

Stop Event

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

Calls

Call 1

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

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

localize371.0ms (2.7%)

Memory

32.5MiB live, 580.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))
accuracy	0.025722509768442016	(+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))
accuracy	59.08744804134109	(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (exp.f64 (neg.f64 x)))
accuracy	0.01171875	(cosh.f64 x)
accuracy	0.15625	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
accuracy	0.7164946572432742	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
accuracy	30.07139092841906	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
accuracy	0.01953125	(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
accuracy	0.01953125	(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
accuracy	0.328125	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
accuracy	0.8888360544824276	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)))
accuracy	0	(*.f64 x x)
accuracy	1.6053865701611085	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
accuracy	0.02734375	(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	0.22265625	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
accuracy	0.8112936182256258	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)))

Samples

195.0ms	145×	2	valid
64.0ms	80×	1	valid
55.0ms	22×	3	valid
3.0ms	9×	0	valid

Compiler

Compiled 250 to 43 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 262.0ms

ival-exp: 73.0ms (27.9% of total)

ival-mult: 46.0ms (17.6% of total)

adjust: 38.0ms (14.5% of total)

ival-cosh: 37.0ms (14.1% of total)

ival-add: 34.0ms (13% of total)

const: 14.0ms (5.4% of total)

ival-div: 9.0ms (3.4% of total)

ival-sub: 8.0ms (3.1% of total)

exact: 1.0ms (0.4% of total)

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

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

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

series29.0ms (0.2%)

Memory

4.5MiB live, 49.2MiB allocated

Counts

22 → 264

Calls

Call 1

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

Outputs
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x 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 (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x 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 (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x 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 (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (neg x))) 2) (taylor inf x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (neg x))) 2) (taylor inf x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (neg x))) 2) (taylor inf x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (neg x))) 2) (taylor inf x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)) (patch (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)) (patch (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x 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 (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)) (patch (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x 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 (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)) (patch (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/20160 (pow x 8)) (taylor inf x) (#s(alt (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)) (patch (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)) (patch (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)) (patch (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)) (patch (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/20160 (pow x 8)) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)) (patch (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)) (patch (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)) (patch (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)) (patch (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/20160 (pow x 7)) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/20160 (pow x 7)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/12 (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* 1/360 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* 1/360 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* 1/360 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt -3 (taylor 0 x) (#s(alt (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (patch (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 2 x) 3) (taylor 0 x) (#s(alt (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (patch (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 2 (* 2 x))) 3) (taylor 0 x) (#s(alt (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (patch (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 2 (* x (+ 2 (* 4/3 x))))) 3) (taylor 0 x) (#s(alt (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (patch (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 x)) 4) (taylor inf x) (#s(alt (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (patch (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 x)) 4) (taylor inf x) (#s(alt (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (patch (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 x)) 4) (taylor inf x) (#s(alt (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (patch (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 2 x)) 4) (taylor inf x) (#s(alt (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (patch (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (* -2 x))) 4) (taylor -inf x) (#s(alt (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (patch (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (* -2 x))) 4) (taylor -inf x) (#s(alt (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (patch (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (* -2 x))) 4) (taylor -inf x) (#s(alt (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (patch (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (* -2 x))) 4) (taylor -inf x) (#s(alt (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (patch (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) #<representation binary64>) () ())) ())

Calls

66 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(/ 1 (/ 1 (+ (* 2 (cosh x)) -2)))
2.0ms	x	@	-inf	(* x (+ (* (* x x) 1/360) 1/12))
1.0ms	x	@	inf	(+ (* (/ 1 (+ (exp x) 2)) (+ (exp (+ x x)) -4)) (exp (neg x)))
1.0ms	x	@	-inf	(+ (* (/ 1 (+ (exp x) 2)) (+ (exp (+ x x)) -4)) (exp (neg x)))
1.0ms	x	@	inf	(/ 1 (/ 1 (+ (* 2 (cosh x)) -2)))

simplify271.0ms (2%)

Memory

-10.5MiB live, 309.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 992×	`lower-fma.f64`
16 992×	`lower-fma.f32`
4 240×	`lower-*.f64`
4 240×	`lower-*.f32`
3 408×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	2368
1	605	2308
2	1502	2303
3	4137	2300
4	7705	2300
0	8116	2166

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 262

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))))))))
(- (+ (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 (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 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))))))))
(* 1/20160 (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 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))))))
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))))))))
(* 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))))))
(* 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)))))))
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)))))
(* 1/20160 (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 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 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))))))))
(- (+ (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 (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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))))))))
(- (+ (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 (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 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))))))
(* 1/360 (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 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)))))
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))))))
(* 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)))))
(* 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)))
(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))))))))
(- (+ (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) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(/ 1 (pow x 2))
(/ (+ 1 (* -1/12 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/6048 (pow x 2)))) 1/12))) (pow x 2))
(/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))
(/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))
(/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))
(/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))
(/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))
(/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))
(/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))
(/ 1 (- (+ (exp x) (/ 1 (exp 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))))))))
(- (+ (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) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp 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)))))))
(* 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))))
(* 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 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))))))))
(- (+ (exp (neg x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(- (+ (exp (neg x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(- (+ (exp (neg x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(- (+ (exp (neg x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(- (+ (exp (* -1 x)) (/ (exp (neg (* -2 x))) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(- (+ (exp (* -1 x)) (/ (exp (neg (* -2 x))) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(- (+ (exp (* -1 x)) (/ (exp (neg (* -2 x))) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(- (+ (exp (* -1 x)) (/ (exp (neg (* -2 x))) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
1/3
(+ 1/3 (* -1/9 x))
(+ 1/3 (* x (- (* -1/54 x) 1/9)))
(+ 1/3 (* x (- (* x (- (* 1/162 x) 1/54)) 1/9)))
(/ 1 (+ 2 (exp x)))
(/ 1 (+ 2 (exp x)))
(/ 1 (+ 2 (exp x)))
(/ 1 (+ 2 (exp x)))
(/ 1 (+ 2 (exp x)))
(/ 1 (+ 2 (exp x)))
(/ 1 (+ 2 (exp x)))
(/ 1 (+ 2 (exp x)))
3
(+ 3 x)
(+ 3 (* x (+ 1 (* 1/2 x))))
(+ 3 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
(+ 2 (exp x))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (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)))
(* 1/360 (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)))))
(* 1/360 (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)))))
-3
(- (* 2 x) 3)
(- (* x (+ 2 (* 2 x))) 3)
(- (* x (+ 2 (* x (+ 2 (* 4/3 x))))) 3)
(- (exp (* 2 x)) 4)
(- (exp (* 2 x)) 4)
(- (exp (* 2 x)) 4)
(- (exp (* 2 x)) 4)
(- (exp (neg (* -2 x))) 4)
(- (exp (neg (* -2 x))) 4)
(- (exp (neg (* -2 x))) 4)
(- (exp (neg (* -2 x))) 4)

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))) x))
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(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))))
(/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))))
(/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))))
(/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))))
(/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))))
(/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))))
(/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))))
(/ 1 (- (+ (exp x) (/ 1 (exp x))) 2))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(- (+ (exp (neg x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x))))
(- (+ (exp (neg x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x))))
(- (+ (exp (neg x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x))))
(- (+ (exp (neg x)) (/ (exp (* 2 x)) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x))))
(- (+ (exp (* -1 x)) (/ (exp (neg (* -2 x))) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x))))
(- (+ (exp (* -1 x)) (/ (exp (neg (* -2 x))) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x))))
(- (+ (exp (* -1 x)) (/ (exp (neg (* -2 x))) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x))))
(- (+ (exp (* -1 x)) (/ (exp (neg (* -2 x))) (+ 2 (exp x)))) (* 4 (/ 1 (+ 2 (exp x)))))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x))))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/9 x))
(fma.f64 x #s(literal -1/9 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* x (- (* -1/54 x) 1/9)))
(fma.f64 x (fma.f64 x #s(literal -1/54 binary64) #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* x (- (* x (- (* 1/162 x) 1/54)) 1/9)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/162 binary64) #s(literal -1/54 binary64)) #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
(/ 1 (+ 2 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/ 1 (+ 2 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/ 1 (+ 2 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/ 1 (+ 2 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/ 1 (+ 2 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/ 1 (+ 2 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/ 1 (+ 2 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/ 1 (+ 2 (exp x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
3
#s(literal 3 binary64)
(+ 3 x)
(+.f64 x #s(literal 3 binary64))
(+ 3 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))
(+ 3 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+ 2 (exp x))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(* 1/20160 (pow x 3))
(.f64 #s(literal 1/20160 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
-3
#s(literal -3 binary64)
(- (* 2 x) 3)
(+.f64 (+.f64 x x) #s(literal -3 binary64))
(- (* x (+ 2 (* 2 x))) 3)
(fma.f64 x (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal -3 binary64))
(- (* x (+ 2 (* x (+ 2 (* 4/3 x))))) 3)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -3 binary64))
(- (exp (* 2 x)) 4)
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))
(- (exp (* 2 x)) 4)
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))
(- (exp (* 2 x)) 4)
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))
(- (exp (* 2 x)) 4)
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))
(- (exp (neg (* -2 x))) 4)
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))
(- (exp (neg (* -2 x))) 4)
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))
(- (exp (neg (* -2 x))) 4)
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))
(- (exp (neg (* -2 x))) 4)
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))

rewrite396.0ms (2.9%)

Memory

5.9MiB live, 351.4MiB allocated

Rules

6 102×	`lower-fma.f32`
6 088×	`lower-fma.f64`
4 954×	`lower-*.f32`
4 942×	`lower-*.f64`
4 430×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	229
0	71	212
1	297	194
2	2319	194
0	9939	191

Stop Event

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

Counts

22 → 1 335

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)))
(+.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (*.f64 x x)) x)))
(+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x)) (*.f64 x x))
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x))) (-.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x)) (.f64 x x))) (/.f64 (.f64 (.f64 x (.f64 x x)) x) (-.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x)) (.f64 x x))))
(fma.f64 x x (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x)))
(fma.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) (.f64 x x))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (.f64 x x))
(fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) x (.f64 x x))
(fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x x)) (.f64 x x))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x x))
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (.f64 x x) (.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))) (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))))) (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x)) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x))) (.f64 (.f64 x (.f64 x x)) x)) (-.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x)) (*.f64 x x)))
(/.f64 (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))) (fma.f64 x (-.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)))))))
(/.f64 (.f64 x (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) x) (fma.f64 x (-.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)))))))
(/.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))) x) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x)))) (neg.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))))) (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x)) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x))) (.f64 (.f64 x (.f64 x x)) x))) (neg.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x)) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x))))))))
(/.f64 (neg.f64 (.f64 x (.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))))) (neg.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) x)) (neg.f64 (fma.f64 x (-.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x))))))))
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(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x))))) (fma.f64 (.f64 x x) (.f64 x x) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x))) (.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (*.f64 x x)) x))))))
(.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x) x)
(+.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x))))
(+.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x))) x)
(-.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))))) (/.f64 (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))))) (-.f64 x (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x))))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x)
(fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (.f64 x x) x)
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(pow.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 16 binary64)) (*.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -64 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -16 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)))
(.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 16 binary64)) (.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)))))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64))))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) #s(literal 1 binary64))

eval391.0ms (2.8%)

Memory: 40.6MiB live, 258.9MiB allocated
Compiler: Compiled 52 922 to 3 325 computations (93.7% saved)

prune1.1s (8%)

Memory

-17.0MiB live, 470.4MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	1 658	11	1 669
Fresh	2	2	4
Picked	2	3	5
Done	0	1	1
Total	1 662	17	1 679

Accuracy

100.0%

Counts

1 679 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.0%	(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
	53.0%	(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶	53.0%	(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)))
✓	53.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
	53.0%	(+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x)))
	53.0%	(+.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))
✓	53.0%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	98.3%	#s(approx (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))
▶	98.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)))
▶	98.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
▶	98.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x x)))
✓	98.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)))
	97.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (.f64 x #s(approx (+ ( (* x x) 1/360) 1/12) (.f64 (.f64 x x) #s(literal 1/360 binary64)))) x)))
	97.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(approx (+ ( x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) (.f64 x (*.f64 x x)) x)))
	97.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(approx (+ ( x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)) x)))
	50.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x #s(approx (+ ( (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) (.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x))))))))
✓	97.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 479 to 263 computations (45.1% saved)

simplify233.0ms (1.7%)

Memory

0.1MiB live, 277.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cosh.f64 x)
cost-diff	0	(pow.f64 (cosh.f64 x) #s(literal 2 binary64))
cost-diff	0	(fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
cost-diff	0	(fma.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x x)
cost-diff	0	(.f64 x (fma.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x x))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x x)))
cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
cost-diff	0	(.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
cost-diff	320	(fma.f64 x x (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
cost-diff	0	(.f64 x (.f64 x #s(literal 1/12 binary64)))
cost-diff	0	(fma.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64))) x)
cost-diff	0	(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))) x))
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)))
cost-diff	320	(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x))

Rules

7 662×	`lower-fma.f32`
7 644×	`lower-fma.f64`
3 348×	`lower-*.f32`
3 324×	`lower-*.f64`
1 904×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	376
0	79	354
1	169	332
2	373	332
3	781	326
4	1358	326
5	2210	326
6	4570	326
0	8208	318

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

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

localize507.0ms (3.7%)

Memory

14.3MiB live, 612.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(cosh.f64 x)
accuracy	0.015625	(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)))
accuracy	0.02734375	(pow.f64 (cosh.f64 x) #s(literal 2 binary64))
accuracy	30.104806776563766	(fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64))
accuracy	0.02734375	(.f64 x (fma.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x x))
accuracy	0.13671875	(.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
accuracy	0.33984375	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
accuracy	0.8112936182256258	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x x)))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	0.11328125	(.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
accuracy	0.22265625	(*.f64 x #s(literal 1/360 binary64))
accuracy	0.8888360544824276	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
accuracy	0.01953125	(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))) x))
accuracy	0.12890625	(.f64 x (.f64 x #s(literal 1/12 binary64)))
accuracy	0.3359375	(*.f64 x #s(literal 1/12 binary64))
accuracy	1.0592050875046164	#s(approx (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))
accuracy	0.01953125	(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x))
accuracy	0.0546875	(.f64 (.f64 x (*.f64 x x)) x)
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	0.8112936182256258	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)))

Samples

221.0ms	145×	2	valid
75.0ms	80×	1	valid
52.0ms	22×	3	valid
3.0ms	9×	0	valid

Compiler

Compiled 334 to 51 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 301.0ms

ival-exp: 79.0ms (26.2% of total)

ival-mult: 59.0ms (19.6% of total)

ival-add: 44.0ms (14.6% of total)

adjust: 43.0ms (14.3% of total)

ival-cosh: 34.0ms (11.3% of total)

const: 18.0ms (6% of total)

ival-div: 9.0ms (3% of total)

ival-pow2: 6.0ms (2% of total)

ival-sub: 4.0ms (1.3% of total)

ival-neg: 4.0ms (1.3% of total)

exact: 1.0ms (0.3% of total)

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

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

series45.0ms (0.3%)

Memory

-10.0MiB live, 25.5MiB allocated

Counts

25 → 300

Calls

Call 1

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

Outputs
#s(alt (pow x 2) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)) (patch (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)) (patch (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) 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 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)) (patch (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) 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 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)) (patch (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/20160 (pow x 8)) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)) (patch (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)) (patch (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)) #<representation binary64>) () ())) ())
#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 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)) (patch (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)) (patch (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/20160 (pow x 8)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)) (patch (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)) (patch (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)) #<representation binary64>) () ())) ())
#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 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)) (patch (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)) (patch (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) 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 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) 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))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) 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))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) 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))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 x (.f64 x x)) x) (patch (.f64 (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 x (.f64 x x)) x) (patch (.f64 (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 x (.f64 x x)) x) (patch (.f64 (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 x (.f64 x x)) x) (patch (.f64 (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 x (.f64 x x)) x) (patch (.f64 (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 x (.f64 x x)) x) (patch (.f64 (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 x (.f64 x x)) x) (patch (.f64 (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 x (.f64 x x)) x) (patch (.f64 (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 x (.f64 x x)) x) (patch (.f64 (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 x (.f64 x x)) x) (patch (.f64 (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 x (.f64 x x)) x) (patch (.f64 (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 x (.f64 x x)) x) (patch (.f64 (.f64 x (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/360 binary64)) (patch (.f64 x #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/360 binary64)) (patch (.f64 x #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/360 binary64)) (patch (.f64 x #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/360 binary64)) (patch (.f64 x #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/360 binary64)) (patch (.f64 x #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/360 binary64)) (patch (.f64 x #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/360 binary64)) (patch (.f64 x #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/360 binary64)) (patch (.f64 x #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/360 binary64)) (patch (.f64 x #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/360 binary64)) (patch (.f64 x #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/360 binary64)) (patch (.f64 x #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/360 binary64)) (patch (.f64 x #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/12 x) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/12 (* 1/360 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/20160 (pow x 5)) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/20160 (pow x 5)) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())

Calls

75 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (+ (* 4 (pow (cosh x) 2)) -4) (+ (* 2 (cosh x)) 2))
1.0ms	x	@	inf	(/ (+ (* 4 (pow (cosh x) 2)) -4) (+ (* 2 (cosh x)) 2))
0.0ms	x	@	inf	(* x (+ (* x (* x (* x 1/12))) x))
0.0ms	x	@	0	(* x (+ (* x (* x (* x 1/12))) x))
0.0ms	x	@	0	(/ (+ (* 4 (pow (cosh x) 2)) -4) (+ (* 2 (cosh x)) 2))

simplify278.0ms (2%)

Memory

11.8MiB live, 365.0MiB allocated

Algorithm

1×	egg-herbie

Rules

15 890×	`lower-fma.f64`
15 890×	`lower-fma.f32`
4 380×	`lower-*.f64`
4 380×	`lower-*.f32`
2 456×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	2686
1	531	2596
2	1419	2587
3	4039	2584
4	6449	2584
0	8129	2443

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 298

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

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

rewrite367.0ms (2.7%)

Memory

22.5MiB live, 579.1MiB allocated

Rules

5 808×	`lower-fma.f32`
5 790×	`lower-fma.f64`
5 238×	`lower-*.f32`
5 214×	`lower-*.f64`
4 600×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	314
0	79	289
1	335	259
2	2488	259
0	9934	250

Stop Event

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

Counts

25 → 666

Calls

Call 1

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

Outputs
(+.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 x x))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) (.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) (.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))))
(fma.f64 x x (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (.f64 x x))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (.f64 x x))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x))) (.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (.f64 x x))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x x))
(fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (.f64 x (.f64 x x)) (.f64 x x))
(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (.f64 x x) (.f64 x x))
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(.f64 x (+.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(.f64 (.f64 (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) (.f64 x x)))) (.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) (.f64 x x))))))
(.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) (.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)) x) (/.f64 (.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))) (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)))
(+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64)))))
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(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)))))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/144 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64)))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 x (.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal 1/360 binary64))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/12 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))) x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))) x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x (.f64 x x))) x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) x) (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (.f64 x #s(literal 1/360 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x #s(literal 1/360 binary64))) x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
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(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))) x)
(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x (*.f64 x x)))
(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (.f64 x x)) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 x x))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(+.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
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(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x (.f64 x x)) (.f64 x #s(literal 1/12 binary64)))
(fma.f64 #s(literal 1/12 binary64) x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x #s(literal 1/12 binary64)))
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64)))
(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 x x) (.f64 x #s(literal 1/12 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (-.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x #s(literal 1/12 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x #s(literal 1/12 binary64)))) (-.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (*.f64 x #s(literal 1/12 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) #s(literal 1/1728 binary64))) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) #s(literal 1/144 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal -1/144 binary64))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) #s(literal 1/1728 binary64)) x) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) #s(literal 1/144 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal -1/144 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (-.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x #s(literal 1/12 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x #s(literal 1/12 binary64))))) (neg.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) #s(literal 1/1728 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) #s(literal 1/144 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal -1/144 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) #s(literal 1/1728 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) #s(literal 1/144 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal -1/144 binary64)) x)) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))))) (fma.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x #s(literal 1/12 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) (.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x)

eval213.0ms (1.5%)

Memory: -14.6MiB live, 306.3MiB allocated
Compiler: Compiled 36 863 to 2 393 computations (93.5% saved)

prune349.0ms (2.5%)

Memory

0.4MiB live, 472.3MiB allocated

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	1 162	10	1 172
Fresh	3	5	8
Picked	1	4	5
Done	0	4	4
Total	1 166	23	1 189

Accuracy

100.0%

Counts

1 189 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.0%	(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
	53.0%	(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	53.0%	(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)))
✓	53.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
	53.0%	(+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x)))
	53.0%	(+.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))
✓	53.0%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	98.3%	#s(approx (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x)))
	98.3%	#s(approx (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
✓	98.3%	#s(approx (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))
	98.3%	#s(approx (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)))
▶	50.5%	#s(approx (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (.f64 x #s(approx (+ ( x (* x (* x 1/12))) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
✓	98.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)))
▶	98.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x (*.f64 x x)))))
▶	98.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x)))
✓	98.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x x)))
	97.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (.f64 x #s(approx (+ ( (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))) x) x x)))
	97.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (.f64 x #s(approx (+ ( (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x (.f64 x x)))))) x) x x)))
✓	98.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)))
▶	98.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)))
	50.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x #s(approx (+ ( (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) (.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x))))))))
✓	97.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
	50.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* x x) (* (* x (* x (* x x))) (+ (* x (* x 1/360)) 1/12))) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))

Compiler

Compiled 605 to 333 computations (45% saved)

simplify200.0ms (1.4%)

Memory

-27.4MiB live, 234.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
cost-diff	0	(.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)))
cost-diff	128	(+.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x (*.f64 x x)))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x (*.f64 x x)))))
cost-diff	320	(fma.f64 x x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x (*.f64 x x))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/12 binary64))
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x)))
cost-diff	320	(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x))
cost-diff	0	(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
cost-diff	0	#s(approx (+ (* x (* x (* x 1/12))) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
cost-diff	0	(.f64 x #s(approx (+ ( x (* x (* x 1/12))) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (.f64 x #s(approx (+ ( x (* x (* x 1/12))) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (*.f64 x #s(literal 1/12 binary64))) x) x x)
cost-diff	0	(.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x)))
cost-diff	320	(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64)))

Rules

9 558×	`lower-fma.f32`
9 544×	`lower-fma.f64`
3 532×	`lower-*.f32`
3 504×	`lower-*.f64`
1 280×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	473
0	79	420
1	181	416
2	337	410
3	692	404
4	1403	404
5	1974	404
6	2679	404
7	3788	404
8	6970	404
0	8282	388

Stop Event

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

Calls

Call 1

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

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

localize439.0ms (3.2%)

Memory

28.7MiB live, 682.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x))
accuracy	0.12109375	(.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
accuracy	0.33984375	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
accuracy	0.8112936182256258	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	0.1171875	(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x (*.f64 x x)))
accuracy	0.328125	(.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
accuracy	0.8888360544824276	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x (*.f64 x x)))))
accuracy	0	(*.f64 x x)
accuracy	0.0234375	(fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x))
accuracy	0.2109375	(.f64 (.f64 x x) #s(literal 1/12 binary64))
accuracy	1.0592050875046164	#s(approx (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/12 binary64)) (.f64 x x) (.f64 x x)))
accuracy	0.109375	(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
accuracy	0.2109375	(.f64 (.f64 x x) #s(literal 1/12 binary64))
accuracy	1.0592050875046164	#s(approx (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (.f64 x #s(approx (+ ( x (* x (* x 1/12))) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
accuracy	59.896786462830434	#s(approx (+ (* x (* x (* x 1/12))) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))))
accuracy	0.13671875	(.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (*.f64 x #s(literal 1/12 binary64))) x)
accuracy	0.22265625	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
accuracy	0.3359375	(*.f64 x #s(literal 1/12 binary64))
accuracy	0.8112936182256258	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x)))

Samples

207.0ms	145×	2	valid
86.0ms	80×	1	valid
40.0ms	22×	3	valid
3.0ms	9×	0	valid

Compiler

Compiled 393 to 51 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 283.0ms

ival-mult: 66.0ms (23.3% of total)

ival-exp: 64.0ms (22.6% of total)

ival-cosh: 45.0ms (15.9% of total)

adjust: 38.0ms (13.4% of total)

const: 29.0ms (10.3% of total)

ival-add: 27.0ms (9.5% of total)

ival-div: 5.0ms (1.8% of total)

ival-neg: 5.0ms (1.8% of total)

ival-sub: 4.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series96.0ms (0.7%)

Memory

-6.9MiB live, 37.0MiB allocated

Counts

25 → 300

Calls

Call 1

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

Outputs
#s(alt (* 1/12 x) (taylor 0 x) (#s(alt (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) (patch (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/12 (* 1/360 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) (patch (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) (patch (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) (patch (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/20160 (pow x 5)) (taylor inf x) (#s(alt (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) (patch (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) (patch (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) (patch (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) (patch (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/20160 (pow x 5)) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) (patch (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) (patch (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) (patch (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) (patch (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) 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 (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) 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 (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) 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 (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (neg x))) 2) (taylor inf x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (neg x))) 2) (taylor inf x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (neg x))) 2) (taylor inf x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (neg x))) 2) (taylor inf x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (exp x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x)) (patch (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x)) (patch (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) 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 (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x)) (patch (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) 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 (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x)) (patch (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/20160 (pow x 8)) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x)) (patch (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x)) (patch (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x)) (patch (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor inf x) (#s(alt (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x)) (patch (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x)) #<representation binary64>) () ())) ())
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#s(alt (* 1/20160 (pow x 5)) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ())

Calls

75 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* x (+ (* (* (+ (* (* x (* x (+ (* (* x x) 1/20160) 1/360))) x) (* x 1/12)) x) x) x))
0.0ms	x	@	inf	(+ (* (* x (* x (+ (* (* x x) 1/20160) 1/360))) x) (* x 1/12))
0.0ms	x	@	inf	(* x (* (* x x) 1/12))
0.0ms	x	@	-inf	(* x (* (* x x) 1/12))
0.0ms	x	@	-inf	(+ (* (* x (* x (+ (* (* x x) 1/20160) 1/360))) x) (* x 1/12))

simplify324.0ms (2.3%)

Memory

33.3MiB live, 386.2MiB allocated

Algorithm

1×	egg-herbie

Rules

15 224×	`lower-fma.f64`
15 224×	`lower-fma.f32`
4 282×	`lower-*.f64`
4 282×	`lower-*.f32`
2 194×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	2820
1	385	2706
2	1005	2698
3	2717	2694
4	5364	2694
0	8678	2533

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 297

Calls

Call 1

Inputs
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(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))))))))
(- (+ (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 (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 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))))))))
(* 1/20160 (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 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))))))
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))))))))
(* 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))))))
(* 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 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))))))))
(- (+ (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) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp 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))))
(* 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))))
(* 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))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(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))))
(* 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))))
(* 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) (+ 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))))))))
(- (+ (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) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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 (* 1/360 (pow 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)))))
(* 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) (+ 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))))))))
(- (+ (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 (* -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 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow 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)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow 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)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (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))))))))
(* 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))))))
(* 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 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))))))))
(- (+ (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 (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 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))))))))
(* 1/20160 (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 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))))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 3) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 3) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 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))))))
(* 1/20160 (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 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (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))))))
(* 1/20160 (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 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))))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* x (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))

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

rewrite355.0ms (2.6%)

Memory

-19.7MiB live, 434.0MiB allocated

Rules

5 972×	`lower-fma.f32`
5 958×	`lower-fma.f64`
4 764×	`lower-*.f32`
4 736×	`lower-*.f64`
3 692×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	402
0	79	349
1	336	333
2	2205	333
0	8746	317

Stop Event

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

Counts

25 → 477

Calls

Call 1

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

Outputs
(+.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x (*.f64 x x))))
(+.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x (.f64 x x))) (*.f64 x #s(literal 1/12 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))))) (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x (*.f64 x x))))))
(fma.f64 x #s(literal 1/12 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x (.f64 x x))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 x #s(literal 1/12 binary64)))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 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 (.f64 x x)) (.f64 x #s(literal 1/12 binary64)))
(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 x x) (.f64 x #s(literal 1/12 binary64)))
(fma.f64 #s(literal 1/12 binary64) x (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x (.f64 x x))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x #s(literal 1/12 binary64)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) x (.f64 x #s(literal 1/12 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 x #s(literal 1/12 binary64)) (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x (.f64 x x)))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 x #s(literal 1/12 binary64)) (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x (.f64 x x)))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64))) (fma.f64 x (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 x #s(literal 1/12 binary64)) (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x (*.f64 x x)))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64))) (fma.f64 (.f64 x x) #s(literal 1/144 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))))) (.f64 x (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)))) (neg.f64 (fma.f64 x (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 x #s(literal 1/12 binary64)) (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x (*.f64 x x))))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/144 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))))) (.f64 x (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 x #s(literal 1/12 binary64))))))))
(/.f64 (neg.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))) (neg.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/144 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))))) (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x (.f64 x x)))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) #s(literal 1/1728 binary64))) (-.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x (.f64 x x))) #s(literal 1/144 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (.f64 x (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x (.f64 x x))) #s(literal -1/144 binary64))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))))) #s(literal 1/1728 binary64)) x) (-.f64 (fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x (.f64 x x))) #s(literal 1/144 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
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(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x)
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 x #s(literal 1/12 binary64)) (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (.f64 x (.f64 x x))))))))
(.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) (/.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))

eval216.0ms (1.6%)

Memory: 8.1MiB live, 195.7MiB allocated
Compiler: Compiled 31 720 to 1 796 computations (94.3% saved)

prune332.0ms (2.4%)

Memory

3.5MiB live, 528.7MiB allocated

Pruning

23 alts after pruning (11 fresh and 12 done)

	Pruned	Kept	Total
New	949	3	952
Fresh	2	8	10
Picked	1	4	5
Done	0	8	8
Total	952	23	975

Accuracy

100.0%

Counts

975 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.0%	(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64))
	53.0%	(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	53.0%	(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)))
✓	53.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
	53.0%	(+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (neg.f64 x)))
	53.0%	(+.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))
✓	53.0%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
	98.3%	#s(approx (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (fma.f64 x x (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
	98.3%	#s(approx (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (.f64 (fma.f64 x (.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
✓	98.3%	#s(approx (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))
✓	50.5%	#s(approx (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (.f64 x #s(approx (+ ( x (* x (* x 1/12))) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
✓	98.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x)))
✓	98.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) (.f64 x (*.f64 x x)))))
	98.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)) (.f64 x x)))
✓	98.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))) x (.f64 x #s(literal 1/12 binary64))) x) x x)))
✓	98.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x x)))
	97.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (.f64 x #s(approx (+ ( (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))) x) x x)))
	97.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 (.f64 x #s(approx (+ ( (* x x) (+ (* (* x x) 1/20160) 1/360)) 1/12) (.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x (.f64 x x)))))) x) x x)))
✓	98.6%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)))
✓	98.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (+.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) x)))
	50.1%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x #s(approx (+ ( (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x) (.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x))))))))
✓	97.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
	50.5%	#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (+ (* x x) (* (* (+ (* (* x x) 1/360) 1/12) x) (* x (* x x)))) (.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))))

Compiler

Compiled 870 to 329 computations (62.2% saved)

regimes71.0ms (0.5%)

Memory

0.7MiB live, 37.4MiB allocated

Counts

34 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

60.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
9.0ms	x

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes33.0ms (0.2%)

Memory

-16.0MiB live, 27.7MiB allocated

Counts

24 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

26.0ms	x
5.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes15.0ms (0.1%)

Memory

-3.9MiB live, 31.5MiB allocated

Counts

23 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

9.0ms	x
5.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes11.0ms (0.1%)

Memory

31.2MiB live, 31.2MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

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
98.6%	1	`x`
98.6%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes12.0ms (0.1%)

Memory

-5.6MiB live, 29.0MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
4.0ms	x

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes9.0ms (0.1%)

Memory

-11.9MiB live, 26.6MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes13.0ms (0.1%)

Memory

-69.2MiB live, 9.8MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	x
2.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) 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
98.3%	1	`x`
98.3%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Accuracy

Total -30.1b remaining (-1873.9%)

Threshold costs -30.1b (-1873.9%)

Counts

2 → 1

Calls

Call 1

Inputs

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

#s(approx (/ 1 (/ 1 (+ (* 2 (cosh x)) -2))) (*.f64 x #s(approx (+ (* x (* x (* x 1/12))) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 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
97.5%	1	`x`
97.5%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify8.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	240
1	86	240

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.5s (10.7%)

Memory

28.5MiB live, 1 055.4MiB allocated

Rules

17 068×	`lower-fma.f64`
17 068×	`lower-fma.f32`
16 992×	`lower-fma.f64`
16 992×	`lower-fma.f32`
6 102×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	402
0	79	349
1	336	333
2	2205	333
0	8746	317
0	40	229
0	71	212
1	297	194
2	2319	194
0	9939	191
0	60	269
1	168	268
2	397	262
3	1053	262
4	1755	262
5	3019	262
6	3833	262
7	5252	262
8	6659	262
0	8202	241
0	7	17
0	12	17
1	51	17
2	394	17
3	6866	15
0	8047	14
0	204	2368
1	605	2308
2	1502	2303
3	4137	2300
4	7705	2300
0	8116	2166
0	47	314
0	79	289
1	335	259
2	2488	259
0	9934	250

Stop Event

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

Compiler

Compiled 485 to 203 computations (58.1% saved)

preprocess75.0ms (0.5%)

Memory: 10.8MiB live, 161.1MiB allocated
Remove: (abs x)
Compiler: Compiled 644 to 228 computations (64.6% 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 (29.2%)

explain266.0ms (1.9%)

preprocess57.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify17.0ms (0.1%)

localize119.0ms (0.9%)

series2.0ms (0%)

simplify431.0ms (3.1%)

rewrite270.0ms (2%)

eval35.0ms (0.3%)

prune79.0ms (0.6%)

simplify242.0ms (1.7%)

localize371.0ms (2.7%)

series29.0ms (0.2%)

simplify271.0ms (2%)

rewrite396.0ms (2.9%)

eval391.0ms (2.8%)

prune1.1s (8%)

simplify233.0ms (1.7%)

localize507.0ms (3.7%)

series45.0ms (0.3%)

simplify278.0ms (2%)

rewrite367.0ms (2.7%)

eval213.0ms (1.5%)

prune349.0ms (2.5%)

simplify200.0ms (1.4%)

localize439.0ms (3.2%)

series96.0ms (0.7%)

simplify324.0ms (2.3%)

rewrite355.0ms (2.6%)

eval216.0ms (1.6%)

prune332.0ms (2.4%)

regimes71.0ms (0.5%)

regimes33.0ms (0.2%)

regimes15.0ms (0.1%)

regimes11.0ms (0.1%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes13.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify8.0ms (0.1%)

soundness1.5s (10.7%)

preprocess75.0ms (0.5%)

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