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)

sample3.3s (25.8%)

Memory

82.4MiB live, 3 762.9MiB allocated

Samples

2.4s	5 637×	2	valid
442.0ms	2 393×	1	valid
13.0ms	226×	0	valid

Precisions

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

ival-exp: 1.9s (75% of total)

adjust: 273.0ms (10.8% of total)

ival-sub: 111.0ms (4.4% of total)

ival-add: 95.0ms (3.8% of total)

ival-fabs: 52.0ms (2.1% of total)

ival-<=: 47.0ms (1.9% of total)

ival-neg: 43.0ms (1.7% of total)

exact: 8.0ms (0.3% of total)

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

Bogosity

explain284.0ms (2.3%)

Memory

75.5MiB live, 338.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
131	2	(0.08958268785657435)	-	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
0	0	-	-	`(-.f64 (exp.f64 x) #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(exp.f64 x)`
0	0	-	-	`(exp.f64 (neg.f64 x))`
0	0	-	-	`(neg.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`	cancellation	133	2

Confusion

	Predicted +	Predicted -
+	132	1
-	1	122

Precision

0.9924812030075187

Recall

0.9924812030075187

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	1	0
-	1	1	121

Precision?

0.9851851851851852

Recall?

1.0

Freqs

test

number	freq
0	123
1	133

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

176.0ms	364×	2	valid
19.0ms	140×	1	valid
0.0ms	8×	0	valid

Compiler

Compiled 55 to 25 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-exp: 101.0ms (76.6% of total)

adjust: 15.0ms (11.4% of total)

ival-sub: 7.0ms (5.3% of total)

ival-add: 6.0ms (4.6% of total)

ival-neg: 2.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess298.0ms (2.4%)

Memory

-82.4MiB live, 61.5MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.6%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify42.0ms (0.3%)

Memory

-18.2MiB live, 22.7MiB 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)

localize165.0ms (1.3%)

Memory

23.2MiB live, 137.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (neg.f64 x))
accuracy	0	(exp.f64 x)
accuracy	0.02734375	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	30.30321226573987	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Samples

144.0ms	181×	2	valid
10.0ms	71×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

adjust: 64.0ms (44.8% of total)

ival-exp: 47.0ms (32.9% of total)

ival-sub: 27.0ms (18.9% of total)

ival-add: 3.0ms (2.1% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

4.0MiB live, 4.0MiB 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))

simplify441.0ms (3.5%)

Memory

18.9MiB live, 359.1MiB 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))

rewrite460.0ms (3.6%)

Memory

10.7MiB live, 290.8MiB 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 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
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(/.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))))
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(*.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
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(.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)))))
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(.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)))
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(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))
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(*.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))))

eval142.0ms (1.1%)

Memory: 3.8MiB live, 40.9MiB allocated
Compiler: Compiled 6 883 to 793 computations (88.5% saved)

prune533.0ms (4.2%)

Memory

-56.0MiB live, 132.3MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	280	13	293
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	280	14	294

Accuracy

100.0%

Counts

294 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.2%	(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
	5.8%	(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))))))
	5.8%	(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)))
▶	5.9%	(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)))
▶	52.6%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	53.1%	(/.f64 (fma.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))))
	52.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
	52.7%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
✓	52.6%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶	53.1%	(.f64 (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 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
▶	99.7%	#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)))
	99.5%	#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)))
	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x)))
▶	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))

Compiler

Compiled 551 to 303 computations (45% saved)

simplify202.0ms (1.6%)

Memory

4.6MiB live, 319.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 x)
cost-diff	192	(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
cost-diff	6784	(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)))
cost-diff	13504	(.f64 (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 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
cost-diff	0	(exp.f64 x)
cost-diff	0	(fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
cost-diff	192	(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)))
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 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

9 014×	`lower-fma.f32`
9 000×	`lower-fma.f64`
3 742×	`lower-*.f32`
3 728×	`lower-*.f64`
1 712×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	303
0	70	286
1	152	283
2	355	283
3	929	272
4	2902	272
5	5098	272
0	8129	271

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
(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) (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)))
(/.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)
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))
(exp.f64 x)
x
(+.f64 (exp.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(exp.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -8 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(.f64 (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 (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)))
(exp.f64 x)
x
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(exp.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#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) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
#s(literal 1 binary64)
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))

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 (.f64 x x) (fma.f64 (.f64 x 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)) #s(literal 1 binary64))))
(.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 (.f64 x x) (fma.f64 (.f64 x 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)) #s(literal 1 binary64)))
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 x (.f64 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 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) #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)
#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
(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) (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)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
#s(literal 1 binary64)
(fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))
(fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))
(exp.f64 x)
x
(+.f64 (exp.f64 x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (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 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -8 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(.f64 (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 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #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 (exp.f64 (*.f64 x #s(literal 4 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 4 binary64)))
(exp.f64 x)
x
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(exp.f64 (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
#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))
(fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))
(+.f64 (exp.f64 x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
#s(literal 2 binary64)
#s(literal 4 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
#s(literal 1 binary64)
(*.f64 (exp.f64 x) (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 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))

localize435.0ms (3.4%)

Memory

37.1MiB live, 673.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(+.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	0.025722509768442016	(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
accuracy	0.1953125	(.f64 (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 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
accuracy	30.154554091971427	(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)))
accuracy	0.0078125	(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
accuracy	0.01953125	(+.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	60.28292189473403	(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)))
accuracy	0	(cosh.f64 x)
accuracy	30.35931058887076	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.7188473567674378	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
accuracy	0.015625	(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))
accuracy	0.0703125	(.f64 x (.f64 x x))
accuracy	0.16272191091523197	#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)))
accuracy	0.26171875	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))

Samples

313.0ms	182×	2	valid
54.0ms	70×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 303 to 44 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 324.0ms

ival-exp: 104.0ms (32.1% of total)

ival-mult: 80.0ms (24.7% of total)

ival-cosh: 43.0ms (13.3% of total)

adjust: 32.0ms (9.9% of total)

ival-add: 32.0ms (9.9% of total)

const: 15.0ms (4.6% of total)

ival-sub: 9.0ms (2.8% of total)

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

exact: 1.0ms (0.3% of total)

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

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

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

series40.0ms (0.3%)

Memory

-19.2MiB live, 60.7MiB allocated

Counts

20 → 240

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 (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) (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (patch (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (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 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))) (patch (.f64 (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 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 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 x (.f64 x x)) (patch (.f64 x (.f64 x 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 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (patch (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #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>) () ())) ())
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#s(alt (/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/360 x) (taylor 0 x) (#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 (* x (+ 1/360 (* 1/20160 (pow x 2)))) (taylor 0 x) (#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 (* x (+ 1/360 (* 1/20160 (pow x 2)))) (taylor 0 x) (#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 (* x (+ 1/360 (* 1/20160 (pow x 2)))) (taylor 0 x) (#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 (* 1/20160 (pow x 3)) (taylor inf x) (#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 (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) (taylor inf x) (#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 (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) (taylor inf x) (#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 (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) (taylor inf x) (#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 (* 1/20160 (pow x 3)) (taylor -inf x) (#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 (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) (taylor -inf x) (#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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#s(alt 3 (taylor 0 x) (#s(alt (+.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (+.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 2 (exp x)) (taylor inf x) (#s(alt (+.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (+.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 2 (exp x)) (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 (+ 2 (exp x)) (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 (+ 2 (exp x)) (taylor -inf x) (#s(alt (+.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (+.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (- (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))) 7) (taylor 0 x) (#s(alt (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (patch (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 3 x)) 8) (taylor inf x) (#s(alt (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (patch (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 3 x)) 8) (taylor inf x) (#s(alt (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (patch (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 3 x)) 8) (taylor inf x) (#s(alt (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (patch (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 3 x)) 8) (taylor inf x) (#s(alt (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (patch (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 3 x)) 8) (taylor -inf x) (#s(alt (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (patch (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 3 x)) 8) (taylor -inf x) (#s(alt (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (patch (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 3 x)) 8) (taylor -inf x) (#s(alt (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (patch (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* 3 x)) 8) (taylor -inf x) (#s(alt (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (patch (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) #<representation binary64>) () ())) ())
#s(alt 7 (taylor 0 x) (#s(alt (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 7 (* 11 x)) (taylor 0 x) (#s(alt (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 7 (* x (+ 11 (* 21/2 x)))) (taylor 0 x) (#s(alt (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 7 (* x (+ 11 (* x (+ 21/2 (* 47/6 x)))))) (taylor 0 x) (#s(alt (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))) (taylor inf x) (#s(alt (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))) (taylor inf x) (#s(alt (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))) (taylor inf x) (#s(alt (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))) (taylor inf x) (#s(alt (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))) (taylor -inf x) (#s(alt (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))) (taylor -inf x) (#s(alt (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))) (taylor -inf x) (#s(alt (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))) (taylor -inf x) (#s(alt (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (patch (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #<representation binary64>) () ())) ())

Calls

60 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x))
5.0ms	x	@	-inf	(* x (+ (* (* x x) 1/20160) 1/360))
3.0ms	x	@	inf	(* (+ (* (exp x) (+ (exp (* x 3)) -8)) (+ (* (exp x) (+ (exp x) 2)) 4)) (/ 1 (* (exp x) (+ (* (exp x) (+ (exp x) 2)) 4))))
2.0ms	x	@	inf	(+ (* (/ 1 (+ (* (exp x) (+ (exp x) 2)) 4)) (+ (exp (* x 3)) -8)) (exp (neg x)))
2.0ms	x	@	-inf	(+ (* (/ 1 (+ (* (exp x) (+ (exp x) 2)) 4)) (+ (exp (* x 3)) -8)) (exp (neg x)))

simplify259.0ms (2%)

Memory

13.6MiB live, 333.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14 126×	`lower-fma.f64`
14 126×	`lower-fma.f32`
3 862×	`lower-*.f64`
3 862×	`lower-*.f32`
3 440×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	225	2470
1	673	2428
2	1624	2393
3	4245	2392
4	6753	2392
0	8098	2202

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 239

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) (/ 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 (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))
(- (+ (exp (neg x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))
(- (+ (exp (neg x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))
(- (+ (exp (neg x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))
(- (+ (exp (* -1 x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))
(- (+ (exp (* -1 x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))
(- (+ (exp (* -1 x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))
(- (+ (exp (* -1 x)) (/ (exp (* 3 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))) (* 8 (/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))))
1/7
(+ 1/7 (* -4/49 x))
(+ 1/7 (* x (- (* -5/343 x) 4/49)))
(+ 1/7 (* x (- (* x (- (* 67/7203 x) 5/343)) 4/49)))
(/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ 1 (+ 4 (* (exp x) (+ 2 (exp x)))))
7
(+ 7 (* 4 x))
(+ 7 (* x (+ 4 (* 3 x))))
(+ 7 (* x (+ 4 (* x (+ 3 (* 5/3 x))))))
(+ 4 (* (exp x) (+ 2 (exp x))))
(+ 4 (* (exp x) (+ 2 (exp x))))
(+ 4 (* (exp x) (+ 2 (exp x))))
(+ 4 (* (exp x) (+ 2 (exp x))))
(+ 4 (* (exp x) (+ 2 (exp x))))
(+ 4 (* (exp x) (+ 2 (exp x))))
(+ 4 (* (exp x) (+ 2 (exp x))))
(+ 4 (* (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)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8)))) (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(* 7 (pow x 2))
(* (pow x 2) (+ 7 (* 11 x)))
(* (pow x 2) (+ 7 (* x (+ 11 (* 133/12 x)))))
(* (pow x 2) (+ 7 (* x (+ 11 (* x (+ 133/12 (* 35/4 x)))))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
1/7
(+ 1/7 (* -11/49 x))
(+ 1/7 (* x (- (* 95/686 x) 11/49)))
(+ 1/7 (* x (- (* x (+ 95/686 (* -587/14406 x))) 11/49)))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (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)
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))
-7
(- (* 3 x) 7)
(- (* x (+ 3 (* 9/2 x))) 7)
(- (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))) 7)
(- (exp (* 3 x)) 8)
(- (exp (* 3 x)) 8)
(- (exp (* 3 x)) 8)
(- (exp (* 3 x)) 8)
(- (exp (* 3 x)) 8)
(- (exp (* 3 x)) 8)
(- (exp (* 3 x)) 8)
(- (exp (* 3 x)) 8)
7
(+ 7 (* 11 x))
(+ 7 (* x (+ 11 (* 21/2 x))))
(+ 7 (* x (+ 11 (* x (+ 21/2 (* 47/6 x))))))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp 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 (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 (.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)))
(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 (.f64 x 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 #s(literal 1/20160 binary64) (+.f64 (/.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 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x 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 #s(literal 1/20160 binary64) (+.f64 (/.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 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(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)
(* 1/20160 (pow x 7))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 x #s(literal 7 binary64)))
(* 1/20160 (pow x 7))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
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 (.f64 x 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 (.f64 x 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 (*.f64 x 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 (.f64 x 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 (.f64 x 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 (*.f64 x 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 (.f64 x 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 (.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 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))))))
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(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
1/7
#s(literal 1/7 binary64)
(+ 1/7 (* -11/49 x))
(fma.f64 x #s(literal -11/49 binary64) #s(literal 1/7 binary64))
(+ 1/7 (* x (- (* 95/686 x) 11/49)))
(fma.f64 x (fma.f64 x #s(literal 95/686 binary64) #s(literal -11/49 binary64)) #s(literal 1/7 binary64))
(+ 1/7 (* x (- (* x (+ 95/686 (* -587/14406 x))) 11/49)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -587/14406 binary64) #s(literal 95/686 binary64)) #s(literal -11/49 binary64)) #s(literal 1/7 binary64))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(/ 1 (* (exp x) (+ 4 (* (exp x) (+ 2 (exp x))))))
(/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x 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))
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))
-7
#s(literal -7 binary64)
(- (* 3 x) 7)
(fma.f64 x #s(literal 3 binary64) #s(literal -7 binary64))
(- (* x (+ 3 (* 9/2 x))) 7)
(fma.f64 x (fma.f64 x #s(literal 9/2 binary64) #s(literal 3 binary64)) #s(literal -7 binary64))
(- (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))) 7)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 9/2 binary64) #s(literal 9/2 binary64)) #s(literal 3 binary64)) #s(literal -7 binary64))
(- (exp (* 3 x)) 8)
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(- (exp (* 3 x)) 8)
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(- (exp (* 3 x)) 8)
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(- (exp (* 3 x)) 8)
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(- (exp (* 3 x)) 8)
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(- (exp (* 3 x)) 8)
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(- (exp (* 3 x)) 8)
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(- (exp (* 3 x)) 8)
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
7
#s(literal 7 binary64)
(+ 7 (* 11 x))
(fma.f64 x #s(literal 11 binary64) #s(literal 7 binary64))
(+ 7 (* x (+ 11 (* 21/2 x))))
(fma.f64 x (fma.f64 x #s(literal 21/2 binary64) #s(literal 11 binary64)) #s(literal 7 binary64))
(+ 7 (* x (+ 11 (* x (+ 21/2 (* 47/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 47/6 binary64) #s(literal 21/2 binary64)) #s(literal 11 binary64)) #s(literal 7 binary64))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(* (exp x) (+ 4 (* (exp x) (+ 2 (exp x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))

rewrite376.0ms (3%)

Memory

-10.6MiB live, 659.8MiB allocated

Rules

5 006×	`lower-*.f32`
4 992×	`lower-*.f64`
3 620×	`lower-/.f32`
3 616×	`lower-/.f64`
3 322×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	235
0	70	194
1	291	178
2	2475	178
0	8257	177

Stop Event

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

Counts

20 → 1 202

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 (.f64 x 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 x) (.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 (.f64 x x) (*.f64 x x))))
(+.f64 (.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 (.f64 x x) (.f64 x x))) (*.f64 x x))
(fma.f64 x x (.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 (.f64 x x) (.f64 x x))))
(fma.f64 x (.f64 (.f64 x 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 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 (.f64 x x) (.f64 x x)) (.f64 x x))
(fma.f64 (.f64 x (.f64 x 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 x))
(fma.f64 (.f64 (.f64 x 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 x))
(fma.f64 (.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 (.f64 x x)) (.f64 x x))
(fma.f64 (.f64 x (.f64 x (.f64 x 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 x))
(fma.f64 (.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 x) (.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.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 (.f64 x x) (.f64 x x))))
(/.f64 (fma.f64 (.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 (.f64 x x) (.f64 x x))) (.f64 (.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 (.f64 x (.f64 x x)) (.f64 (.f64 x 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 x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (fma.f64 (.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 (.f64 x (.f64 x x)) (.f64 (.f64 x 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 x) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.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 (.f64 x x) (.f64 x x))) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.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 (.f64 x (.f64 x x)) (.f64 (.f64 x 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 x)) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.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 (.f64 x x) (.f64 x x))) (*.f64 x x)))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x 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 (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 (.f64 x (.f64 x x)) (.f64 (.f64 x 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 (.f64 x x)))) (fma.f64 x (-.f64 x (.f64 (.f64 x 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 (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 (.f64 x (.f64 x x)) (.f64 (.f64 x 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))))))))
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(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (exp.f64 (+.f64 x x)) (.f64 #s(literal 2 binary64) (exp.f64 x)))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 #s(literal -2 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (neg.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x))))
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal -2 binary64) (exp.f64 x))) (.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x)))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) #s(literal -1 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 #s(literal 2 binary64) (exp.f64 x))))))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (exp.f64 x))))
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(.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))) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(+.f64 #s(literal -8 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))
(+.f64 #s(literal -8 binary64) (.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))))
(+.f64 #s(literal -8 binary64) (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) #s(literal -8 binary64))
(+.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -8 binary64))
(-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))
(-.f64 (/.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(fma.f64 (exp.f64 x) (exp.f64 (+.f64 x x)) #s(literal -8 binary64))
(fma.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) #s(literal -8 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 x) #s(literal -8 binary64))
(fma.f64 (exp.f64 (.f64 x #s(literal 3/2 binary64))) (exp.f64 (.f64 x #s(literal 3/2 binary64))) #s(literal -8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal 64 binary64)) (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) #s(literal -512 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal -64 binary64))))
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) #s(literal -512 binary64)) (-.f64 (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal 64 binary64)) (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))))
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) #s(literal -512 binary64)) (+.f64 #s(literal 64 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)))))
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal -64 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) #s(literal -512 binary64))) (-.f64 (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal 64 binary64)) (.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal -64 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) #s(literal -512 binary64))) (neg.f64 (-.f64 (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal 64 binary64)) (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal -64 binary64))) (neg.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))))
(/.f64 (-.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) #s(literal 512 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 64 binary64) (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)))))
(/.f64 (-.f64 #s(literal 64 binary64) (exp.f64 (.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) #s(literal 64 binary64))) (.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))))
(pow.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal 64 binary64)) (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) #s(literal -512 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal -64 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 9 binary64))) #s(literal -512 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal 64 binary64)) (.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)))))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))))
(exp.f64 (neg.f64 (*.f64 (+.f64 x (log.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))) #s(literal -1 binary64))))
(+.f64 (.f64 (exp.f64 x) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) (.f64 (exp.f64 x) #s(literal 4 binary64)))
(fma.f64 (exp.f64 x) #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))
(fma.f64 (exp.f64 x) (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (.f64 (exp.f64 x) #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 x) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (exp.f64 x) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))
(fma.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (exp.f64 x) (.f64 (exp.f64 x) #s(literal 4 binary64)))
(fma.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
(/.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 (exp.f64 (.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 3 binary64)) (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 64 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) (.f64 (exp.f64 x) #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)) (pow.f64 (.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))) (.f64 (exp.f64 x) #s(literal 4 binary64))))
(/.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 64 binary64) (pow.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))))
(/.f64 (.f64 (exp.f64 x) (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal -16 binary64))) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -4 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 3 binary64))) (exp.f64 x)) (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (.f64 (exp.f64 x) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) #s(literal -16 binary64)) (exp.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -4 binary64)))
(pow.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(*.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)) (exp.f64 x))
(*.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)) (/.f64 (exp.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal 1 binary64))

eval315.0ms (2.5%)

Memory: 7.8MiB live, 449.1MiB allocated
Compiler: Compiled 74 319 to 3 266 computations (95.6% saved)

prune221.0ms (1.7%)

Memory

-3.8MiB live, 351.2MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	1 753	10	1 763
Fresh	4	4	8
Picked	1	4	5
Done	0	1	1
Total	1 758	19	1 777

Accuracy

100.0%

Counts

1 777 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.2%	(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
✓	5.9%	(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)))
✓	52.6%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	51.9%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
▶	52.1%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
▶	51.6%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -2 binary64))
	53.1%	(/.f64 (fma.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))))
	52.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
▶	52.7%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
✓	52.6%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
	53.1%	(.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
▶	53.1%	(.f64 (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 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
	53.1%	(.f64 (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 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))))
	53.1%	(.f64 (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))) (exp.f64 (fma.f64 (log.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal -1 binary64) (neg.f64 x))))
✓	99.7%	#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)))
▶	99.5%	#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)))
	99.2%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 #s(approx (+ ( x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))
✓	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
	13.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x)) (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))))

Compiler

Compiled 669 to 387 computations (42.2% saved)

simplify256.0ms (2%)

Memory

18.0MiB live, 263.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
cost-diff	0	(exp.f64 x)
cost-diff	6784	(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)))
cost-diff	13504	(.f64 (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 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
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)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
cost-diff	576	(/.f64 #s(literal 1 binary64) (exp.f64 x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -2 binary64))
cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
cost-diff	0	(fma.f64 (fma.f64 x (.f64 x #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 #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 #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)))

Rules

10 010×	`lower-fma.f32`
9 990×	`lower-fma.f64`
3 514×	`lower-*.f32`
3 500×	`lower-*.f64`
1 968×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	329
0	90	319
1	178	317
2	371	316
3	937	312
4	2757	305
5	5717	305
0	8244	304

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

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

localize510.0ms (4%)

Memory

-5.3MiB live, 611.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(+.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	0.01953125	(+.f64 #s(literal 2 binary64) (exp.f64 x))
accuracy	0.1953125	(.f64 (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 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
accuracy	30.154554091971427	(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)))
accuracy	0	(exp.f64 x)
accuracy	0.02734375	(/.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy	0.02734375	(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy	30.30321226573987	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
accuracy	0.0078125	(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
accuracy	0.2440481372904579	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	0.33203125	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
accuracy	30.35931058887076	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
accuracy	0	(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.576184855050584	#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy	30.35931058887076	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -2 binary64))
accuracy	0.01171875	(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
accuracy	0.0703125	(.f64 x (.f64 x x))
accuracy	0.26171875	(*.f64 x #s(literal 1/360 binary64))
accuracy	0.34558826072365145	#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)))

Samples

349.0ms	182×	2	valid
76.0ms	70×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 290 to 54 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 315.0ms

ival-exp: 92.0ms (29.2% of total)

adjust: 65.0ms (20.6% of total)

ival-mult: 51.0ms (16.2% of total)

ival-add: 36.0ms (11.4% of total)

ival-cosh: 34.0ms (10.8% of total)

const: 21.0ms (6.7% of total)

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

ival-sub: 5.0ms (1.6% of total)

exact: 1.0ms (0.3% of total)

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

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

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

series18.0ms (0.1%)

Memory

34.9MiB live, 34.9MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x) (patch (fma.f64 (fma.f64 x (.f64 x #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 #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 x)) (patch (/.f64 #s(literal 1 binary64) (exp.f64 x)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (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 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))) (patch (.f64 (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 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (patch (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 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 (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (patch (.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 2 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 2 binary64) (exp.f64 x)) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (+.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())

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

Calls

72 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* (+ (* (exp x) (+ (exp (* x 3)) -8)) (+ (* (exp x) (+ (exp x) 2)) 4)) (/ (exp (neg x)) (+ (* (exp x) (+ 2 (exp x))) 4)))
1.0ms	x	@	-inf	(* (+ (* (exp x) (+ (exp (* x 3)) -8)) (+ (* (exp x) (+ (exp x) 2)) 4)) (/ (exp (neg x)) (+ (* (exp x) (+ 2 (exp x))) 4)))
1.0ms	x	@	inf	(+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1)
0.0ms	x	@	-inf	(* x (+ (* (+ (* x (* x 1/360)) 1/12) (* x (* x x))) x))
0.0ms	x	@	inf	(* x (+ (* (+ (* x (* x 1/360)) 1/12) (* x (* x x))) x))

simplify271.0ms (2.1%)

Memory

14.2MiB live, 471.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 546×	`lower-fma.f64`
14 546×	`lower-fma.f32`
4 270×	`lower-*.f64`
4 270×	`lower-*.f32`
2 918×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	177	2357
1	557	2324
2	1367	2256
3	3616	2238
0	8400	2089

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 287

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 (* 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)))
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)))))
(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))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/2 (/ 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)
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))))
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)))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/720 (pow x 6))
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (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 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
(- 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)
(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)) (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (* (exp (neg x)) (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (* (exp (neg x)) (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (* (exp (neg x)) (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (* (exp (* -1 x)) (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (* (exp (* -1 x)) (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (* (exp (* -1 x)) (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (* (exp (* -1 x)) (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(* 7 (pow x 2))
(* (pow x 2) (+ 7 (* 11 x)))
(* (pow x 2) (+ 7 (* x (+ 11 (* 133/12 x)))))
(* (pow x 2) (+ 7 (* x (+ 11 (* x (+ 133/12 (* 35/4 x)))))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
-7
(- (* 3 x) 7)
(- (* x (+ 3 (* 9/2 x))) 7)
(- (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))) 7)
(- (exp (* 3 x)) 8)
(- (exp (* 3 x)) 8)
(- (exp (* 3 x)) 8)
(- (exp (* 3 x)) 8)
(- (exp (* 3 x)) 8)
(- (exp (* 3 x)) 8)
(- (exp (* 3 x)) 8)
(- (exp (* 3 x)) 8)
(* 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)
(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)
(* 1/24 x)
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
1/24
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(+ 1/24 (* 1/720 (pow x 2)))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
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))
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))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 (.f64 x 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 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 (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)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 (.f64 x 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 (* 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))
(* 1/360 (pow x 6))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/360 (pow x 6))
(*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
(* 1/360 (pow x 5))
(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (+.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* 1/360 (pow x 5))
(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1/12 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
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(/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64) (exp.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -6 binary64))) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(/ (* (exp (* -1 x)) (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64) (exp.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -6 binary64))) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(/ (* (exp (* -1 x)) (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64) (exp.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -6 binary64))) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(/ (* (exp (* -1 x)) (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64) (exp.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -6 binary64))) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(/ (* (exp (* -1 x)) (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64) (exp.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -6 binary64))) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(* 7 (pow x 2))
(.f64 x (.f64 x #s(literal 7 binary64)))
(* (pow x 2) (+ 7 (* 11 x)))
(.f64 x (.f64 x (fma.f64 x #s(literal 11 binary64) #s(literal 7 binary64))))
(* (pow x 2) (+ 7 (* x (+ 11 (* 133/12 x)))))
(.f64 x (.f64 x (fma.f64 x (fma.f64 x #s(literal 133/12 binary64) #s(literal 11 binary64)) #s(literal 7 binary64))))
(* (pow x 2) (+ 7 (* x (+ 11 (* x (+ 133/12 (* 35/4 x)))))))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 35/4 binary64) #s(literal 133/12 binary64)) #s(literal 11 binary64)) #s(literal 7 binary64)))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal -6 binary64)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))
-7
#s(literal -7 binary64)
(- (* 3 x) 7)
(fma.f64 x #s(literal 3 binary64) #s(literal -7 binary64))
(- (* x (+ 3 (* 9/2 x))) 7)
(fma.f64 x (fma.f64 x #s(literal 9/2 binary64) #s(literal 3 binary64)) #s(literal -7 binary64))
(- (* x (+ 3 (* x (+ 9/2 (* 9/2 x))))) 7)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 9/2 binary64) #s(literal 9/2 binary64)) #s(literal 3 binary64)) #s(literal -7 binary64))
(- (exp (* 3 x)) 8)
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(- (exp (* 3 x)) 8)
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(- (exp (* 3 x)) 8)
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(- (exp (* 3 x)) 8)
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(- (exp (* 3 x)) 8)
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(- (exp (* 3 x)) 8)
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(- (exp (* 3 x)) 8)
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(- (exp (* 3 x)) 8)
(+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 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))
(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))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/720 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* 1/720 (pow x 3))
(.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* 1/720 (pow x 3))
(.f64 #s(literal 1/720 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* 1/720 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
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))
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))

rewrite381.0ms (3%)

Memory

-14.7MiB live, 524.1MiB allocated

Rules

5 822×	`lower-*.f32`
5 808×	`lower-*.f64`
4 292×	`lower-fma.f32`
4 272×	`lower-fma.f64`
3 840×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	247
0	90	237
1	376	230
2	2916	230
0	9167	226

Stop Event

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

Counts

24 → 630

Calls

Call 1

Inputs
#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)))
(.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 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
(.f64 (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 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #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 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))
(*.f64 x #s(literal 1/360 binary64))
(.f64 x (.f64 x x))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal 2 binary64))

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

eval323.0ms (2.6%)

Memory: 3.5MiB live, 194.3MiB allocated
Compiler: Compiled 39 202 to 2 699 computations (93.1% saved)

prune735.0ms (5.8%)

Memory

-38.2MiB live, 278.9MiB allocated

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	1 087	4	1 091
Fresh	4	5	9
Picked	0	5	5
Done	0	5	5
Total	1 091	19	1 110

Accuracy

100.0%

Counts

1 110 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	5.9%	(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)))
	53.2%	(fma.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64))) (exp.f64 (.f64 x #s(literal -1/2 binary64))) (+.f64 #s(literal -2 binary64) (exp.f64 x)))
✓	52.6%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
▶	51.9%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
✓	52.1%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
✓	51.6%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -2 binary64))
▶	52.7%	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
	52.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
✓	52.7%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
✓	52.6%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
	53.1%	(.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) (+.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (.f64 x #s(literal 4 binary64)))))) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
✓	53.1%	(.f64 (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 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
▶	53.1%	(.f64 (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 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))))
	53.1%	(.f64 (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))) (exp.f64 (fma.f64 (log.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal -1 binary64) (neg.f64 x))))
▶	99.2%	#s(approx (+ (- (exp x) 2) (/ 1 (exp x))) (.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)))
✓	99.7%	#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)))
✓	99.5%	#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)))
✓	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
▶	13.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x)) (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))))

Compiler

Compiled 573 to 338 computations (41% saved)

simplify256.0ms (2%)

Memory

-2.4MiB live, 219.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	192	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))))
cost-diff	1216	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
cost-diff	6784	(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)))
cost-diff	13504	(.f64 (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 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))))
cost-diff	0	(+.f64 #s(literal -2 binary64) (exp.f64 x))
cost-diff	0	(pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal -2 binary64))))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
cost-diff	0	(pow.f64 x #s(literal 8 binary64))
cost-diff	0	(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
cost-diff	0	#s(approx (* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x)) (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
cost-diff	0	#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x)) (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x)
cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x))
cost-diff	0	#s(approx (+ (- (exp x) 2) (/ 1 (exp x))) (.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)))

Rules

8 070×	`lower-fma.f32`
8 058×	`lower-fma.f64`
4 272×	`lower-*.f32`
4 252×	`lower-*.f64`
1 978×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	604
0	126	546
1	268	500
2	617	500
3	1639	496
4	5435	489
0	8432	479

Stop Event

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

Calls

Call 1

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

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

localize701.0ms (5.5%)

Memory

18.8MiB live, 1 084.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(+.f64 #s(literal 2 binary64) (exp.f64 x))
accuracy	0.02734375	(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
accuracy	0.1953125	(.f64 (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 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))))
accuracy	30.154554091971427	(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)))
accuracy	0.0234375	(pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 2 binary64))
accuracy	0.0234375	(-.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
accuracy	0.02734375	(+.f64 #s(literal -2 binary64) (exp.f64 x))
accuracy	30.281574400574346	(-.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal -2 binary64))))
accuracy	0.08984375	(/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x))))
accuracy	0.16272191091523197	#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x)) (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))))
accuracy	0.17298985241743065	(/.f64 #s(literal 1/360 binary64) (*.f64 x x))
accuracy	54.08551604512441	(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
accuracy	0	(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.4171343390167384	#s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	30.35931058887076	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
accuracy	0	(.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x))
accuracy	0	(*.f64 x x)
accuracy	0.3203125	(*.f64 x #s(literal 1/12 binary64))
accuracy	0.5186968364245765	#s(approx (+ (- (exp x) 2) (/ 1 (exp x))) (.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)))

Samples

433.0ms	182×	2	valid
108.0ms	70×	1	valid
2.0ms	4×	0	valid

Compiler

Compiled 491 to 76 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 476.0ms

ival-exp: 108.0ms (22.7% of total)

ival-add: 80.0ms (16.8% of total)

adjust: 77.0ms (16.2% of total)

ival-mult: 69.0ms (14.5% of total)

ival-cosh: 56.0ms (11.8% of total)

ival-div: 31.0ms (6.5% of total)

const: 22.0ms (4.6% of total)

ival-pow2: 17.0ms (3.6% of total)

ival-sub: 9.0ms (1.9% of total)

ival-pow: 3.0ms (0.6% of total)

exact: 1.0ms (0.2% of total)

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

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

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

series31.0ms (0.2%)

Memory

27.6MiB live, 65.5MiB allocated

Counts

25 → 300

Calls

Call 1

Inputs
#s(alt #s(approx (+ (- (exp x) 2) (/ 1 (exp x))) (.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x))) (patch #s(approx (+ (- (exp x) 2) (/ 1 (exp x))) (.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x)) (patch (.f64 x (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) (patch (fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64)) (patch (fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x)) (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x)) (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))) #<representation binary64>) () ())
#s(alt #s(approx (* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x)) (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (patch #s(approx (* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x)) (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (patch (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 8 binary64)) (patch (pow.f64 x #s(literal 8 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 2 binary64)) (exp.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) (patch (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 2 binary64)) (exp.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 2 binary64)) (exp.f64 (.f64 x #s(literal -2 binary64)))) (patch (-.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 2 binary64)) (exp.f64 (.f64 x #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -2 binary64) (exp.f64 x)) (patch (+.f64 #s(literal -2 binary64) (exp.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 (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 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))))) (patch (.f64 (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 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))))) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/12 binary64)) (patch (.f64 x #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (patch (/.f64 #s(literal 1/360 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))) (patch (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) (patch (-.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 2 binary64) (exp.f64 x)) (patch (+.f64 #s(literal 2 binary64) (exp.f64 x)) #<representation binary64>) () ())

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

Calls

75 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(* x 1/12)
3.0ms	x	@	inf	(/ 1/12 (* x (* x (* x x))))
1.0ms	x	@	-inf	(/ (- (pow (+ -2 (exp x)) 2) (exp (* x -2))) (- (exp x) (+ 2 (exp (neg x)))))
1.0ms	x	@	inf	(/ (- (pow (+ -2 (exp x)) 2) (exp (* x -2))) (- (exp x) (+ 2 (exp (neg x)))))
1.0ms	x	@	inf	(/ 1 (/ 1 (/ (exp (neg x)) (+ (* (exp x) (+ 2 (exp x))) 4))))

simplify352.0ms (2.8%)

Memory

-45.7MiB live, 410.9MiB allocated

Algorithm

1×	egg-herbie

Rules

17 612×	`lower-fma.f64`
17 612×	`lower-fma.f32`
4 236×	`lower-*.f64`
4 236×	`lower-*.f32`
4 084×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	222	2784
1	645	2734
2	1516	2650
3	4013	2634
4	6937	2634
0	8067	2466

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 299

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) (/ 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))))
(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)
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))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 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)
(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))))))))
(* 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 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(pow x 8)
(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) 2) 2) (exp (* -2 x))) (- (exp x) (+ 2 (exp (neg x)))))
(/ (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (- (exp x) (+ 2 (exp (neg x)))))
(/ (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (- (exp x) (+ 2 (exp (neg x)))))
(/ (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (- (exp x) (+ 2 (exp (neg x)))))
(/ (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (- (exp x) (+ 2 (exp (* -1 x)))))
(/ (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (- (exp x) (+ 2 (exp (* -1 x)))))
(/ (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (- (exp x) (+ 2 (exp (* -1 x)))))
(/ (- (pow (- (exp x) 2) 2) (exp (* -2 x))) (- (exp x) (+ 2 (exp (* -1 x)))))
(* -2 (pow x 2))
(* (pow x 2) (- (* 2 x) 2))
(* (pow x 2) (- (* x (+ 2 (* -1/6 x))) 2))
(* (pow x 2) (- (* x (+ 2 (* x (- (* 1/2 x) 1/6)))) 2))
(- (pow (- (exp x) 2) 2) (exp (* -2 x)))
(- (pow (- (exp x) 2) 2) (exp (* -2 x)))
(- (pow (- (exp x) 2) 2) (exp (* -2 x)))
(- (pow (- (exp x) 2) 2) (exp (* -2 x)))
(- (pow (- (exp x) 2) 2) (exp (* -2 x)))
(- (pow (- (exp x) 2) 2) (exp (* -2 x)))
(- (pow (- (exp x) 2) 2) (exp (* -2 x)))
(- (pow (- (exp x) 2) 2) (exp (* -2 x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* x (- (* (pow x 2) (+ 2/3 (* 1/2 x))) 2)))
(pow (- (exp x) 2) 2)
(pow (- (exp x) 2) 2)
(pow (- (exp x) 2) 2)
(pow (- (exp x) 2) 2)
(pow (- (exp x) 2) 2)
(pow (- (exp x) 2) 2)
(pow (- (exp x) 2) 2)
(pow (- (exp x) 2) 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)
(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)) (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (* (exp (neg x)) (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (* (exp (neg x)) (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (* (exp (neg x)) (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (* (exp (* -1 x)) (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (* (exp (* -1 x)) (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (* (exp (* -1 x)) (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (* (exp (* -1 x)) (+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))) (+ 4 (* (exp x) (+ 2 (exp x)))))
(* 7 (pow x 2))
(* (pow x 2) (+ 7 (* 11 x)))
(* (pow x 2) (+ 7 (* x (+ 11 (* 133/12 x)))))
(* (pow x 2) (+ 7 (* x (+ 11 (* x (+ 133/12 (* 35/4 x)))))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
(+ 4 (+ (* (exp x) (+ 2 (exp x))) (* (exp x) (- (exp (* 3 x)) 8))))
7
(+ 7 (* 11 x))
(+ 7 (* x (+ 11 (* 21/2 x))))
(+ 7 (* x (+ 11 (* x (+ 21/2 (* 47/6 x))))))
(/ (+ 4 (* (exp x) (+ 2 (exp x)))) (exp (neg x)))
(/ (+ 4 (* (exp x) (+ 2 (exp x)))) (exp (neg x)))
(/ (+ 4 (* (exp x) (+ 2 (exp x)))) (exp (neg x)))
(/ (+ 4 (* (exp x) (+ 2 (exp x)))) (exp (neg x)))
(/ (+ 4 (* (exp x) (+ 2 (exp x)))) (exp (* -1 x)))
(/ (+ 4 (* (exp x) (+ 2 (exp x)))) (exp (* -1 x)))
(/ (+ 4 (* (exp x) (+ 2 (exp x)))) (exp (* -1 x)))
(/ (+ 4 (* (exp x) (+ 2 (exp x)))) (exp (* -1 x)))
1/7
(+ 1/7 (* -11/49 x))
(+ 1/7 (* x (- (* 95/686 x) 11/49)))
(+ 1/7 (* x (- (* x (+ 95/686 (* -587/14406 x))) 11/49)))
(/ (exp (neg x)) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (exp (neg x)) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (exp (neg x)) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (exp (neg x)) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (exp (* -1 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (exp (* -1 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (exp (* -1 x)) (+ 4 (* (exp x) (+ 2 (exp x)))))
(/ (exp (* -1 x)) (+ 4 (* (exp x) (+ 2 (exp 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)
(* 1/12 x)
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(/ 1/360 (pow x 2))
(/ 1/360 (pow x 2))
(/ 1/360 (pow x 2))
(/ 1/360 (pow x 2))
(/ 1/360 (pow x 2))
(/ 1/360 (pow x 2))
(/ 1/360 (pow x 2))
(/ 1/360 (pow x 2))
(/ 1/360 (pow x 2))
(/ 1/360 (pow x 2))
(/ 1/360 (pow x 2))
(/ 1/360 (pow x 2))
(/ 1/12 (pow x 4))
(/ 1/12 (pow x 4))
(/ 1/12 (pow x 4))
(/ 1/12 (pow x 4))
(/ 1/12 (pow x 4))
(/ 1/12 (pow x 4))
(/ 1/12 (pow x 4))
(/ 1/12 (pow x 4))
(/ 1/12 (pow x 4))
(/ 1/12 (pow x 4))
(/ 1/12 (pow x 4))
(/ 1/12 (pow x 4))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* 1/3 (pow x 2)))) 2)
(- (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) 2)
(- (exp x) (+ 2 (exp (neg x))))
(- (exp x) (+ 2 (exp (neg x))))
(- (exp x) (+ 2 (exp (neg x))))
(- (exp x) (+ 2 (exp (neg x))))
(- (exp x) (+ 2 (exp (* -1 x))))
(- (exp x) (+ 2 (exp (* -1 x))))
(- (exp x) (+ 2 (exp (* -1 x))))
(- (exp x) (+ 2 (exp (* -1 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))

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))
(* (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 (.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) (/ 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 x (*.f64 x #s(literal 1/12 binary64))) 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 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))) x))
(* 1/12 (pow x 4))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))) x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))) x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))) x))
(* 1/12 (pow x 4))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))) x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))) x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))) x))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64))) x)
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64))) x)
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64))) x)
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(+.f64 #s(literal 2 binary64) (exp.f64 x))

rewrite331.0ms (2.6%)

Memory

26.4MiB live, 452.8MiB allocated

Rules

4 946×	`lower-*.f32`
4 926×	`lower-*.f64`
4 864×	`lower-fma.f32`
4 852×	`lower-fma.f64`
2 260×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	405
0	126	357
1	587	325
2	5368	317
0	8347	297

Stop Event

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

Counts

25 → 709

Calls

Call 1

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

Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))) x)))
(+.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))))
(+.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))) (*.f64 x x))
(fma.f64 x x (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(fma.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))) (.f64 x x))
(fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/12 binary64))) (.f64 x x))
(fma.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) (.f64 x x))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/12 binary64)) (.f64 x x))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/12 binary64) (.f64 x x))
(fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))) x (.f64 x x))
(fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) (.f64 x x) (.f64 x x))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))) (*.f64 x x)))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) (.f64 x (.f64 x x)))) (fma.f64 x (-.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 (.f64 x (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (neg.f64 x)))) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))) x))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) (.f64 x (.f64 x x))) x) (fma.f64 x (-.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (neg.f64 x))) x) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))) x))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))) x))
(.f64 (fma.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))) x) x)
(+.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x))))
(+.f64 (.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x))) x)
(-.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x))) x)))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/12 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/12 binary64)) x)
(fma.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 x x) x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x)
(fma.f64 (.f64 x (.f64 x #s(literal 1/12 binary64))) x x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))) x) (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x (neg.f64 x)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) (.f64 x (.f64 x x))) (fma.f64 x (-.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) (.f64 x (.f64 x x))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))))
(/.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (neg.f64 x))) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x))) x))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (neg.f64 x)))) (neg.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x))) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) (.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))) x) (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x (neg.f64 x)))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(.f64 (fma.f64 #s(literal 1/144 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))) x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
(fma.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 4 binary64)) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 4 binary64) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -4 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 4 binary64) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal -8 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 4 binary64)) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 4 binary64) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 4 binary64) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)))))
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(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 4 binary64) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal -8 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 4 binary64)) (.f64 #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -4 binary64)))))
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(fma.f64 (exp.f64 x) #s(literal 1 binary64) (-.f64 #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 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) (neg.f64 (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 x)) (+.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)) (-.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) (+.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) (-.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))
(fma.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 #s(literal 8 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x)))) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 #s(literal 8 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (fma.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 4 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (+.f64 #s(literal -2 binary64) (exp.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))) (-.f64 #s(literal 2 binary64) (exp.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))
(fma.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (exp.f64 x))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (pow.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 #s(literal 8 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x)))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 #s(literal 8 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal -2 binary64) (exp.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)) (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 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #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))))))
(/.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)))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)))
(/.f64 (-.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))) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x))))
(/.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)))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 (exp.f64 x) #s(literal -8 binary64) (exp.f64 (fma.f64 x #s(literal 3 binary64) x))) (.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (neg.f64 (exp.f64 x))) (.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)) (neg.f64 (exp.f64 x))))
(/.f64 (-.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (exp.f64 x)) (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1 binary64))) (*.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (-.f64 (.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (neg.f64 (exp.f64 x))) (.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (neg.f64 (exp.f64 x))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (exp.f64 x)) (.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (neg.f64 (exp.f64 x))) (.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (exp.f64 x)) (neg.f64 (exp.f64 x))))
(/.f64 (neg.f64 (-.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)))) (neg.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x)))))
(/.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))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) (+.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) (*.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 3 binary64)) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 2 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) (+.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))))) (-.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)) (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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #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))))) #s(literal -1 binary64))
(.f64 (-.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) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (+.f64 x x)))))
(.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 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal 2 binary64))
(-.f64 (/.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))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 2 binary64) (exp.f64 x))))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 2 binary64))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)) #s(literal 2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) #s(literal 2 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x)))) (+.f64 #s(literal 8 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 4 binary64)) (+.f64 #s(literal 8 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 x)) (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 #s(literal -2 binary64) (exp.f64 x)))
(/.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 (+.f64 #s(literal 8 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x)))))
(/.f64 (+.f64 #s(literal 8 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (neg.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x))))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (exp.f64 x)))) (+.f64 #s(literal 8 binary64) (exp.f64 (.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 4 binary64)) (+.f64 #s(literal 8 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (exp.f64 x)) (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (exp.f64 x))))
(*.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (exp.f64 x))))
(.f64 (+.f64 #s(literal 8 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))))))
(.f64 (+.f64 #s(literal 8 binary64) (exp.f64 (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (exp.f64 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 #s(literal 2 binary64) (exp.f64 x)))
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x)))) (-.f64 #s(literal -2 binary64) (exp.f64 x)))
(.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))) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))

eval147.0ms (1.2%)

Memory: -7.6MiB live, 309.2MiB allocated
Compiler: Compiled 35 298 to 2 646 computations (92.5% saved)

prune267.0ms (2.1%)

Memory

38.0MiB live, 381.8MiB allocated

Pruning

20 alts after pruning (5 fresh and 15 done)

	Pruned	Kept	Total
New	1 102	2	1 104
Fresh	1	3	4
Picked	0	5	5
Done	0	10	10
Total	1 103	20	1 123

Accuracy

100.0%

Counts

1 123 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	5.9%	(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)))
	53.2%	(fma.f64 (exp.f64 (.f64 x #s(literal -1/2 binary64))) (exp.f64 (.f64 x #s(literal -1/2 binary64))) (+.f64 #s(literal -2 binary64) (exp.f64 x)))
✓	52.6%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
✓	51.9%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
✓	52.1%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64))
✓	51.6%	(fma.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -2 binary64))
	52.7%	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 2 binary64)) (exp.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))
✓	52.7%	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (exp.f64 x)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
	52.7%	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 #s(literal 4 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal -2 binary64) (exp.f64 x))) (-.f64 #s(literal -2 binary64) (exp.f64 x))) (exp.f64 (.f64 x #s(literal -2 binary64)))) (-.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))))
	52.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))))
✓	52.7%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
✓	52.6%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
✓	53.1%	(.f64 (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 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))
✓	53.1%	(.f64 (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 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))))))
	53.1%	(.f64 (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))) (exp.f64 (fma.f64 (log.f64 (fma.f64 (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) #s(literal -1 binary64) (neg.f64 x))))
✓	99.2%	#s(approx (+ (- (exp x) 2) (/ 1 (exp x))) (.f64 x (fma.f64 (.f64 x x) (*.f64 x #s(literal 1/12 binary64)) x)))
✓	99.7%	#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)))
✓	99.5%	#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)))
✓	98.9%	#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
✓	13.7%	#s(approx (+ (- (exp x) 2) (exp (neg x))) #s(approx (* x (+ (* (+ (* x (* x (+ (* (* x x) 1/20160) 1/360))) 1/12) (* x (* x x))) x)) (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))))

Compiler

Compiled 1 008 to 385 computations (61.8% saved)

regimes19.0ms (0.2%)

Memory

1.6MiB live, 36.3MiB allocated

Counts

30 → 1

Calls

Call 1

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

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)))

Calls

2 calls:

11.0ms	x
7.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

9 → 1

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes12.0ms (0.1%)

Memory

-65.0MiB live, 6.1MiB allocated

Counts

6 → 1

Calls

Call 1

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

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
99.2%	1	`x`
99.2%	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

3.7MiB live, 3.7MiB allocated

Accuracy

Total -30.2b remaining (-4206.5%)

Threshold costs -30.2b (-4206.5%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	84
1	35	84

Stop Event

1×

saturated

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)))
#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 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))) (.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) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) 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))

soundness497.0ms (3.9%)

Memory

8.0MiB live, 230.6MiB allocated

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×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 85 to 35 computations (58.8% saved)

preprocess39.0ms (0.3%)

Memory: 10.2MiB live, 94.0MiB allocated
Remove: (abs x)
Compiler: Compiled 192 to 86 computations (55.2% 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%)

sample3.3s (25.8%)

explain284.0ms (2.3%)

preprocess298.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify42.0ms (0.3%)

localize165.0ms (1.3%)

series2.0ms (0%)

simplify441.0ms (3.5%)

rewrite460.0ms (3.6%)

eval142.0ms (1.1%)

prune533.0ms (4.2%)

simplify202.0ms (1.6%)

localize435.0ms (3.4%)

series40.0ms (0.3%)

simplify259.0ms (2%)

rewrite376.0ms (3%)

eval315.0ms (2.5%)

prune221.0ms (1.7%)

simplify256.0ms (2%)

localize510.0ms (4%)

series18.0ms (0.1%)

simplify271.0ms (2.1%)

rewrite381.0ms (3%)

eval323.0ms (2.6%)

prune735.0ms (5.8%)

simplify256.0ms (2%)

localize701.0ms (5.5%)

series31.0ms (0.2%)

simplify352.0ms (2.8%)

rewrite331.0ms (2.6%)

eval147.0ms (1.2%)

prune267.0ms (2.1%)

regimes19.0ms (0.2%)

regimes6.0ms (0%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

simplify6.0ms (0%)

soundness497.0ms (3.9%)

preprocess39.0ms (0.3%)

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