Metrics for exp neg sub

start0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample723.0ms (6.8%)

Memory

22.0MiB live, 929.3MiB allocated

Samples

519.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 366.0ms

ival-sub: 117.0ms (32% of total)

ival-mult: 102.0ms (27.9% of total)

ival-exp: 68.0ms (18.6% of total)

ival-neg: 66.0ms (18% of total)

ival-true: 5.0ms (1.4% of total)

exact: 4.0ms (1.1% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain107.0ms (1%)

Memory

-16.9MiB live, 155.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
0	-	-	`(*.f64 x x)`
0	-	-	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-sub: 8.0ms (39.7% of total)

ival-exp: 5.0ms (24.8% of total)

ival-mult: 4.0ms (19.8% of total)

ival-neg: 2.0ms (9.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess255.0ms (2.4%)

Memory

11.1MiB live, 346.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 302×	`lower-fma.f64`
7 302×	`lower-fma.f32`
2 712×	`lower-*.f32`
2 710×	`lower-*.f64`
2 292×	`exp-sum`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	30	13
2	74	13
3	156	13
4	282	13
5	410	13
6	635	13
7	968	13
8	1625	13
9	3013	13
10	6135	13
0	6	7
0	10	7
1	22	6
2	51	6
3	106	6
4	192	6
5	293	6
6	468	6
7	776	6
8	1277	6
9	2109	6
10	4291	6
11	7386	6
0	8073	5

Stop Event

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

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Outputs
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))

Symmetry

(abs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.3MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify251.0ms (2.4%)

Memory

22.7MiB live, 339.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff	0	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
cost-diff	256	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Rules

7 302×	`lower-fma.f64`
7 302×	`lower-fma.f32`
2 712×	`lower-*.f32`
2 710×	`lower-*.f64`
2 292×	`exp-sum`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	22	21
2	51	21
3	106	21
4	192	21
5	293	21
6	468	21
7	776	21
8	1277	21
9	2109	21
10	4291	21
11	7386	21
0	8073	19

Stop Event

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

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

Outputs
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 x x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x

localize25.0ms (0.2%)

Memory

-21.1MiB live, 50.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	0.02181625976844202	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Samples

16.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-exp: 2.0ms (30.4% of total)

ival-mult: 2.0ms (30.4% of total)

ival-sub: 1.0ms (15.2% of total)

ival-neg: 1.0ms (15.2% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (patch (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) (patch (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())

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

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(neg (- 1 (* x x)))
0.0ms	x	@	0	(exp (neg (- 1 (* x x))))
0.0ms	x	@	0	(neg (- 1 (* x x)))
0.0ms	x	@	0	(* x x)
0.0ms	x	@	inf	(* x x)

simplify205.0ms (1.9%)

Memory

8.2MiB live, 391.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 734×	`lower-fma.f64`
9 734×	`lower-fma.f32`
3 654×	`lower-*.f64`
3 654×	`lower-*.f32`
1 572×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	254
1	81	241
2	247	237
3	607	234
4	1355	234
5	2041	234
6	3139	234
7	5658	234
0	8384	211

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 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)

Outputs
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(exp -1)
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (exp -1) (* (pow x 2) (exp -1)))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (- (pow x 2) 1))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite518.0ms (4.9%)

Memory

-84.3MiB live, 362.3MiB allocated

Rules

5 524×	`lower-fma.f64`
5 524×	`lower-fma.f32`
3 714×	`lower-/.f64`
3 714×	`lower-/.f32`
2 654×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	37	19
2	227	19
3	1923	19
0	9304	16

Stop Event

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

Counts

4 → 500

Calls

Call 1

Inputs
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)

Outputs
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(+.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 x x))
(-.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)))) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))))) (/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (neg.f64 (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) (fma.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (neg.f64 (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)))) (/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))
(expm1.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)) #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 x (neg.f64 x) #s(literal -1 binary64))
(fma.f64 x (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 x (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) x #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) x #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) x #s(literal -1 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (-.f64 (.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64))))) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) x #s(literal -1 binary64))
(fma.f64 (pow.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1 binary64)) x #s(literal -1 binary64))
(neg.f64 (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
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(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (fma.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (.f64 x (fma.f64 x (.f64 x x) x)) (-.f64 (.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64))))) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x)))
(neg.f64 (neg.f64 (*.f64 x x)))
(/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(*.f64 x (neg.f64 (neg.f64 x)))
(.f64 x (.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 x (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)))
(.f64 x (pow.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 x x)))
(.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (neg.f64 (neg.f64 x)) x)
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) x)
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) x)
(.f64 (pow.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1 binary64)) x)

eval79.0ms (0.7%)

Memory: 10.3MiB live, 158.1MiB allocated
Compiler: Compiled 16 958 to 1 786 computations (89.5% saved)

prune99.0ms (0.9%)

Memory

6.4MiB live, 208.0MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	539	9	548
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	540	9	549

Accuracy

100.0%

Counts

549 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.2%	(/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))))
	60.2%	(.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))))) (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)))))
	72.2%	(.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
▶	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
▶	60.8%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
▶	48.8%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
	91.2%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
▶	87.8%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
	76.3%	#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))

Compiler

Compiled 308 to 164 computations (46.8% saved)

simplify277.0ms (2.6%)

Memory

0.4MiB live, 254.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
cost-diff	192	(.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
cost-diff	320	(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
cost-diff	8256	(/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (neg (- 1 (* x x))) (*.f64 x x))
cost-diff	0	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
cost-diff	0	(E.f64)
cost-diff	0	(/.f64 #s(literal 1 binary64) (E.f64))
cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
cost-diff	0	(E.f64)
cost-diff	0	(/.f64 #s(literal 1 binary64) (E.f64))
cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))

Rules

5 200×	`lower-fma.f32`
5 192×	`lower-fma.f64`
2 872×	`lower-*.f32`
2 856×	`lower-*.f64`
1 566×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	235
0	55	213
1	115	184
2	244	183
3	577	183
4	1405	181
5	3564	180
6	5990	178
7	6956	178
0	8063	174

Stop Event

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

Calls

Call 1

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

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

localize110.0ms (1%)

Memory

12.5MiB live, 175.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
accuracy	0.021325904760301943	(exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
accuracy	0.03125	(.f64 x (.f64 x (*.f64 x x)))
accuracy	0.046875	(.f64 x (.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0.02181625976844202	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
accuracy	29.884500510062157	#s(approx (neg (- 1 (* x x))) (*.f64 x x))
accuracy	0.00390625	(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
accuracy	0.0078125	(fma.f64 x (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
accuracy	0.7233172858043397	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
accuracy	31.968125611060692	(E.f64)
accuracy	0	(/.f64 #s(literal 1 binary64) (E.f64))
accuracy	0.7895667585368129	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
accuracy	31.968125611060692	(E.f64)
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.02181625976844202	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))

Samples

30.0ms	132×	0	exit
28.0ms	124×	0	valid

Compiler

Compiled 225 to 31 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 18.0ms (44.6% of total)

ival-exp: 8.0ms (19.8% of total)

ival-div: 5.0ms (12.4% of total)

ival-add: 4.0ms (9.9% of total)

ival-e: 2.0ms (5% of total)

ival-sub: 1.0ms (2.5% of total)

ival-neg: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

-12.3MiB live, 26.6MiB allocated

Counts

19 → 204

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1))
1.0ms	x	@	inf	(/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1)))))
1.0ms	x	@	0	(/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1)))))
0.0ms	x	@	inf	(* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1))
0.0ms	x	@	-inf	(* x (* x x))

simplify368.0ms (3.5%)

Memory

20.1MiB live, 443.7MiB allocated

Algorithm

1×	egg-herbie

Rules

30 346×	`lower-fma.f64`
30 346×	`lower-fma.f32`
5 258×	`lower-*.f64`
5 258×	`lower-*.f32`
3 816×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	2005
1	450	1929
2	1228	1800
3	3657	1768
0	8359	1616

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 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)
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (- (* -1/2 (exp -1)) (* -1 (exp -1)))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (- (+ (* -1/2 (exp -1)) (* (pow x 2) (- (* 1/6 (exp -1)) (+ (exp -1) (* -1 (exp -1)))))) (* -1 (exp -1)))))))
(/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))
(- (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 3/2 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (* 3/2 (/ 1 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))) (* 13/6 (/ 1 (* (pow x 6) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))))
(/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))
(- (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 3/2 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (* 3/2 (/ 1 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))) (* 13/6 (/ 1 (* (pow x 6) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))))
-1
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1)
(/ -1 (pow x 2))
(/ (- (/ 1 (pow x 2)) 1) (pow x 2))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 (pow x 2)) 1) (pow x 2))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(* -1 (pow x 4))
(* (pow x 4) (- (pow x 2) 1))
(* (pow x 4) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))
(* (pow x 4) (- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))))
(* (pow x 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))))
(* (pow x 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* -1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* -1/2 (exp -1)) (* 1/6 (* (pow x 2) (exp -1))))))))
1
(- 1 (/ 1 (pow x 2)))
(- (+ 1 (/ 3/2 (pow x 4))) (/ 1 (pow x 2)))
(- (+ 1 (/ 3/2 (pow x 4))) (+ (/ 1 (pow x 2)) (* 13/6 (/ 1 (pow x 6)))))
1
(- 1 (/ 1 (pow x 2)))
(- (+ 1 (/ 3/2 (pow x 4))) (/ 1 (pow x 2)))
(- (+ 1 (/ 3/2 (pow x 4))) (+ (/ 1 (pow x 2)) (* 13/6 (/ 1 (pow x 6)))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
1
(+ 1 (* -1 (pow x 4)))
(+ 1 (* (pow x 4) (- (pow x 2) 1)))
(+ 1 (* (pow x 4) (- (* (pow x 2) (+ 1 (* -1/2 (pow x 2)))) 1)))
(exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))
(exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))
(exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))
(exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))
(exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))
(exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))
(exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))
(exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (pow x 2) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))
(/ 1 (pow x 2))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
(/ 1 (pow x 2))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))

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

rewrite282.0ms (2.7%)

Memory

15.6MiB live, 359.8MiB allocated

Rules

6 562×	`lower-fma.f32`
6 554×	`lower-fma.f64`
3 734×	`lower-*.f32`
3 718×	`lower-*.f64`
3 356×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	186
0	55	152
1	207	129
2	1327	129
0	8496	126

Stop Event

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

Counts

19 → 861

Calls

Call 1

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

Outputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))))
(exp.f64 (.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x x)))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (.f64 x x))))) (exp.f64 (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (.f64 x x)))))) (-.f64 (/.f64 #s(literal 0 binary64) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (.f64 x x))))) (exp.f64 (fma.f64 x x #s(literal -1 binary64)))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (.f64 x x))))) (exp.f64 (fma.f64 x x #s(literal -1 binary64)))))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (exp.f64 (.f64 x x))))
(neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 x x))))) (exp.f64 (fma.f64 x x #s(literal -1 binary64))))))
(neg.f64 (.f64 (exp.f64 (.f64 x x)) (/.f64 #s(literal -1 binary64) (E.f64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (*.f64 x (neg.f64 x))))
(/.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (.f64 x x)))))
(/.f64 (exp.f64 (*.f64 x x)) (E.f64))
(/.f64 (neg.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (.f64 x x))))))
(/.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) x) (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)))) (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (exp.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 x x))))) (exp.f64 (fma.f64 x x #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))))
(*.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (.f64 x (neg.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (pow.f64 (exp.f64 (.f64 x (neg.f64 x))) #s(literal -1 binary64)))
(.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (exp.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) (E.f64)))
(.f64 (neg.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 x x))))))
(.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (E.f64)))
(*.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) x) (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (pow.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (exp.f64 #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64))))))
(.f64 (/.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64))))
(.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (.f64 x x))))
(-.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x (.f64 x (.f64 x (neg.f64 x))))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
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(.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (.f64 x x)))) (pow.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (pow.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (.f64 x x)))))
(.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (exp.f64 #s(literal -1/3 binary64)) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (pow.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (exp.f64 (neg.f64 x)) (/.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (exp.f64 (neg.f64 x)) (/.f64 (/.f64 (.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))))
(.f64 (pow.f64 (exp.f64 (.f64 x (.f64 x (.f64 x (neg.f64 x))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 (.f64 x (.f64 x (.f64 x (neg.f64 x))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 (.f64 x (neg.f64 x)) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x (.f64 x (*.f64 x (neg.f64 x))) #s(literal 1 binary64)))
(/.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)) (fma.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)))
(/.f64 (fma.f64 x (.f64 x (.f64 x (neg.f64 x))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (neg.f64 x)))) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 x x))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1 binary64))))
(.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))))
(.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (*.f64 x (neg.f64 x))) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (fma.f64 x (.f64 x (*.f64 x (neg.f64 x))) (fma.f64 x x #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)))) (-.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) (.f64 x x)))
(.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))

eval241.0ms (2.3%)

Memory: 8.6MiB live, 371.7MiB allocated
Compiler: Compiled 30 539 to 2 732 computations (91.1% saved)

prune172.0ms (1.6%)

Memory

-13.4MiB live, 309.8MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	1 164	12	1 176
Fresh	2	2	4
Picked	2	3	5
Done	0	0	0
Total	1 168	17	1 185

Accuracy

100.0%

Counts

1 185 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
▶	100.0%	(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
	60.2%	(.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))))) (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)))))
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	60.8%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
▶	76.3%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
▶	91.2%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
	87.8%	#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
▶	87.8%	#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	87.8%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
	53.8%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
▶	87.8%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
✓	48.8%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
	87.8%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
	91.2%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
	42.3%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
	42.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (.f64 x x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))

Compiler

Compiled 547 to 289 computations (47.2% saved)

simplify181.0ms (1.7%)

Memory

-30.2MiB live, 245.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (E.f64))
cost-diff	0	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
cost-diff	320	(fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
cost-diff	0	(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
cost-diff	0	(/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64))
cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
cost-diff	704	(fma.f64 x (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64)))
cost-diff	0	(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
cost-diff	0	(fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64))
cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
cost-diff	0	(E.f64)
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
cost-diff	0	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
cost-diff	0	(+.f64 x #s(literal -1 binary64))
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(exp.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff	6464	(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))

Rules

9 008×	`lower-fma.f32`
8 996×	`lower-fma.f64`
3 178×	`lower-*.f32`
3 166×	`lower-*.f64`
1 452×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	326
0	72	300
1	145	272
2	320	270
3	880	270
4	2773	262
5	6146	262
0	8068	251

Stop Event

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

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64))
(fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))
x
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(.f64 #s(literal 1/2 binary64) (.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
(fma.f64 x (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64)))
x
(/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(.f64 #s(literal 1/2 binary64) (.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
(E.f64)
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
x
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)
(fma.f64 x x #s(literal 1 binary64))

Outputs
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64))
(/.f64 (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (E.f64))
(fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
x
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (E.f64)))
(fma.f64 x (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(/.f64 (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (E.f64))
x
(/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) (E.f64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
(E.f64)
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
x
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)
(fma.f64 x x #s(literal 1 binary64))

localize222.0ms (2.1%)

Memory

-11.7MiB live, 217.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.046875	(.f64 x (.f64 x x))
accuracy	0.140625	(*.f64 x #s(literal 1/6 binary64))
accuracy	0.72310634673142	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
accuracy	31.968125611061073	(E.f64)
accuracy	0.00390625	(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
accuracy	0.12890625	(/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64))
accuracy	0.7233172858043397	#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
accuracy	31.968125611061073	(E.f64)
accuracy	0.00390625	(/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64))
accuracy	0.0078125	(fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))
accuracy	0.7233172858043397	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
accuracy	31.968125611061073	(E.f64)
accuracy	0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0.0078125	(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
accuracy	0.723537806355127	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
accuracy	31.968125611061073	(E.f64)
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0	(+.f64 x #s(literal -1 binary64))
accuracy	0.00390625	(exp.f64 (+.f64 x #s(literal 1 binary64)))
accuracy	0.014003759768442016	(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))

Samples

91.0ms	132×	0	exit
50.0ms	124×	0	valid

Compiler

Compiled 291 to 43 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

const: 22.0ms (24.5% of total)

ival-add: 21.0ms (23.4% of total)

ival-mult: 18.0ms (20.1% of total)

ival-div: 9.0ms (10% of total)

ival-exp: 8.0ms (8.9% of total)

ival-pow: 6.0ms (6.7% of total)

ival-e: 2.0ms (2.2% of total)

ival-sub: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

21 → 228

Calls

Call 1

Inputs
#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (exp.f64 (+.f64 x #s(literal 1 binary64))) (patch (exp.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal -1 binary64)) (patch (+.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) (patch #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) (patch (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (E.f64) (patch (E.f64) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) (patch #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)) (patch (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (patch (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #<representation binary64>) () ())
#s(alt (fma.f64 x (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))) (patch (fma.f64 x (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64)))) (patch #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (patch (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (patch #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (E.f64)) (patch (/.f64 #s(literal 1 binary64) (E.f64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())

Outputs
#s(alt (exp -1) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (exp -1))) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) (taylor 0 x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* (+ 1 x) (- x 1))) (taylor inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* (+ 1 x) (- x 1))) (taylor inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* (+ 1 x) (- x 1))) (taylor inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* (+ 1 x) (- x 1))) (taylor inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x))))) (taylor -inf x) (#s(alt (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp 1) (taylor 0 x) (#s(alt (exp.f64 (+.f64 x #s(literal 1 binary64))) (patch (exp.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp 1) (* x (exp 1))) (taylor 0 x) (#s(alt (exp.f64 (+.f64 x #s(literal 1 binary64))) (patch (exp.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp 1) (* x (+ (exp 1) (* 1/2 (* x (exp 1)))))) (taylor 0 x) (#s(alt (exp.f64 (+.f64 x #s(literal 1 binary64))) (patch (exp.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp 1) (* x (+ (exp 1) (* x (+ (* 1/6 (* x (exp 1))) (* 1/2 (exp 1))))))) (taylor 0 x) (#s(alt (exp.f64 (+.f64 x #s(literal 1 binary64))) (patch (exp.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (+ 1 x)) (taylor inf x) (#s(alt (exp.f64 (+.f64 x #s(literal 1 binary64))) (patch (exp.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (+ 1 x)) (taylor inf x) (#s(alt (exp.f64 (+.f64 x #s(literal 1 binary64))) (patch (exp.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (+ 1 x)) (taylor inf x) (#s(alt (exp.f64 (+.f64 x #s(literal 1 binary64))) (patch (exp.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (+ 1 x)) (taylor inf x) (#s(alt (exp.f64 (+.f64 x #s(literal 1 binary64))) (patch (exp.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (- 1 (* -1 x))) (taylor -inf x) (#s(alt (exp.f64 (+.f64 x #s(literal 1 binary64))) (patch (exp.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (- 1 (* -1 x))) (taylor -inf x) (#s(alt (exp.f64 (+.f64 x #s(literal 1 binary64))) (patch (exp.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (- 1 (* -1 x))) (taylor -inf x) (#s(alt (exp.f64 (+.f64 x #s(literal 1 binary64))) (patch (exp.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (- 1 (* -1 x))) (taylor -inf x) (#s(alt (exp.f64 (+.f64 x #s(literal 1 binary64))) (patch (exp.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp -1) (taylor 0 x) (#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (patch #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (exp -1))) (taylor 0 x) (#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (patch #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (- (* -1/2 (exp -1)) (* -1 (exp -1))))))) (taylor 0 x) (#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (patch #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (- (+ (* -1/2 (exp -1)) (* (pow x 2) (- (* 1/6 (exp -1)) (+ (exp -1) (* -1 (exp -1)))))) (* -1 (exp -1))))))) (taylor 0 x) (#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (patch #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (taylor inf x) (#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (patch #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (taylor inf x) (#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (patch #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 3/2 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (taylor inf x) (#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (patch #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (* 3/2 (/ 1 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))) (* 13/6 (/ 1 (* (pow x 6) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))))) (taylor inf x) (#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (patch #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (patch #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (taylor -inf x) (#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (patch #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 3/2 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (taylor -inf x) (#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (patch #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (* 3/2 (/ 1 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))) (* 13/6 (/ 1 (* (pow x 6) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))))) (taylor -inf x) (#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (patch #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (+ (* x x) 1) (E))
1.0ms	x	@	0	(pow (exp (+ x 1)) (+ x -1))
1.0ms	x	@	inf	(* (/ 1 (E)) (+ (* (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1)))
0.0ms	x	@	inf	(+ (* x (/ (+ (* x (* 1/2 (* x x))) x) (E))) (/ 1 (E)))
0.0ms	x	@	-inf	(* x 1/6)

simplify597.0ms (5.6%)

Memory

18.2MiB live, 404.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16 288×	`lower-fma.f64`
16 288×	`lower-fma.f32`
3 466×	`lower-*.f64`
3 466×	`lower-*.f32`
2 598×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	2448
1	608	2204
2	1598	2104
3	4516	2094
0	8644	1879

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 223

Calls

Call 1

Inputs
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (* (+ 1 x) (- x 1)))
(exp (* (+ 1 x) (- x 1)))
(exp (* (+ 1 x) (- x 1)))
(exp (* (+ 1 x) (- x 1)))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp 1)
(+ (exp 1) (* x (exp 1)))
(+ (exp 1) (* x (+ (exp 1) (* 1/2 (* x (exp 1))))))
(+ (exp 1) (* x (+ (exp 1) (* x (+ (* 1/6 (* x (exp 1))) (* 1/2 (exp 1)))))))
(exp (+ 1 x))
(exp (+ 1 x))
(exp (+ 1 x))
(exp (+ 1 x))
(exp (- 1 (* -1 x)))
(exp (- 1 (* -1 x)))
(exp (- 1 (* -1 x)))
(exp (- 1 (* -1 x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (- (* -1/2 (exp -1)) (* -1 (exp -1)))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (- (+ (* -1/2 (exp -1)) (* (pow x 2) (- (* 1/6 (exp -1)) (+ (exp -1) (* -1 (exp -1)))))) (* -1 (exp -1)))))))
(/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))
(- (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 3/2 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (* 3/2 (/ 1 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))) (* 13/6 (/ 1 (* (pow x 6) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))))
(/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))
(- (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 3/2 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (* 3/2 (/ 1 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))) (* 13/6 (/ 1 (* (pow x 6) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(/ (pow x 2) (E))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/ (pow x 2) (E))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
x
(* x (+ 1 (* 1/2 (pow x 2))))
(* x (+ 1 (* 1/2 (pow x 2))))
(* x (+ 1 (* 1/2 (pow x 2))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/2 (/ 1 (pow x 2))))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(/ x (E))
(* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))
(* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))
(* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))
(* 1/2 (/ (pow x 3) (E)))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* 1/2 (/ (pow x 3) (E)))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(* 1/6 (pow x 6))
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))))
(* 1/6 (pow x 6))
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (- (* -1/2 (exp -1)) (* -1 (exp -1)))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (- (+ (* -1/2 (exp -1)) (* (pow x 2) (- (* 1/6 (exp -1)) (+ (exp -1) (* -1 (exp -1)))))) (* -1 (exp -1)))))))
(/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))
(- (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 3/2 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (* 3/2 (/ 1 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))) (* 13/6 (/ 1 (* (pow x 6) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))))
(/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))
(- (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 3/2 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (* 3/2 (/ 1 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))) (* 13/6 (/ 1 (* (pow x 6) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 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)

Outputs
(exp -1)
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (exp -1) (* (pow x 2) (exp -1)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(fma.f64 x (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (E.f64)))
(exp (* (+ 1 x) (- x 1)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* (+ 1 x) (- x 1)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* (+ 1 x) (- x 1)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* (+ 1 x) (- x 1)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp (* -1 (* (+ 1 (* -1 x)) (- 1 (* -1 x)))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp 1)
(E.f64)
(+ (exp 1) (* x (exp 1)))
(fma.f64 x (E.f64) (E.f64))
(+ (exp 1) (* x (+ (exp 1) (* 1/2 (* x (exp 1))))))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/2 binary64) (E.f64)) (E.f64)) (E.f64))
(+ (exp 1) (* x (+ (exp 1) (* x (+ (* 1/6 (* x (exp 1))) (* 1/2 (exp 1)))))))
(fma.f64 x (fma.f64 (*.f64 x (E.f64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (E.f64)) (E.f64))
(exp (+ 1 x))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(exp (+ 1 x))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(exp (+ 1 x))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(exp (+ 1 x))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(exp (- 1 (* -1 x)))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(exp (- 1 (* -1 x)))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(exp (- 1 (* -1 x)))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(exp (- 1 (* -1 x)))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
x
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(exp -1)
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (exp -1) (* (pow x 2) (exp -1)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (- (* -1/2 (exp -1)) (* -1 (exp -1)))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (- (+ (* -1/2 (exp -1)) (* (pow x 2) (- (* 1/6 (exp -1)) (+ (exp -1) (* -1 (exp -1)))))) (* -1 (exp -1)))))))
(fma.f64 x (.f64 x (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (E.f64)))
(/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))
(exp.f64 (/.f64 (.f64 (.f64 x (*.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64))))
(- (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(-.f64 (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 3/2 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(-.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) (.f64 (.f64 x (.f64 x x)) x)) (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (* 3/2 (/ 1 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))) (* 13/6 (/ 1 (* (pow x 6) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))))
(fma.f64 (/.f64 (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))) #s(literal -13/6 binary64) (-.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) (.f64 (.f64 x (.f64 x x)) x)) (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))))
(/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))
(exp.f64 (/.f64 (.f64 (.f64 x (*.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64))))
(- (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(-.f64 (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 3/2 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(-.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) (.f64 (.f64 x (.f64 x x)) x)) (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (* 3/2 (/ 1 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))) (* 13/6 (/ 1 (* (pow x 6) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))))
(fma.f64 (/.f64 (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))) #s(literal -13/6 binary64) (-.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) (.f64 (.f64 x (.f64 x x)) x)) (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))))
(/ 1 (E))
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
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(exp.f64 (/.f64 (.f64 (.f64 x (*.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64))))
(- (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(-.f64 (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 3/2 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(-.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) (.f64 (.f64 x (.f64 x x)) x)) (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (* 3/2 (/ 1 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))) (* 13/6 (/ 1 (* (pow x 6) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))))
(fma.f64 (/.f64 (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))) #s(literal -13/6 binary64) (-.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) (.f64 (.f64 x (.f64 x x)) x)) (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))))
(/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))
(exp.f64 (/.f64 (.f64 (.f64 x (*.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64))))
(- (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(-.f64 (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 3/2 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(-.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) (.f64 (.f64 x (.f64 x x)) x)) (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (* 3/2 (/ 1 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))) (* 13/6 (/ 1 (* (pow x 6) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))))
(fma.f64 (/.f64 (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))) #s(literal -13/6 binary64) (-.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) (.f64 (.f64 x (.f64 x x)) x)) (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (exp.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) x) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x))))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 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))

rewrite455.0ms (4.3%)

Memory

-20.3MiB live, 512.5MiB allocated

Rules

4 820×	`lower-*.f32`
4 808×	`lower-*.f64`
4 456×	`lower-fma.f32`
4 444×	`lower-fma.f64`
3 918×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	261
0	72	241
1	306	191
2	2421	191
0	8778	183

Stop Event

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

Counts

21 → 973

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(fma.f64 x x #s(literal 1 binary64))
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64))
(fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(fma.f64 x (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
(/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (E.f64))
(*.f64 x #s(literal 1/6 binary64))
(.f64 x (.f64 x x))

Outputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (exp.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (exp.f64 (*.f64 x x)) (E.f64))
(/.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(.f64 (exp.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))))
(.f64 (exp.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))) (exp.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)))
(.f64 (exp.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (exp.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) (E.f64)))
(.f64 (exp.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))) (exp.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))))
(.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 (exp.f64 x) (exp.f64 #s(literal 2/3 binary64))) (+.f64 x #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (+.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 (exp.f64 x) (sqrt.f64 (E.f64))) (+.f64 x #s(literal -1 binary64))) (pow.f64 (sqrt.f64 (E.f64)) (+.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 (E.f64) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 x) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (exp.f64 x) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (E.f64) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (E.f64) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (.f64 (exp.f64 x) (exp.f64 #s(literal 2/3 binary64))) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (.f64 (exp.f64 x) (sqrt.f64 (E.f64))) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (.f64 (exp.f64 x) (exp.f64 #s(literal 2/3 binary64))) (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (.f64 (exp.f64 x) (sqrt.f64 (E.f64))) (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (E.f64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (exp.f64 (.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (E.f64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(.f64 (exp.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))) (exp.f64 (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))))
(.f64 (exp.f64 (.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (exp.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (+.f64 x #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (E.f64)))
(/.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (exp.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(pow.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(pow.f64 (exp.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (E.f64) (exp.f64 x))
(*.f64 (exp.f64 x) (E.f64))
(.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (E.f64))
(.f64 (.f64 (exp.f64 x) (exp.f64 #s(literal 2/3 binary64))) (exp.f64 #s(literal 1/3 binary64)))
(.f64 (.f64 (exp.f64 x) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64)))
(log.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (log.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 (log.f64 (*.f64 (exp.f64 x) (exp.f64 #s(literal 2/3 binary64)))) #s(literal 1/3 binary64))
(+.f64 (log.f64 (*.f64 (exp.f64 x) (sqrt.f64 (E.f64)))) #s(literal 1/2 binary64))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
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(/.f64 (-.f64 (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)))) (.f64 (-.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x x #s(literal 1 binary64))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (.f64 (-.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))))))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x x #s(literal 1 binary64))) (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))))) (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x)))))))))
(.f64 (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
(exp.f64 #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (E.f64)))
(/.f64 #s(literal 1 binary64) (E.f64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (E.f64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (E.f64)))
(/.f64 (exp.f64 #s(literal -2/3 binary64)) (exp.f64 #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64)))
(pow.f64 (E.f64) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) #s(literal -3 binary64))
(pow.f64 (*.f64 (E.f64) (E.f64)) #s(literal -1/2 binary64))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 (E.f64)) #s(literal -2 binary64))
(pow.f64 (neg.f64 (neg.f64 (E.f64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (E.f64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (E.f64))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (E.f64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64))
(*.f64 (exp.f64 #s(literal -1/3 binary64)) (exp.f64 #s(literal -2/3 binary64)))
(*.f64 (exp.f64 #s(literal -2/3 binary64)) (exp.f64 #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))))
(*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) #s(literal 1 binary64)))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(.f64 (.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (.f64 x (*.f64 x x)))

eval193.0ms (1.8%)

Memory: 16.7MiB live, 432.6MiB allocated
Compiler: Compiled 45 878 to 3 253 computations (92.9% saved)

prune252.0ms (2.4%)

Memory

22.4MiB live, 611.2MiB allocated

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	1 426	20	1 446
Fresh	6	3	9
Picked	3	2	5
Done	0	3	3
Total	1 435	28	1 463

Accuracy

100.0%

Counts

1 463 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
	98.4%	(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
▶	100.0%	(.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
	60.2%	(.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))))) (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)))))
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	60.8%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
	91.2%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
	65.9%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) (E.f64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64))))
	91.2%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
✓	76.3%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
▶	31.0%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
	76.3%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
▶	91.1%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x x) 1) #s(literal 1 binary64)))))
▶	91.2%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
	91.2%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)) x (fma.f64 x x #s(literal 1 binary64)))))
	91.2%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
	91.2%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ ( (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
	45.9%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))) (E.f64))))
	76.3%	#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x #s(approx (/ (+ (* x (* 1/2 (* x x))) x) (E)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
	87.8%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
	53.8%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))))
	87.8%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (E.f64)))
	42.5%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) (E.f64)))
	42.3%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) x))) (E.f64)))
✓	48.8%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
▶	42.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))))
	42.3%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))

Compiler

Compiled 938 to 499 computations (46.8% saved)

simplify268.0ms (2.5%)

Memory

-45.4MiB live, 257.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (E.f64))
cost-diff	0	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
cost-diff	320	(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 x x) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))
cost-diff	0	(E.f64)
cost-diff	0	(/.f64 #s(literal 1 binary64) (E.f64))
cost-diff	0	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x x) 1) #s(literal 1 binary64)))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x x) 1) #s(literal 1 binary64))))
cost-diff	0	(.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))
cost-diff	0	(.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))
cost-diff	0	#s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))
cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* x x) 1) (*.f64 x x))
cost-diff	0	(/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))
cost-diff	0	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
cost-diff	0	(exp.f64 x)
cost-diff	0	(pow.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
cost-diff	0	(.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
cost-diff	320	(*.f64 (exp.f64 x) #s(literal 1 binary64))

Rules

11 384×	`lower-fma.f32`
11 374×	`lower-fma.f64`
3 780×	`lower-*.f32`
3 756×	`lower-*.f64`
1 090×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	460
0	91	423
1	186	384
2	404	379
3	1043	379
4	2653	370
5	6024	370
0	8093	360

Stop Event

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

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
(pow.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))
(E.f64)
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
(/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))
#s(approx (+ (* x x) 1) (*.f64 x x))
(*.f64 x x)
x
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))))
#s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))
(.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))
x
(.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(E.f64)
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x x) 1) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x x) 1) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
x
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 x x) (fma.f64 x x #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
x
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 x x)
(fma.f64 x x #s(literal 1 binary64))

Outputs
(.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
(pow.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 x) (+.f64 x #s(literal -1 binary64)))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
(exp.f64 x)
x
#s(literal 1 binary64)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))
(E.f64)
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
(/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))
#s(approx (+ (* x x) 1) (*.f64 x x))
(*.f64 x x)
x
(E.f64)
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))))
#s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))
#s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64))))
(.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))
(.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (E.f64)))
x
(.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))
(/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) (E.f64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(E.f64)
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x x) 1) #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))) (E.f64)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x x) 1) #s(literal 1 binary64))))
(/.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))) (E.f64))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
(fma.f64 x (.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
x
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (E.f64))
(/.f64 #s(literal 1 binary64) (E.f64))
#s(literal 1 binary64)
(E.f64)
(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 x x) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
x
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 x x)
(fma.f64 x x #s(literal 1 binary64))

localize219.0ms (2.1%)

Memory

6.1MiB live, 244.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))
accuracy	0.140625	(*.f64 x #s(literal 1/6 binary64))
accuracy	0.72310634673142	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
accuracy	31.968125611060778	(E.f64)
accuracy	0.140625	(*.f64 x #s(literal 1/6 binary64))
accuracy	0.7150815570346682	#s(approx (+ (* x x) 1) #s(literal 1 binary64))
accuracy	0.72310634673142	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x x) 1) #s(literal 1 binary64)))))
accuracy	31.968125611060778	(E.f64)
accuracy	0.0859375	(.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))
accuracy	0.7233172858043397	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))))
accuracy	29.344612134366788	#s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))
accuracy	31.968125611060778	(E.f64)
accuracy	0.0078125	(/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))
accuracy	0.723537806355127	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
accuracy	29.479384610073776	#s(approx (+ (* x x) 1) (*.f64 x x))
accuracy	31.968125611060778	(E.f64)
accuracy	0.0078125	(.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
accuracy	0.01953125	(pow.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
accuracy	0.05753010850575268	(pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))
accuracy	31.968125611060778	(E.f64)

Samples

83.0ms	132×	0	exit
78.0ms	124×	0	valid

Compiler

Compiled 376 to 52 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-mult: 62.0ms (46.7% of total)

ival-div: 34.0ms (25.6% of total)

ival-pow: 11.0ms (8.3% of total)

ival-add: 9.0ms (6.8% of total)

ival-exp: 8.0ms (6% of total)

const: 5.0ms (3.8% of total)

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

ival-sub: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

22 → 240

Calls

Call 1

Inputs
#s(alt (.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) (patch (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (.f64 x x)) (E.f64))) (patch #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* x x) 1) (.f64 x x)) (E.f64)) (patch (/.f64 #s(approx (+ ( x x) 1) (*.f64 x x)) (E.f64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x x) 1) (.f64 x x)) (patch #s(approx (+ ( x x) 1) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))) (patch #s(approx (exp (neg (- 1 ( x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))) (patch #s(approx (/ (+ ( x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))) (patch (.f64 x (.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))) #<representation binary64>) () ())
#s(alt (.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))) (patch (.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x x) 1) #s(literal 1 binary64)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x x) 1) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x x) 1) #s(literal 1 binary64))))) (patch #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x x) 1) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (E.f64)) (patch (/.f64 #s(literal 1 binary64) (E.f64)) #<representation binary64>) () ())
#s(alt (E.f64) (patch (E.f64) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (patch (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 x x) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) (patch #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* x x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 x) (#s(alt (.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor inf x) (#s(alt (.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp x) (taylor -inf x) (#s(alt (.f64 (exp.f64 x) #s(literal 1 binary64)) (patch (.f64 (exp.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (E)) (taylor 0 x) (#s(alt (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) (patch (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (/ (log (E)) (E)) (/ 1 (E)))) (/ 1 (E))) (taylor 0 x) (#s(alt (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) (patch (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (+ (* x (+ (* -1 (/ (log (E)) (E))) (+ (* 1/2 (/ (pow (log (E)) 2) (E))) (* 3/2 (/ 1 (E)))))) (/ (log (E)) (E))) (/ 1 (E)))) (/ 1 (E))) (taylor 0 x) (#s(alt (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) (patch (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (+ (* x (+ (* -1 (/ (log (E)) (E))) (+ (* 1/2 (/ (pow (log (E)) 2) (E))) (+ (* 3/2 (/ 1 (E))) (* x (- (+ (* -1/2 (/ (pow (log (E)) 2) (E))) (+ (* 1/6 (/ (pow (log (E)) 3) (E))) (* 3/2 (/ (log (E)) (E))))) (* 7/6 (/ 1 (E))))))))) (/ (log (E)) (E))) (/ 1 (E)))) (/ 1 (E))) (taylor 0 x) (#s(alt (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) (patch (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* x (- x 1))) (exp (* (log (E)) (- x 1)))) (taylor inf x) (#s(alt (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) (patch (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* x (- x 1))) (exp (* (log (E)) (- x 1)))) (taylor inf x) (#s(alt (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) (patch (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* x (- x 1))) (exp (* (log (E)) (- x 1)))) (taylor inf x) (#s(alt (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) (patch (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* x (- x 1))) (exp (* (log (E)) (- x 1)))) (taylor inf x) (#s(alt (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) (patch (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 (* x (+ 1 (* -1 x))))) (exp (* -1 (* (log (E)) (+ 1 (* -1 x)))))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) (patch (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 (* x (+ 1 (* -1 x))))) (exp (* -1 (* (log (E)) (+ 1 (* -1 x)))))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) (patch (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 (* x (+ 1 (* -1 x))))) (exp (* -1 (* (log (E)) (+ 1 (* -1 x)))))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) (patch (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 (* x (+ 1 (* -1 x))))) (exp (* -1 (* (log (E)) (+ 1 (* -1 x)))))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) (patch (.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* 3/2 x) 1))) (taylor 0 x) (#s(alt (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ 3/2 (* -7/6 x))) 1))) (taylor 0 x) (#s(alt (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (- x 1))) (taylor inf x) (#s(alt (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (- x 1))) (taylor inf x) (#s(alt (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (- x 1))) (taylor inf x) (#s(alt (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* x (- x 1))) (taylor inf x) (#s(alt (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* x (+ 1 (* -1 x))))) (taylor -inf x) (#s(alt (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* x (+ 1 (* -1 x))))) (taylor -inf x) (#s(alt (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* x (+ 1 (* -1 x))))) (taylor -inf x) (#s(alt (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* x (+ 1 (* -1 x))))) (taylor -inf x) (#s(alt (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (patch (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 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 (exp -1) (taylor 0 x) (#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (.f64 x x)) (E.f64))) (patch #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (exp -1))) (taylor 0 x) (#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (.f64 x x)) (E.f64))) (patch #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (- (* -1/2 (exp -1)) (* -1 (exp -1))))))) (taylor 0 x) (#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (.f64 x x)) (E.f64))) (patch #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (- (+ (* -1/2 (exp -1)) (* (pow x 2) (- (* 1/6 (exp -1)) (+ (exp -1) (* -1 (exp -1)))))) (* -1 (exp -1))))))) (taylor 0 x) (#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (.f64 x x)) (E.f64))) (patch #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (taylor inf x) (#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (.f64 x x)) (E.f64))) (patch #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (taylor inf x) (#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (.f64 x x)) (E.f64))) (patch #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 3/2 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (taylor inf x) (#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (.f64 x x)) (E.f64))) (patch #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (* 3/2 (/ 1 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))) (* 13/6 (/ 1 (* (pow x 6) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))))) (taylor inf x) (#s(alt #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (.f64 x x)) (E.f64))) (patch #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())

Calls

60 calls:

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

simplify491.0ms (4.6%)

Memory

4.8MiB live, 365.6MiB allocated

Algorithm

1×	egg-herbie

Rules

23 922×	`lower-fma.f64`
23 922×	`lower-fma.f32`
3 856×	`lower-*.f64`
3 856×	`lower-*.f32`
2 480×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	3299
1	768	2749
2	2105	2450
3	6647	2450
0	8437	2226

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
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 (E))
(+ (* x (- (/ (log (E)) (E)) (/ 1 (E)))) (/ 1 (E)))
(+ (* x (- (+ (* x (+ (* -1 (/ (log (E)) (E))) (+ (* 1/2 (/ (pow (log (E)) 2) (E))) (* 3/2 (/ 1 (E)))))) (/ (log (E)) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* x (- (+ (* x (+ (* -1 (/ (log (E)) (E))) (+ (* 1/2 (/ (pow (log (E)) 2) (E))) (+ (* 3/2 (/ 1 (E))) (* x (- (+ (* -1/2 (/ (pow (log (E)) 2) (E))) (+ (* 1/6 (/ (pow (log (E)) 3) (E))) (* 3/2 (/ (log (E)) (E))))) (* 7/6 (/ 1 (E))))))))) (/ (log (E)) (E))) (/ 1 (E)))) (/ 1 (E)))
(* (exp (* x (- x 1))) (exp (* (log (E)) (- x 1))))
(* (exp (* x (- x 1))) (exp (* (log (E)) (- x 1))))
(* (exp (* x (- x 1))) (exp (* (log (E)) (- x 1))))
(* (exp (* x (- x 1))) (exp (* (log (E)) (- x 1))))
(* (exp (* -1 (* x (+ 1 (* -1 x))))) (exp (* -1 (* (log (E)) (+ 1 (* -1 x))))))
(* (exp (* -1 (* x (+ 1 (* -1 x))))) (exp (* -1 (* (log (E)) (+ 1 (* -1 x))))))
(* (exp (* -1 (* x (+ 1 (* -1 x))))) (exp (* -1 (* (log (E)) (+ 1 (* -1 x))))))
(* (exp (* -1 (* x (+ 1 (* -1 x))))) (exp (* -1 (* (log (E)) (+ 1 (* -1 x))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 3/2 x) 1)))
(+ 1 (* x (- (* x (+ 3/2 (* -7/6 x))) 1)))
(exp (* x (- x 1)))
(exp (* x (- x 1)))
(exp (* x (- x 1)))
(exp (* x (- x 1)))
(exp (* -1 (* x (+ 1 (* -1 x)))))
(exp (* -1 (* x (+ 1 (* -1 x)))))
(exp (* -1 (* x (+ 1 (* -1 x)))))
(exp (* -1 (* x (+ 1 (* -1 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)
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (- (* -1/2 (exp -1)) (* -1 (exp -1)))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (- (+ (* -1/2 (exp -1)) (* (pow x 2) (- (* 1/6 (exp -1)) (+ (exp -1) (* -1 (exp -1)))))) (* -1 (exp -1)))))))
(/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))
(- (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 3/2 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (* 3/2 (/ 1 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))) (* 13/6 (/ 1 (* (pow x 6) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))))
(/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))
(- (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 3/2 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (* 3/2 (/ 1 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))) (* 13/6 (/ 1 (* (pow x 6) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(/ (pow x 2) (E))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/ (pow x 2) (E))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 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)
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1)))))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(/ (pow x 2) (E))
(* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))
(* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))
(* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* 1/2 (/ (pow x 4) (E)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(/ x (E))
(* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))
(* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))
(* x (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E))))
(* 1/2 (/ (pow x 3) (E)))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* 1/2 (/ (pow x 3) (E)))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(* (pow x 3) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (- (* -1/2 (exp -1)) (* -1 (exp -1)))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (- (+ (* -1/2 (exp -1)) (* (pow x 2) (- (* 1/6 (exp -1)) (+ (exp -1) (* -1 (exp -1)))))) (* -1 (exp -1)))))))
(/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))
(- (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 3/2 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (* 3/2 (/ 1 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))) (* 13/6 (/ 1 (* (pow x 6) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))))
(/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))
(- (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 3/2 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (* 3/2 (/ 1 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))) (* 13/6 (/ 1 (* (pow x 6) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(* 1/6 (/ (pow x 6) (E)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(* 1/6 (pow x 6))
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))))
(* 1/6 (pow x 6))
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))))
(exp -1)
(+ (exp -1) (* (pow x 2) (exp -1)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (- (* -1/2 (exp -1)) (* -1 (exp -1)))))))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (- (+ (* -1/2 (exp -1)) (* (pow x 2) (- (* 1/6 (exp -1)) (+ (exp -1) (* -1 (exp -1)))))) (* -1 (exp -1)))))))
(/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))
(- (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 3/2 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (* 3/2 (/ 1 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))) (* 13/6 (/ 1 (* (pow x 6) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))))
(/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))
(- (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 3/2 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (* 3/2 (/ 1 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))) (* 13/6 (/ 1 (* (pow x 6) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))))
(/ 1 (E))
(+ (/ 1 (E)) (/ (* x (log (E))) (E)))
(+ (* x (+ (* 1/2 (/ (* x (pow (log (E)) 2)) (E))) (/ (log (E)) (E)))) (/ 1 (E)))
(+ (* x (+ (* x (+ (* 1/6 (/ (* x (pow (log (E)) 3)) (E))) (* 1/2 (/ (pow (log (E)) 2) (E))))) (/ (log (E)) (E)))) (/ 1 (E)))
(exp (* (log (E)) (- x 1)))
(exp (* (log (E)) (- x 1)))
(exp (* (log (E)) (- x 1)))
(exp (* (log (E)) (- x 1)))
(exp (* -1 (* (log (E)) (+ 1 (* -1 x)))))
(exp (* -1 (* (log (E)) (+ 1 (* -1 x)))))
(exp (* -1 (* (log (E)) (+ 1 (* -1 x)))))
(exp (* -1 (* (log (E)) (+ 1 (* -1 x)))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)

Outputs
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 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 (E))
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (* x (- (/ (log (E)) (E)) (/ 1 (E)))) (/ 1 (E)))
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (* x (- (+ (* x (+ (* -1 (/ (log (E)) (E))) (+ (* 1/2 (/ (pow (log (E)) 2) (E))) (* 3/2 (/ 1 (E)))))) (/ (log (E)) (E))) (/ 1 (E)))) (/ 1 (E)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (* x (- (+ (* x (+ (* -1 (/ (log (E)) (E))) (+ (* 1/2 (/ (pow (log (E)) 2) (E))) (+ (* 3/2 (/ 1 (E))) (* x (- (+ (* -1/2 (/ (pow (log (E)) 2) (E))) (+ (* 1/6 (/ (pow (log (E)) 3) (E))) (* 3/2 (/ (log (E)) (E))))) (* 7/6 (/ 1 (E))))))))) (/ (log (E)) (E))) (/ 1 (E)))) (/ 1 (E)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(* (exp (* x (- x 1))) (exp (* (log (E)) (- x 1))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(* (exp (* x (- x 1))) (exp (* (log (E)) (- x 1))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(* (exp (* x (- x 1))) (exp (* (log (E)) (- x 1))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(* (exp (* x (- x 1))) (exp (* (log (E)) (- x 1))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(* (exp (* -1 (* x (+ 1 (* -1 x))))) (exp (* -1 (* (log (E)) (+ 1 (* -1 x))))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(* (exp (* -1 (* x (+ 1 (* -1 x))))) (exp (* -1 (* (log (E)) (+ 1 (* -1 x))))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(* (exp (* -1 (* x (+ 1 (* -1 x))))) (exp (* -1 (* (log (E)) (+ 1 (* -1 x))))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(* (exp (* -1 (* x (+ 1 (* -1 x))))) (exp (* -1 (* (log (E)) (+ 1 (* -1 x))))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
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(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (E.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (E.f64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (E.f64)))
(exp -1)
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (exp -1) (* (pow x 2) (exp -1)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (- (* -1/2 (exp -1)) (* -1 (exp -1)))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (- (+ (* -1/2 (exp -1)) (* (pow x 2) (- (* 1/6 (exp -1)) (+ (exp -1) (* -1 (exp -1)))))) (* -1 (exp -1)))))))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (/.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))
(exp.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(- (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(-.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 3/2 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(-.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (* 3/2 (/ 1 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))) (* 13/6 (/ 1 (* (pow x 6) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))))
(-.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (/.f64 #s(literal 13/6 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x))))
(/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))
(exp.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(- (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(-.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 3/2 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(-.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (* 3/2 (/ 1 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))) (* 13/6 (/ 1 (* (pow x 6) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))))
(-.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (/.f64 #s(literal 13/6 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x))))
(/ 1 (E))
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (/.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(* 1/6 (/ (pow x 6) (E)))
(/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (E.f64))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (E.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (E.f64) (*.f64 x x)))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (E.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (E.f64) (*.f64 x x))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (E.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (E.f64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (E.f64)))
(* 1/6 (/ (pow x 6) (E)))
(/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (E.f64))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (E.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (E.f64) (*.f64 x x)))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (E.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (E.f64) (*.f64 x x))))))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (E.f64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (E.f64)) (/.f64 #s(literal 1/2 binary64) (.f64 (E.f64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (E.f64)))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2)))))
(fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(fma.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(* 1/6 (pow x 6))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64))
(* 1/6 (pow x 6))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64))
(exp -1)
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (exp -1) (* (pow x 2) (exp -1)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (- (* -1/2 (exp -1)) (* -1 (exp -1)))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64)))
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (- (+ (* -1/2 (exp -1)) (* (pow x 2) (- (* 1/6 (exp -1)) (+ (exp -1) (* -1 (exp -1)))))) (* -1 (exp -1)))))))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (/.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))
(exp.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(- (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(-.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 3/2 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(-.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (* 3/2 (/ 1 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))) (* 13/6 (/ 1 (* (pow x 6) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))))
(-.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (/.f64 #s(literal 13/6 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x))))
(/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))
(exp.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(- (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(-.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (/ 3/2 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))))) (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))
(-.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(- (+ (/ 1 (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2)))))) (* 3/2 (/ 1 (* (pow x 4) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))) (+ (/ 1 (* (pow x 2) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))) (* 13/6 (/ 1 (* (pow x 6) (exp (* -1 (/ (pow x 4) (+ 1 (pow x 2))))))))))
(-.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (/.f64 #s(literal 13/6 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))) (.f64 x x))))
(/ 1 (E))
(/.f64 #s(literal 1 binary64) (E.f64))
(+ (/ 1 (E)) (/ (* x (log (E))) (E)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (E.f64))
(+ (* x (+ (* 1/2 (/ (* x (pow (log (E)) 2)) (E))) (/ (log (E)) (E)))) (/ 1 (E)))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (* x (+ (* x (+ (* 1/6 (/ (* x (pow (log (E)) 3)) (E))) (* 1/2 (/ (pow (log (E)) 2) (E))))) (/ (log (E)) (E)))) (/ 1 (E)))
(fma.f64 x (*.f64 (/.f64 x (E.f64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (E.f64)))
(exp (* (log (E)) (- x 1)))
(exp.f64 (+.f64 x #s(literal -1 binary64)))
(exp (* (log (E)) (- x 1)))
(exp.f64 (+.f64 x #s(literal -1 binary64)))
(exp (* (log (E)) (- x 1)))
(exp.f64 (+.f64 x #s(literal -1 binary64)))
(exp (* (log (E)) (- x 1)))
(exp.f64 (+.f64 x #s(literal -1 binary64)))
(exp (* -1 (* (log (E)) (+ 1 (* -1 x)))))
(exp.f64 (+.f64 x #s(literal -1 binary64)))
(exp (* -1 (* (log (E)) (+ 1 (* -1 x)))))
(exp.f64 (+.f64 x #s(literal -1 binary64)))
(exp (* -1 (* (log (E)) (+ 1 (* -1 x)))))
(exp.f64 (+.f64 x #s(literal -1 binary64)))
(exp (* -1 (* (log (E)) (+ 1 (* -1 x)))))
(exp.f64 (+.f64 x #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))

rewrite329.0ms (3.1%)

Memory

2.1MiB live, 318.0MiB allocated

Rules

4 578×	`lower-*.f32`
4 554×	`lower-*.f64`
4 146×	`lower-/.f32`
4 140×	`lower-/.f64`
3 798×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	351
0	91	316
1	367	249
2	2682	249
0	9016	238

Stop Event

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

Counts

22 → 837

Calls

Call 1

Inputs
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
(pow.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(exp.f64 x)
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
(/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))
#s(approx (+ (* x x) 1) (*.f64 x x))
(*.f64 x x)
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))))
#s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))
(.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))
(.f64 x (/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x x) 1) #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x x) 1) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (E.f64))
(E.f64)
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 x x) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64)))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
(*.f64 x #s(literal 1/6 binary64))

Outputs
(exp.f64 x)
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))))
(exp.f64 (fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)) (fma.f64 x x (neg.f64 x))))
(exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(pow.f64 (.f64 (exp.f64 (+.f64 x x)) (.f64 (E.f64) (E.f64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (.f64 (.f64 (E.f64) (E.f64)) (exp.f64 (+.f64 x x))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (exp.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (exp.f64 (fma.f64 x x (neg.f64 x))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))) (exp.f64 (fma.f64 x x (neg.f64 x))))
(.f64 (exp.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (E.f64) x) (exp.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x x (neg.f64 x)))))
(.f64 (exp.f64 (.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64)))))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal -1 binary64)))) (exp.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (fma.f64 x x (neg.f64 x)))))
(.f64 (exp.f64 (.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (fma.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64)))))
(.f64 (exp.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (exp.f64 (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (exp.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(.f64 (exp.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (exp.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (E.f64)))
(.f64 (exp.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))) (exp.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal -1 binary64)))))
(.f64 (exp.f64 (fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)) (.f64 x x))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)) (.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))) (exp.f64 (.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (.f64 (exp.f64 x) (exp.f64 #s(literal 2/3 binary64))) (+.f64 x #s(literal -1 binary64))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -1 binary64)))))
(.f64 (pow.f64 (.f64 (exp.f64 x) (sqrt.f64 (E.f64))) (+.f64 x #s(literal -1 binary64))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal -1 binary64)))))
(exp.f64 (fma.f64 x x (neg.f64 x)))
(exp.f64 (.f64 x (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (exp.f64 (.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 (+.f64 x x))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (exp.f64 x) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 x) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 x) (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 x) (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (+.f64 x x)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))))
(pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x x)) (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) x)
(*.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x x (neg.f64 x))))
(*.f64 (exp.f64 (fma.f64 x x (neg.f64 x))) #s(literal 1 binary64))
(.f64 (exp.f64 (fma.f64 x x (neg.f64 x))) (pow.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (exp.f64 (fma.f64 x x (neg.f64 x))) (pow.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (exp.f64 (.f64 x x)) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (neg.f64 x)) (exp.f64 (.f64 x x)))
(.f64 (exp.f64 (.f64 x (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (fma.f64 x x (neg.f64 x))))
(.f64 (pow.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (fma.f64 x x (neg.f64 x))))
(exp.f64 x)
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
(exp.f64 (.f64 (log.f64 (/.f64 (E.f64) #s(approx (+ ( x x) 1) (*.f64 x x)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (neg.f64 (E.f64))))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* x x) 1) (*.f64 x x))) (E.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64))
(/.f64 (neg.f64 #s(approx (+ (* x x) 1) (*.f64 x x))) (neg.f64 (E.f64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* x x) 1) (*.f64 x x)))) (neg.f64 (neg.f64 (E.f64))))
(/.f64 (.f64 #s(approx (+ ( x x) 1) (*.f64 x x)) #s(literal 1 binary64)) (E.f64))
(/.f64 (.f64 #s(approx (+ ( x x) 1) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (E.f64)))
(/.f64 (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) #s(literal 1 binary64)) (E.f64))
(/.f64 (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (exp.f64 #s(literal 2/3 binary64))) (exp.f64 #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* x x) 1) (*.f64 x x))))) (neg.f64 (neg.f64 (neg.f64 (E.f64)))))
(/.f64 (neg.f64 (.f64 #s(approx (+ ( x x) 1) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (E.f64)))
(/.f64 (neg.f64 (.f64 #s(approx (+ ( x x) 1) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (E.f64))))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (E.f64)))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (exp.f64 #s(literal 2/3 binary64)))) (neg.f64 (exp.f64 #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (sqrt.f64 (E.f64)))) (neg.f64 (sqrt.f64 (E.f64))))
(pow.f64 (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( x x) 1) (*.f64 x x)) (E.f64)))
(.f64 #s(approx (+ ( x x) 1) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (E.f64)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ ( x x) 1) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( x x) 1) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (neg.f64 #s(approx (+ ( x x) 1) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)))
(.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 (/.f64 (exp.f64 #s(literal 1/3 binary64)) #s(approx (+ ( x x) 1) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) #s(approx (+ ( x x) 1) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (+ (* x x) 1) (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 x (.f64 x #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) (E.f64))))
#s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) (E.f64)))
(/.f64 (.f64 x x) (/.f64 (E.f64) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) (E.f64))
(/.f64 (.f64 x (neg.f64 x)) (neg.f64 (/.f64 (E.f64) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x))) (neg.f64 (E.f64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64))
(/.f64 (.f64 (.f64 x x) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 (E.f64)))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 (E.f64)))
(/.f64 (neg.f64 (.f64 (.f64 x x) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (E.f64))))
(.f64 x (/.f64 (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (E.f64)))
(.f64 (.f64 x x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)) (*.f64 x x))
(.f64 (/.f64 (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (E.f64)) x)
(.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64)))
(/.f64 x (/.f64 (E.f64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (E.f64) (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x))))
(/.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64))) x) (E.f64))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (E.f64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) x) (/.f64 (E.f64) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
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(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (E.f64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))))
(pow.f64 (pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(pow.f64 (pow.f64 (*.f64 (E.f64) (E.f64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (pow.f64 (E.f64) x))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (pow.f64 (E.f64) (.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (E.f64) x) (/.f64 #s(literal 1 binary64) (E.f64)))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal -1 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal -1 binary64)))))
(.f64 (exp.f64 (.f64 #s(literal 2/3 binary64) (+.f64 x #s(literal -1 binary64)))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -1 binary64)))))
(.f64 (exp.f64 (.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -1 binary64)))) (exp.f64 (*.f64 #s(literal 2/3 binary64) (+.f64 x #s(literal -1 binary64)))))
(.f64 (exp.f64 (.f64 #s(literal 2/3 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (exp.f64 (.f64 #s(literal 2/3 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (E.f64) #s(literal 4/3 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (.f64 (E.f64) (sqrt.f64 (E.f64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (E.f64) (.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64)))
(.f64 (pow.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))) (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (.f64 #s(literal 2/3 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (E.f64) (E.f64)) (.f64 (E.f64) (E.f64)))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (exp.f64 (.f64 #s(literal 2/3 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (.f64 (E.f64) (sqrt.f64 (E.f64))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (exp.f64 (.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (exp.f64 (.f64 #s(literal 2/3 binary64) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (exp.f64 (.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(.f64 (exp.f64 (.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)

eval248.0ms (2.3%)

Memory: -22.5MiB live, 217.3MiB allocated
Compiler: Compiled 43 748 to 2 888 computations (93.4% saved)

prune244.0ms (2.3%)

Memory

21.3MiB live, 264.0MiB allocated

Pruning

35 alts after pruning (27 fresh and 8 done)

	Pruned	Kept	Total
New	1 333	13	1 346
Fresh	4	14	18
Picked	2	3	5
Done	0	5	5
Total	1 339	35	1 374

Accuracy

100.0%

Counts

1 374 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
	98.4%	(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
	100.0%	(*.f64 (pow.f64 (exp.f64 x) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
	60.2%	(.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))))) (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)))))
✓	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
✓	60.8%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
	91.1%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 #s(approx (+ ( x x) 1) #s(literal 1 binary64)) (E.f64))))
	91.2%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
	65.9%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) (E.f64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64))))
	91.2%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
	91.2%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
	91.1%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))) (E.f64)))
✓	76.3%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
✓	31.0%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
	91.1%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))))))
	76.3%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
	31.0%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
	91.2%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))))
✓	91.1%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x x) 1) #s(literal 1 binary64)))))
	91.2%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
	42.5%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) (E.f64))))
	45.9%	#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))) (E.f64))))
	76.3%	#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x #s(approx (/ (+ (* x (* 1/2 (* x x))) x) (E)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
	53.8%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))))
	87.8%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (E.f64)))
	42.3%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) x))) (E.f64)))
✓	48.8%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
	42.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64))))
	42.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x x) (/.f64 (E.f64) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
	42.3%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))) (E.f64)))))
	42.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
✓	42.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))))
	31.0%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x #s(approx ( x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))))))
	42.3%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))

Compiler

Compiled 1 499 to 481 computations (67.9% saved)

regimes72.0ms (0.7%)

Memory

-9.7MiB live, 107.8MiB allocated

Counts

55 → 1

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x #s(approx ( x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x #s(approx (/ (+ (* x (* 1/2 (* x x))) x) (E)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) x))) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (.f64 x x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x x) (/.f64 (E.f64) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x x) 1) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ ( (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)) x (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 #s(approx (+ ( x x) 1) #s(literal 1 binary64)) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) (E.f64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64))))
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))))) (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))

Outputs
(*.f64 (pow.f64 (exp.f64 x) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))

Calls

5 calls:

16.0ms	x
15.0ms	(*.f64 x x)
14.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
13.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
12.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
100.0%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
100.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes70.0ms (0.7%)

Memory

-8.8MiB live, 110.6MiB allocated

Counts

53 → 1

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x #s(approx ( x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x #s(approx (/ (+ (* x (* 1/2 (* x x))) x) (E)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) x))) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (.f64 x x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x x) (/.f64 (E.f64) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x x) 1) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ ( (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)) x (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 #s(approx (+ ( x x) 1) #s(literal 1 binary64)) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) (E.f64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64))))
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (exp.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (exp.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64))))) (exp.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 x (.f64 x x) x) #s(literal 1 binary64)))))

Outputs
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))

Calls

5 calls:

16.0ms	x
15.0ms	(*.f64 x x)
12.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
12.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
11.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
100.0%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
100.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes62.0ms (0.6%)

Memory

13.0MiB live, 91.7MiB allocated

Counts

49 → 1

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x #s(approx ( x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x #s(approx (/ (+ (* x (* 1/2 (* x x))) x) (E)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) x))) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (.f64 x x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x x) (/.f64 (E.f64) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x x) 1) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ ( (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)) x (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 #s(approx (+ ( x x) 1) #s(literal 1 binary64)) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) (E.f64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64))))
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Outputs
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Calls

5 calls:

14.0ms	x
12.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
12.0ms	(*.f64 x x)
11.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
10.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
100.0%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
100.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes62.0ms (0.6%)

Memory

7.1MiB live, 92.4MiB allocated

Counts

48 → 1

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x #s(approx ( x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x #s(approx (/ (+ (* x (* 1/2 (* x x))) x) (E)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) x))) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (.f64 x x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x x) (/.f64 (E.f64) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x x) 1) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ ( (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)) x (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 #s(approx (+ ( x x) 1) #s(literal 1 binary64)) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) (E.f64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64))))
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Outputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))

Calls

5 calls:

13.0ms	x
13.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
12.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
12.0ms	(*.f64 x x)
11.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
100.0%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
100.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes60.0ms (0.6%)

Memory

-11.9MiB live, 105.7MiB allocated

Counts

46 → 1

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x #s(approx ( x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x #s(approx (/ (+ (* x (* 1/2 (* x x))) x) (E)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) x))) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (.f64 x x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x x) (/.f64 (E.f64) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x x) 1) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ ( (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)) x (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 #s(approx (+ ( x x) 1) #s(literal 1 binary64)) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) (E.f64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64))))
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))

Outputs
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))

Calls

5 calls:

13.0ms	x
12.0ms	(*.f64 x x)
11.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
11.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
10.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

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

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes57.0ms (0.5%)

Memory

-12.1MiB live, 109.6MiB allocated

Counts

44 → 2

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x #s(approx ( x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x #s(approx (/ (+ (* x (* 1/2 (* x x))) x) (E)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) x))) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (.f64 x x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x x) (/.f64 (E.f64) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x x) 1) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ ( (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)) x (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 #s(approx (+ ( x x) 1) #s(literal 1 binary64)) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) (E.f64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64))))

Outputs

#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) (E.f64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64))))

#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))))))

Calls

5 calls:

12.0ms	x
11.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
11.0ms	(*.f64 x x)
11.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
9.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
93.7%	2	`x`
91.2%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
93.7%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
93.7%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
93.7%	2	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes46.0ms (0.4%)

Memory

14.0MiB live, 94.7MiB allocated

Counts

43 → 2

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x #s(approx ( x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x #s(approx (/ (+ (* x (* 1/2 (* x x))) x) (E)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) x))) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (.f64 x x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x x) (/.f64 (E.f64) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x x) 1) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ ( (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)) x (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 #s(approx (+ ( x x) 1) #s(literal 1 binary64)) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal -1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)))))

Outputs

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

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

Calls

4 calls:

12.0ms	x
11.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
10.0ms	(*.f64 x x)
10.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

Accuracy	Segments	Branch
93.6%	2	`x`
93.6%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
93.6%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
93.6%	2	`(*.f64 x x)`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes55.0ms (0.5%)

Memory

-12.6MiB live, 105.5MiB allocated

Counts

41 → 1

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x #s(approx ( x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x #s(approx (/ (+ (* x (* 1/2 (* x x))) x) (E)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) x))) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (.f64 x x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x x) (/.f64 (E.f64) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x))) #s(approx (+ ( x x) 1) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(approx (+ ( (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)) x (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 #s(approx (+ ( x x) 1) #s(literal 1 binary64)) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))))

Outputs

#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))

Calls

5 calls:

12.0ms	x
11.0ms	(*.f64 x x)
10.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
10.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
9.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
91.2%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
91.2%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
91.2%	1	`x`
91.2%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
91.2%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes38.0ms (0.4%)

Memory

24.2MiB live, 65.9MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x #s(approx ( x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x #s(approx (/ (+ (* x (* 1/2 (* x x))) x) (E)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) x))) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (.f64 x x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x x) (/.f64 (E.f64) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))))

Outputs

#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))) (E.f64)))

Calls

5 calls:

8.0ms	x
7.0ms	(*.f64 x x)
7.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
7.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
7.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

Accuracy	Segments	Branch
91.1%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
91.1%	1	`x`
91.1%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
91.1%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
91.1%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes36.0ms (0.3%)

Memory

-21.3MiB live, 55.8MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x #s(approx ( x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) #s(approx (+ (* x x) 1) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x #s(approx (/ (+ (* x (* 1/2 (* x x))) x) (E)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (/.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x (.f64 x x)) x))) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (.f64 x x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x (.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(approx (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (/.f64 (.f64 x x) (/.f64 (E.f64) (fma.f64 x (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))

Outputs

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

#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) x))) (E.f64))))

Calls

5 calls:

8.0ms	(*.f64 x x)
8.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
7.0ms	x
6.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
6.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
91.5%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
91.5%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
91.5%	2	`x`
91.5%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
91.5%	2	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes30.0ms (0.3%)

Memory

13.2MiB live, 52.8MiB allocated

Counts

22 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	x
6.0ms	(*.f64 x x)
6.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
5.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
5.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
87.8%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
87.8%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
87.8%	1	`x`
87.8%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
87.8%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes30.0ms (0.3%)

Memory

-5.5MiB live, 44.5MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

11.0ms	x
5.0ms	(*.f64 x x)
5.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
4.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
4.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
87.8%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
87.8%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
87.8%	2	`x`
87.8%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
87.8%	2	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes18.0ms (0.2%)

Memory

-8.1MiB live, 31.7MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

4.0ms	x
4.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
3.0ms	(*.f64 x x)
3.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
3.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
87.8%	2	`x`
87.8%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
87.8%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
87.8%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
87.8%	2	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory

-13.0MiB live, 26.8MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	x
3.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
3.0ms	(*.f64 x x)
3.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
3.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

Accuracy	Segments	Branch
76.3%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
76.3%	1	`x`
76.3%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
76.3%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
76.3%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

23.3MiB live, 23.3MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))

Calls

5 calls:

2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
2.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
2.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
76.3%	1	`x`
76.3%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
76.3%	1	`(*.f64 x x)`
76.3%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
76.3%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-22.5MiB live, 17.2MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))

#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))))))

#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 #s(approx (+ (* x x) 1) (*.f64 x x)) (E.f64)))

Outputs

#s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (*.f64 x #s(approx (* x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64))))))

#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))

Calls

5 calls:

2.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
2.0ms	x
2.0ms	(*.f64 x x)
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
76.2%	2	`x`
76.2%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
76.2%	2	`(*.f64 x x)`
76.2%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
76.2%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))

Outputs
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))

Calls

5 calls:

1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
1.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

Accuracy	Segments	Branch
48.8%	1	`x`
48.8%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
48.8%	1	`(*.f64 x x)`
48.8%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
48.8%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`

Compiler

Compiled 27 to 18 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.4177126915697964e+304	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.659665947069161e+152	2.337931678003866e+158

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.773149922262559e-11	431.59121874144216

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.773149922262559e-11	431.59121874144216

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.773149922262559e-11	431.59121874144216

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-430.59121874144216	0.9999999999822685

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify14.0ms (0.1%)

Memory

-19.4MiB live, 21.0MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`*-commutative_binary64`
10×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	743
1	170	743
2	176	743
3	180	743
4	182	743

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (pow.f64 (exp.f64 x) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 39999999999999997570142100221458487440161148880469299812763086285292818252052935611373237029762030993747424472224648690314868774970544122120943195363467531099949205766728044164270841012649763623374879210194206396306558730203287330638196449078431799221384139674650289625630417523383839448299617392552574976 binary64)) #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) (E.f64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x #s(approx ( x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64)))))))
(if (<=.f64 (.f64 x x) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal -1 binary64)) (E.f64)))) #s(approx (exp (neg (- 1 ( x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))) (E.f64)))
(if (<=.f64 (.f64 x x) #s(literal 6189700196426901/309485009821345068724781056 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (fma.f64 x #s(approx (/ (+ (* x (* 1/2 (* x x))) x) (E)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (.f64 x x) #s(literal 6189700196426901/309485009821345068724781056 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (fma.f64 x #s(approx (/ (+ (* x (* 1/2 (* x x))) x) (E)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (.f64 x x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))))
(if (<=.f64 (.f64 x x) #s(literal 6189700196426901/309485009821345068724781056 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (fma.f64 x #s(approx (/ (+ (* x (* 1/2 (* x x))) x) (E)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x #s(approx (/ (+ (* x (* 1/2 (* x x))) x) (E)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -400 binary64)) #s(approx (exp (neg (- 1 ( x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x #s(approx ( x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64)))))) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))

Outputs
(*.f64 (pow.f64 (exp.f64 x) (+.f64 x #s(literal -1 binary64))) (pow.f64 (E.f64) (+.f64 x #s(literal -1 binary64))))
(pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 #s(approx (exp (+ x 1)) (E.f64)) (+.f64 x #s(literal -1 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 39999999999999997570142100221458487440161148880469299812763086285292818252052935611373237029762030993747424472224648690314868774970544122120943195363467531099949205766728044164270841012649763623374879210194206396306558730203287330638196449078431799221384139674650289625630417523383839448299617392552574976 binary64)) #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) (E.f64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x #s(approx ( x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64)))))))
(if (<=.f64 (.f64 x x) #s(literal 39999999999999997570142100221458487440161148880469299812763086285292818252052935611373237029762030993747424472224648690314868774970544122120943195363467531099949205766728044164270841012649763623374879210194206396306558730203287330638196449078431799221384139674650289625630417523383839448299617392552574976 binary64)) #s(approx (/ (exp ( -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (E.f64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x #s(approx ( x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64)))))))
(if (<=.f64 (.f64 x x) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) #s(literal -1 binary64)) (.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal -1 binary64)) (E.f64)))) #s(approx (exp (neg (- 1 ( x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 x x) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) (.f64 (E.f64) (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))))) #s(approx (exp (neg (- 1 ( x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (*.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(approx (+ (* x x) 1) #s(literal 1 binary64))) (E.f64)))
(if (<=.f64 (.f64 x x) #s(literal 6189700196426901/309485009821345068724781056 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (fma.f64 x #s(approx (/ (+ (* x (* 1/2 (* x x))) x) (E)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) x))) (E.f64)))))
(if (<=.f64 (.f64 x x) #s(literal 6189700196426901/309485009821345068724781056 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (fma.f64 x #s(approx (/ (+ (* x (* 1/2 (* x x))) x) (E)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) #s(approx (* (/ 1 (E)) (+ (* (+ (* x (* x 1/6)) 1/2) (* x (* x (* x x)))) (+ (* x x) 1))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (E.f64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (.f64 x x) #s(literal 6189700196426901/309485009821345068724781056 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (fma.f64 x #s(approx (/ (+ (* x (* 1/2 (* x x))) x) (E)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (.f64 x x) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (E.f64))))))
(if (<=.f64 (.f64 x x) #s(literal 6189700196426901/309485009821345068724781056 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (fma.f64 x #s(approx (/ (+ (* x (* 1/2 (* x x))) x) (E)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (/ 1 (E)) (+ (* x (+ (* x (* x (* x 1/2))) x)) 1)) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x #s(approx (/ (+ (* x (* 1/2 (* x x))) x) (E)) (/.f64 x (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (/ (exp (* -1 (/ 1 (+ (* x x) 1)))) (exp (* -1 (/ (* x (* x (* x x))) (+ (* x x) 1))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -400 binary64)) #s(approx (exp (neg (- 1 ( x x)))) #s(approx (/ (+ (* x (+ (* x (* 1/2 (* x x))) x)) 1) (E)) (.f64 x #s(approx ( x (/ (+ (* x (* x 1/2)) 1) (E))) (/.f64 x (E.f64)))))) #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))

soundness2.4s (22.4%)

Memory

-0.6MiB live, 840.2MiB allocated

Rules

30 346×	`lower-fma.f64`
30 346×	`lower-fma.f32`
23 922×	`lower-fma.f64`
23 922×	`lower-fma.f32`
16 288×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	3299
1	768	2749
2	2105	2450
3	6647	2450
0	8437	2226
0	32	186
0	55	152
1	207	129
2	1327	129
0	8496	126
0	158	2005
1	450	1929
2	1228	1800
3	3657	1768
0	8359	1616
0	188	2448
1	608	2204
2	1598	2104
3	4516	2094
0	8644	1879
0	6	21
0	10	21
1	37	19
2	227	19
3	1923	19
0	9304	16
0	44	261
0	72	241
1	306	191
2	2421	191
0	8778	183
0	30	254
1	81	241
2	247	237
3	607	234
4	1355	234
5	2041	234
6	3139	234
7	5658	234
0	8384	211
0	58	351
0	91	316
1	367	249
2	2682	249
0	9016	238

Stop Event

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

Compiler

Compiled 801 to 368 computations (54.1% saved)

preprocess75.0ms (0.7%)

Memory: 29.8MiB live, 67.9MiB allocated
Compiler: Compiled 742 to 196 computations (73.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample723.0ms (6.8%)

explain107.0ms (1%)

preprocess255.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify251.0ms (2.4%)

localize25.0ms (0.2%)

series3.0ms (0%)

simplify205.0ms (1.9%)

rewrite518.0ms (4.9%)

eval79.0ms (0.7%)

prune99.0ms (0.9%)

simplify277.0ms (2.6%)

localize110.0ms (1%)

series19.0ms (0.2%)

simplify368.0ms (3.5%)

rewrite282.0ms (2.7%)

eval241.0ms (2.3%)

prune172.0ms (1.6%)

simplify181.0ms (1.7%)

localize222.0ms (2.1%)

series15.0ms (0.1%)

simplify597.0ms (5.6%)

rewrite455.0ms (4.3%)

eval193.0ms (1.8%)

prune252.0ms (2.4%)

simplify268.0ms (2.5%)

localize219.0ms (2.1%)

series15.0ms (0.1%)

simplify491.0ms (4.6%)

rewrite329.0ms (3.1%)

eval248.0ms (2.3%)

prune244.0ms (2.3%)

regimes72.0ms (0.7%)

regimes70.0ms (0.7%)

regimes62.0ms (0.6%)

regimes62.0ms (0.6%)

regimes60.0ms (0.6%)

regimes57.0ms (0.5%)

regimes46.0ms (0.4%)

regimes55.0ms (0.5%)

regimes38.0ms (0.4%)

regimes36.0ms (0.3%)

regimes30.0ms (0.3%)

regimes30.0ms (0.3%)

regimes18.0ms (0.2%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify14.0ms (0.1%)

soundness2.4s (22.4%)

preprocess75.0ms (0.7%)

end0.0ms (0%)

Profiling