Metrics for exp neg sub

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample790.0ms (9.1%)

Memory

-6.0MiB live, 1 292.6MiB allocated

Samples

435.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 226.0ms

ival-exp: 74.0ms (32.8% of total)

ival-mult: 62.0ms (27.5% of total)

ival-sub: 39.0ms (17.3% of total)

ival-neg: 37.0ms (16.4% of total)

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

exact: 4.0ms (1.8% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain116.0ms (1.3%)

Memory

-51.7MiB live, 124.0MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

25.0ms

512×

valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-exp: 4.0ms (29.2% of total)

ival-mult: 4.0ms (29.2% of total)

ival-sub: 2.0ms (14.6% of total)

ival-neg: 2.0ms (14.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess330.0ms (3.8%)

Memory

11.5MiB live, 244.2MiB 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

1.6MiB live, 1.6MiB 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)

simplify129.0ms (1.5%)

Memory

-1.1MiB live, 153.6MiB 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

localize17.0ms (0.2%)

Memory

30.7MiB live, 30.7MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

12.0ms

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 (30.7% of total)

ival-mult: 2.0ms (30.7% of total)

ival-sub: 1.0ms (15.4% of total)

ival-neg: 1.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

-34.0MiB live, 5.2MiB 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 (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 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 (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 (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 (- (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 (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 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 (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 (- (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 (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 -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

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))
1.0ms	x	@	inf	((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))
0.0ms	x	@	-inf	((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))

Time

Variable

Point

Expression

1.0ms

((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))

1.0ms

inf

((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))

0.0ms

-inf

((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x))

simplify208.0ms (2.4%)

Memory

16.8MiB live, 140.4MiB 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	605	234
4	1328	234
5	2025	234
6	3122	234
7	5538	234
0	8219	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)
(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)))))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (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) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (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) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (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)

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

rewrite219.0ms (2.5%)

Memory

7.3MiB live, 169.3MiB 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 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
(.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #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 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64))))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
(.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x)) #s(literal 1 binary64))) (fma.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x)) (-.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (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)))))
(.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))))
(.f64 (neg.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))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))))
(.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)))
(.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))))
(.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)))))
(*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.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 (pow.f64 (/.f64 #s(literal 0 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (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)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 0 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (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 (.f64 (fma.f64 x x #s(literal -1 binary64)) (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) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (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 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.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))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x #s(literal -1 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (*.f64 x x) x) x) (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.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 (.f64 (.f64 (.f64 x x) x) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (.f64 (.f64 (.f64 x x) x) (/.f64 x (fma.f64 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 (.f64 x x) x) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))) (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))))))
(/.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (neg.f64 (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 (neg.f64 (.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64))) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 1 binary64))))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64))))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (-.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)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (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)) (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 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))) (.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 (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 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.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 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (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))))
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(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))))))) (/.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))))))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))) (/.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.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 x) (.f64 x x) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) 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) (.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x 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 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) 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 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x) #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 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) 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 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 (.f64 x x) 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 (log.f64 (neg.f64 (E.f64))) (log.f64 (neg.f64 (exp.f64 (*.f64 x x)))))
(-.f64 (log.f64 (exp.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))) (log.f64 (exp.f64 (.f64 (.f64 (*.f64 x x) x) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))))) (log.f64 (exp.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(-.f64 (log.f64 (neg.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))))) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 (E.f64)) (log.f64 (exp.f64 (*.f64 x x))))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (.f64 (.f64 (*.f64 x x) x) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (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 (.f64 (.f64 (*.f64 x x) 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 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (*.f64 x x) x) (/.f64 x (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 (*.f64 x x) x) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (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)) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(+.f64 (log.f64 (exp.f64 (*.f64 (neg.f64 x) x))) (log.f64 (E.f64)))
(+.f64 (log.f64 (E.f64)) (log.f64 (exp.f64 (*.f64 (neg.f64 x) x))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 (*.f64 x x) x) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (*.f64 (neg.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)) #s(literal 0 binary64))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(log.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) x)
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) x)
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (pow.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)))
(.f64 x (.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 x x) x) x (.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))))
(neg.f64 (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval86.0ms (1%)

Memory: -17.6MiB live, 134.3MiB allocated
Compiler: Compiled 16 958 to 1 781 computations (89.5% saved)

prune107.0ms (1.2%)

Memory

4.5MiB live, 124.6MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	542	6	548
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	543	6	549

Accuracy

100.0%

Counts

549 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
	59.5%	(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
▶	50.6%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
▶	93.0%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
▶	87.4%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
▶	75.2%	#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))

Compiler

Compiled 132 to 74 computations (43.9% saved)

simplify167.0ms (1.9%)

Memory

7.0MiB live, 235.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

22 334×	`lower-fma.f32`
22 320×	`lower-fma.f64`
3 928×	`lower-*.f32`
3 920×	`lower-*.f64`
1 860×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	218
0	46	218
1	95	193
2	194	193
3	498	193
4	1583	187
5	4964	187
0	8134	181

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

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

localize106.0ms (1.2%)

Memory

8.9MiB live, 140.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
accuracy	0.09375	(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy	4.477885646706087	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
accuracy	0	(E.f64)
accuracy	0.0625	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))
accuracy	0.06640625	(.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
accuracy	8.027164685920301	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
accuracy	0	(/.f64 #s(literal 1 binary64) (E.f64))
accuracy	0	(E.f64)
accuracy	0.078125	(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
accuracy	15.872353476906747	#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
accuracy	0	(/.f64 #s(literal 1 binary64) (E.f64))
accuracy	0	(E.f64)
accuracy	31.591038134080314	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
accuracy	0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0	(exp.f64 (fma.f64 x x #s(literal -1 binary64)))

Samples

60.0ms

256×

valid

Compiler

Compiled 188 to 29 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 15.0ms (34.2% of total)

const: 10.0ms (22.8% of total)

ival-add: 8.0ms (18.3% of total)

ival-exp: 4.0ms (9.1% of total)

ival-div: 2.0ms (4.6% of total)

ival-e: 2.0ms (4.6% of total)

ival-sub: 1.0ms (2.3% of total)

ival-neg: 1.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

-15.8MiB live, 21.4MiB allocated

Counts

17 → 180

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((exp (+ (* x x) -1)) (+ (* x x) -1) (exp (neg (- 1 (* x x)))) (/ 1 (E)) (E) (* (+ (* x x) 1) (/ 1 (E))) (exp (neg (- 1 (* x x)))) (+ (* x x) 1) (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (exp (neg (- 1 (* x x)))) (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (+ (* 1/2 (* x x)) 1) (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (exp (neg (- 1 (* x x)))) (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (+ (* 1/6 (* x x)) 1/2))

2.0ms

-inf

((exp (+ (* x x) -1)) (+ (* x x) -1) (exp (neg (- 1 (* x x)))) (/ 1 (E)) (E) (* (+ (* x x) 1) (/ 1 (E))) (exp (neg (- 1 (* x x)))) (+ (* x x) 1) (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (exp (neg (- 1 (* x x)))) (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (+ (* 1/2 (* x x)) 1) (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (exp (neg (- 1 (* x x)))) (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (+ (* 1/6 (* x x)) 1/2))

2.0ms

((exp (+ (* x x) -1)) (+ (* x x) -1) (exp (neg (- 1 (* x x)))) (/ 1 (E)) (E) (* (+ (* x x) 1) (/ 1 (E))) (exp (neg (- 1 (* x x)))) (+ (* x x) 1) (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (exp (neg (- 1 (* x x)))) (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (+ (* 1/2 (* x x)) 1) (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (exp (neg (- 1 (* x x)))) (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (+ (* 1/6 (* x x)) 1/2))

simplify195.0ms (2.2%)

Memory

9.3MiB live, 238.5MiB allocated

Algorithm

1×	egg-herbie

Rules

17 540×	`lower-fma.f64`
17 540×	`lower-fma.f32`
3 998×	`lower-*.f64`
3 998×	`lower-*.f32`
2 158×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1588
1	359	1548
2	990	1444
3	2738	1428
4	5460	1418
5	6834	1418
6	7373	1418
0	8011	1222

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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

rewrite218.0ms (2.5%)

Memory

23.4MiB live, 300.2MiB allocated

Rules

5 936×	`lower-fma.f32`
5 922×	`lower-fma.f64`
4 196×	`lower-/.f32`
4 194×	`lower-/.f64`
3 780×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	188
0	46	176
1	205	166
2	1577	166
0	8369	166

Stop Event

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

Counts

17 → 898

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

Outputs
(*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (E.f64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (exp.f64 #s(literal -2/3 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (exp.f64 #s(literal -1/3 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (pow.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (.f64 (neg.f64 x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) x)) x) (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (.f64 (neg.f64 x) x)))
(.f64 (exp.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) (E.f64)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (pow.f64 (exp.f64 (.f64 (neg.f64 x) x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (.f64 x x)))
(*.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(pow.f64 (exp.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (exp.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))))
(pow.f64 (exp.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (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 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 x x) (*.f64 x x) #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 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64)))) (fma.f64 (.f64 (*.f64 x x) x) x (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) 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 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x 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 (exp.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (exp.f64 (/.f64 (.f64 (.f64 (*.f64 x x) 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 (exp.f64 (+.f64 #s(literal 1 binary64) x)) x) (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (.f64 (.f64 (*.f64 x x) x) x) (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 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (exp.f64 (*.f64 x x)) (E.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 x #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (E.f64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 x x) x) x (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(*.f64 (/.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)) #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 (.f64 (.f64 x x) x) x)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(.f64 (neg.f64 (.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(.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))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (/.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 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #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 (neg.f64 (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)))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x #s(literal 1 binary64)))) (.f64 (/.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))))) (+.f64 (/.f64 (.f64 (.f64 (*.f64 x x) 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 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (/.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))) (.f64 (/.f64 (.f64 (.f64 (*.f64 x x) 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 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (.f64 x x) x) x))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.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 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))) (neg.f64 (fma.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x)))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (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 (neg.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (fma.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 0 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) x))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
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(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
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(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))

eval454.0ms (5.2%)

Memory: -1.2MiB live, 262.5MiB allocated
Compiler: Compiled 36 818 to 2 709 computations (92.6% saved)

prune534.0ms (6.2%)

Memory

-31.7MiB live, 358.0MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	1 268	20	1 288
Fresh	1	0	1
Picked	4	1	5
Done	0	0	0
Total	1 273	21	1 294

Accuracy

100.0%

Counts

1 294 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.5%	(exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x)))
	75.2%	#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
	87.4%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64)))
	57.2%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 x x)) (.f64 x x) #s(literal -1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal -1 binary64)) (E.f64))))
	75.2%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
✓	50.6%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
	75.2%	#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
	68.4%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	68.4%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x))))) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
▶	93.0%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	68.4%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
▶	74.4%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))))
	45.9%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
	45.5%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (E.f64))))
	40.0%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* 1/2 (* x x)) 1) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (E.f64))))
	45.9%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
	45.6%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))))
▶	45.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
	40.3%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 x (E.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
▶	40.0%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x))))
▶	28.0%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64))))

Compiler

Compiled 775 to 400 computations (48.4% saved)

simplify189.0ms (2.2%)

Memory

15.3MiB live, 127.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))))
cost-diff	320	(.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))))
cost-diff	1600	(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))
cost-diff	0	(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
cost-diff	0	(.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))
cost-diff	0	#s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))
cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
cost-diff	0	(.f64 (.f64 x x) x)
cost-diff	0	(.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x))
cost-diff	0	#s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x)))
cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (*.f64 x x) (E.f64))
cost-diff	0	#s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64)))
cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64))))
cost-diff	0	(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
cost-diff	320	(.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))))

Rules

9 228×	`lower-fma.f32`
9 220×	`lower-fma.f64`
3 974×	`lower-*.f32`
3 952×	`lower-*.f64`
2 266×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	450
0	87	410
1	168	359
2	391	342
3	1087	330
4	2664	330
5	7344	330
0	8584	318

Stop Event

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

Calls

Call 1

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

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

localize325.0ms (3.8%)

Memory

-7.7MiB live, 112.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(E.f64)
accuracy	0.078125	(.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))))
accuracy	1.0	(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))
accuracy	15.872353476906747	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))))
accuracy	0.16796875	(.f64 #s(literal 1/6 binary64) (.f64 x x))
accuracy	0.20703125	(/.f64 (*.f64 x x) (E.f64))
accuracy	4.477885646706087	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
accuracy	30.461631981538186	#s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))
accuracy	0.09765625	(.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x))
accuracy	0.19921875	(*.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x)
accuracy	8.027164685920301	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x))))
accuracy	30.394181235319614	#s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x)))
accuracy	0	(E.f64)
accuracy	0.20703125	(/.f64 (*.f64 x x) (E.f64))
accuracy	15.872353476906747	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64))))
accuracy	30.225353913954024	#s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64)))
accuracy	0.04296875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
accuracy	0.09375	(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy	0.24333804643623097	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
accuracy	4.477885646706087	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))

Samples

221.0ms

256×

valid

Compiler

Compiled 311 to 45 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-mult: 106.0ms (70.3% of total)

ival-sqrt: 16.0ms (10.6% of total)

ival-div: 9.0ms (6% of total)

ival-add: 8.0ms (5.3% of total)

const: 3.0ms (2% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory

5.7MiB live, 42.1MiB allocated

Counts

25 → 276

Calls

Call 1

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

Outputs
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (E)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) (patch (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 (E)) (/ (pow x 2) (E))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) (patch (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) (patch (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E))) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) (patch (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ())) ())
#s(alt (exp -1) (taylor 0 x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))) (patch #s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.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 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))) (patch #s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.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 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))) (patch #s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.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 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))) (patch #s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (pow x 4) (E))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x)) (patch (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow x 4) (E))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x)) (patch (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))) (patch #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))) #<representation binary64>) () ())) ())
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#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))) (patch #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))) (patch #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (/ (pow x 6) (E))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))) (patch #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E)))))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))) (patch #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E)))))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))) (patch #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E))))))) (taylor -inf x) (#s(alt #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))) (patch #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (/ (pow x 6) (E))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)) (patch (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (/ (pow x 6) (E))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)) (patch (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (/ (pow x 6) (E))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)) (patch (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (/ (pow x 6) (E))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)) (patch (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (patch (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (patch (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (patch (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (patch (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (E)) (taylor -inf x) (#s(alt (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))) (patch (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))) (patch (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))) (patch (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))) (patch (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))))) (patch #s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))))) (patch #s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))))) (patch #s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))))) #<representation binary64>) () ())) ())
#s(alt (exp (- (pow x 2) 1)) (taylor -inf x) (#s(alt #s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))))) (patch #s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64)))))) #<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 (/ 6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (E))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (E))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (E))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (E))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/6 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

-inf

((/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (exp (neg (- 1 (* x x)))) (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (/ 1 (E))) (/ (* x x) (E)) (* x x) (exp (neg (- 1 (* x x)))) (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (* (* (* x x) x) (* (/ 1/2 (E)) x)) (* (* x x) x) (exp (neg (- 1 (* x x)))) (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (* (* (* 1/6 (* x x)) x) (* (/ (* x x) (E)) x)) (* (* 1/6 (* x x)) x) (* (sqrt (E)) (sqrt (E))) (* (+ (* x x) 1) (/ 1 (* (sqrt (E)) (sqrt (E))))) (exp (neg (- 1 (* x x)))) (+ (* x x) 1) (/ 1 (+ (* 1/6 (* x x)) 1/2)) (+ (* 1/6 (* x x)) 1/2) (E) (* (/ 1/2 (E)) x) (* 1/6 (* x x)))

4.0ms

inf

((/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (exp (neg (- 1 (* x x)))) (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (/ 1 (E))) (/ (* x x) (E)) (* x x) (exp (neg (- 1 (* x x)))) (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (* (* (* x x) x) (* (/ 1/2 (E)) x)) (* (* x x) x) (exp (neg (- 1 (* x x)))) (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (* (* (* 1/6 (* x x)) x) (* (/ (* x x) (E)) x)) (* (* 1/6 (* x x)) x) (* (sqrt (E)) (sqrt (E))) (* (+ (* x x) 1) (/ 1 (* (sqrt (E)) (sqrt (E))))) (exp (neg (- 1 (* x x)))) (+ (* x x) 1) (/ 1 (+ (* 1/6 (* x x)) 1/2)) (+ (* 1/6 (* x x)) 1/2) (E) (* (/ 1/2 (E)) x) (* 1/6 (* x x)))

3.0ms

((/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (exp (neg (- 1 (* x x)))) (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (/ 1 (E))) (/ (* x x) (E)) (* x x) (exp (neg (- 1 (* x x)))) (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (* (* (* x x) x) (* (/ 1/2 (E)) x)) (* (* x x) x) (exp (neg (- 1 (* x x)))) (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (* (* (* 1/6 (* x x)) x) (* (/ (* x x) (E)) x)) (* (* 1/6 (* x x)) x) (* (sqrt (E)) (sqrt (E))) (* (+ (* x x) 1) (/ 1 (* (sqrt (E)) (sqrt (E))))) (exp (neg (- 1 (* x x)))) (+ (* x x) 1) (/ 1 (+ (* 1/6 (* x x)) 1/2)) (+ (* 1/6 (* x x)) 1/2) (E) (* (/ 1/2 (E)) x) (* 1/6 (* x x)))

simplify225.0ms (2.6%)

Memory

12.2MiB live, 247.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16 212×	`lower-fma.f64`
16 212×	`lower-fma.f32`
3 650×	`lower-*.f64`
3 650×	`lower-*.f32`
2 654×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	2266
1	400	2165
2	1112	2055
3	3053	2030
4	5936	2014
5	7117	2014
0	8079	1824

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (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)))
(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)))))))
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)))))))
(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)))))))
(/ 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) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(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)))))))
(/ 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)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 4) (E)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(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)))))))
(/ 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)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(/ 1 (E))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (/ 1 (E)) (/ (pow x 2) (E)))
(+ (/ 1 (E)) (/ (pow x 2) (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)))))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
2
(+ 2 (* -2/3 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/9 (pow x 2)) 2/3)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/9 (* -2/27 (pow x 2)))) 2/3)))
1/2
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(* 1/2 (/ x (E)))
(* 1/2 (/ x (E)))
(* 1/2 (/ x (E)))
(* 1/2 (/ x (E)))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 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 (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(* 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 (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 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) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(* 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)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 4) (E)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(* 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)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(/ (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)))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (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))))
(/ 6 (pow x 2))
(/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/2 (/ x (E)))
(* 1/2 (/ x (E)))
(* 1/2 (/ x (E)))
(* 1/2 (/ x (E)))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 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 (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(* 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 (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 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) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(* 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)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 4) (E)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(* 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)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(/ (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)))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (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))))
(/ 6 (pow x 2))
(/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/2 (/ x (E)))
(* 1/2 (/ x (E)))
(* 1/2 (/ x (E)))
(* 1/2 (/ x (E)))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 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)))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.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 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(+ (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 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x 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) (+ 1 (* 1/2 (pow x 2)))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.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 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(+ (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 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.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))
(+ (/ 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) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x 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) (* 1/2 (* (pow x 2) (exp -1))))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(+ (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 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.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)))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(* 1/2 (/ (pow x 4) (E)))
(.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (/ (pow x 4) (E)))
(.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (/ (pow x 4) (E)))
(.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (/ (pow x 4) (E)))
(.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) (.f64 x #s(literal 1/2 binary64)))
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) 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) (* 1/2 (* (pow x 2) (exp -1))))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(+ (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 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.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))
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(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(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)))
(* 1/2 (/ (pow x 4) (E)))
(.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) (.f64 x #s(literal 1/2 binary64)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(.f64 (/.f64 x (E.f64)) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))
(* 1/2 (/ (pow x 4) (E)))
(.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (/ (pow x 4) (E)))
(.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (/ (pow x 4) (E)))
(.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) (.f64 x #s(literal 1/2 binary64)))
(* 1/2 (/ (pow x 4) (E)))
(.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) (.f64 x #s(literal 1/2 binary64)))
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(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)))
(* 1/6 (/ (pow x 6) (E)))
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) x) x) (/.f64 x (E.f64)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(.f64 (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (E.f64)) x) (.f64 (*.f64 x x) x))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (+ (/ 1 (* (pow x 4) (E))) (/ 1 (* (pow x 6) (E)))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
(* 1/6 (/ (pow x 6) (E)))
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) x) x) (/.f64 x (E.f64)))
(* 1/6 (/ (pow x 6) (E)))
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) x) x) (/.f64 x (E.f64)))
(* 1/6 (/ (pow x 6) (E)))
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) x) x) (/.f64 x (E.f64)))
(* 1/6 (/ (pow x 6) (E)))
(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) x) x) (/.f64 x (E.f64)))
(* 1/6 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(* 1/6 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(* 1/6 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(* 1/6 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(/ (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))
(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)))
(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))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 54 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 6 binary64)) (/.f64 #s(literal 18 binary64) (.f64 x x))) (*.f64 x x))
(/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 54 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 6 binary64)) (/.f64 #s(literal 18 binary64) (.f64 x x))) (/.f64 #s(literal 162 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/2 (/ x (E)))
(*.f64 (/.f64 x (E.f64)) #s(literal 1/2 binary64))
(* 1/2 (/ x (E)))
(*.f64 (/.f64 x (E.f64)) #s(literal 1/2 binary64))
(* 1/2 (/ x (E)))
(*.f64 (/.f64 x (E.f64)) #s(literal 1/2 binary64))
(* 1/2 (/ x (E)))
(*.f64 (/.f64 x (E.f64)) #s(literal 1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))

rewrite194.0ms (2.2%)

Memory

24.9MiB live, 381.2MiB allocated

Rules

4 634×	`lower-fma.f32`
4 626×	`lower-fma.f64`
4 522×	`lower-/.f32`
4 512×	`lower-/.f64`
4 142×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	384
0	87	310
1	320	299
2	1981	299
0	8573	295

Stop Event

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

Counts

25 → 964

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal 1/12 binary64)))))))
(.f64 (fma.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 x x) #s(literal 1/12 binary64))))))
(.f64 (fma.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
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(/.f64 x (*.f64 (E.f64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (E.f64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (exp.f64 #s(literal -2/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (E.f64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (E.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (E.f64)) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (E.f64)) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (E.f64) #s(literal 2 binary64)) (.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (E.f64) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (E.f64) #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))

eval610.0ms (7%)

Memory: -45.9MiB live, 658.6MiB allocated
Compiler: Compiled 43 369 to 3 938 computations (90.9% saved)

prune313.0ms (3.6%)

Memory

5.6MiB live, 767.3MiB allocated

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	1 706	16	1 722
Fresh	6	9	15
Picked	3	2	5
Done	0	1	1
Total	1 715	28	1 743

Accuracy

100.0%

Counts

1 743 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.5%	(exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x)))
	75.2%	#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
	87.4%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64)))
	57.2%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 x x)) (.f64 x x) #s(literal -1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal -1 binary64)) (E.f64))))
	75.2%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
	75.2%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
✓	50.6%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
	68.4%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	68.4%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x))))) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
▶	93.0%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	68.4%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	45.9%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
	45.9%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
	45.6%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))))
	45.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
	45.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x) x) (/.f64 x (E.f64))) x)))
▶	45.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
▶	45.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
✓	45.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
	45.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) x)))))
	40.0%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/2 binary64) x)) (E.f64))))
	40.3%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 x (E.f64)) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
	40.0%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) (.f64 x #s(literal 1/2 binary64)))))
▶	40.0%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (.f64 x x)) x)))
	40.0%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) x) (.f64 x x))))
✓	28.0%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64))))
	28.0%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
▶	28.0%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x)))

Compiler

Compiled 955 to 491 computations (48.6% saved)

simplify114.0ms (1.3%)

Memory

24.2MiB live, 172.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))
cost-diff	0	#s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))
cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff	0	(.f64 (.f64 (*.f64 x #s(literal 1/6 binary64)) x) x)
cost-diff	0	(.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))
cost-diff	0	#s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))
cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (*.f64 x x))
cost-diff	0	(.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (.f64 x x)) x)
cost-diff	0	#s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (.f64 x x)) x))
cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (.f64 x x)) x)))
cost-diff	0	(/.f64 x (E.f64))
cost-diff	0	(*.f64 (/.f64 x (E.f64)) x)
cost-diff	0	#s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x))
cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x)))
cost-diff	0	(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
cost-diff	320	(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) (.f64 x x) #s(literal 1 binary64))
cost-diff	320	(.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)))

Rules

7 762×	`lower-fma.f32`
7 758×	`lower-fma.f64`
3 470×	`lower-*.f32`
3 446×	`lower-*.f64`
1 718×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	612
0	95	584
1	192	518
2	464	497
3	1256	473
4	3174	473
0	8084	440

Stop Event

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

Calls

Call 1

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

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

localize179.0ms (2.1%)

Memory

1.5MiB live, 247.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2762092866677892	(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy	0.29697080893692884	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy	4.477885646706087	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
accuracy	30.461631981538186	#s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))
accuracy	0.20703125	(/.f64 (*.f64 x x) (E.f64))
accuracy	0.33984375	(*.f64 x #s(literal 1/6 binary64))
accuracy	4.477885646706087	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
accuracy	30.461631981538186	#s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)))
accuracy	0.11328125	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (*.f64 x x))
accuracy	0.19921875	(*.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x)
accuracy	8.027164685920301	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (.f64 x x)) x)))
accuracy	30.394181235319614	#s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (.f64 x x)) x))
accuracy	0.11328125	(*.f64 (/.f64 x (E.f64)) x)
accuracy	0.30078125	(/.f64 x (E.f64))
accuracy	15.872353476906747	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x)))
accuracy	30.225353913954024	#s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x))
accuracy	0.04296875	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
accuracy	0.28630679643623097	(/.f64 #s(literal 6 binary64) (*.f64 x x))
accuracy	4.477885646706087	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
accuracy	30.23535159042704	#s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))

Samples

120.0ms

256×

valid

Compiler

Compiled 373 to 52 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-mult: 64.0ms (64.1% of total)

ival-div: 13.0ms (13% of total)

ival-add: 11.0ms (11% of total)

const: 3.0ms (3% of total)

ival-exp: 2.0ms (2% of total)

ival-e: 2.0ms (2% of total)

ival-sub: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series61.0ms (0.7%)

Memory

-20.5MiB live, 56.7MiB allocated

Counts

27 → 324

Calls

Call 1

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

Outputs
#s(alt (/ 1 (E)) (taylor 0 x) (#s(alt (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) (patch (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/6 (/ (pow x 6) (E))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)) (patch (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (/ (pow x 6) (E))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)) (patch (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (/ (pow x 6) (E))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)) (patch (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (/ (pow x 6) (E))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)) (patch (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 6 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x))) (patch #s(approx (/ 1 (+ ( 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x))) (patch #s(approx (/ 1 (+ ( 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x))) (patch #s(approx (/ 1 (+ ( 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x))) (patch #s(approx (/ 1 (+ ( 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 6 binary64) (.f64 x x)) (patch (/.f64 #s(literal 6 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (E))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (E))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (E))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ x (E))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) #<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 2) (E)) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (E.f64)) (patch (/.f64 (.f64 x x) (E.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (E)) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (E.f64)) (patch (/.f64 (.f64 x x) (E.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (E)) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (E.f64)) (patch (/.f64 (.f64 x x) (E.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (E)) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (E.f64)) (patch (/.f64 (.f64 x x) (E.f64)) #<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 (/ 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 (/ 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 (/ 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>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

((* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (exp (neg (- 1 (* x x)))) (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (/ 1 (E))) (* (/ x (E)) x) (/ x (E)) (exp (neg (- 1 (* x x)))) (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (* (* (* (/ 1/2 (E)) x) (* x x)) x) (* (* (/ 1/2 (E)) x) (* x x)) (exp (neg (- 1 (* x x)))) (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (* (* (* (* x 1/6) x) x) (* (/ (* x x) (E)) x)) (* (* (* x 1/6) x) x) (/ 1 (/ 1 (* x x))) (exp (neg (- 1 (* x x)))) (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (* (* (* 1/6 (/ 1 (/ 1 (* x x)))) x) (* (/ (* x x) (E)) x)) (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/ 6 (* x x)) (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* (/ 1/2 (E)) x) (* x 1/6) (/ (* x x) (E)) (/ 1 (* x x)))

4.0ms

inf

((* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (exp (neg (- 1 (* x x)))) (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (/ 1 (E))) (* (/ x (E)) x) (/ x (E)) (exp (neg (- 1 (* x x)))) (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (* (* (* (/ 1/2 (E)) x) (* x x)) x) (* (* (/ 1/2 (E)) x) (* x x)) (exp (neg (- 1 (* x x)))) (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (* (* (* (* x 1/6) x) x) (* (/ (* x x) (E)) x)) (* (* (* x 1/6) x) x) (/ 1 (/ 1 (* x x))) (exp (neg (- 1 (* x x)))) (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (* (* (* 1/6 (/ 1 (/ 1 (* x x)))) x) (* (/ (* x x) (E)) x)) (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/ 6 (* x x)) (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* (/ 1/2 (E)) x) (* x 1/6) (/ (* x x) (E)) (/ 1 (* x x)))

4.0ms

((* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (exp (neg (- 1 (* x x)))) (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (/ 1 (E))) (* (/ x (E)) x) (/ x (E)) (exp (neg (- 1 (* x x)))) (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (* (* (* (/ 1/2 (E)) x) (* x x)) x) (* (* (/ 1/2 (E)) x) (* x x)) (exp (neg (- 1 (* x x)))) (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (* (* (* (* x 1/6) x) x) (* (/ (* x x) (E)) x)) (* (* (* x 1/6) x) x) (/ 1 (/ 1 (* x x))) (exp (neg (- 1 (* x x)))) (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (* (* (* 1/6 (/ 1 (/ 1 (* x x)))) x) (* (/ (* x x) (E)) x)) (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/ 6 (* x x)) (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* (/ 1/2 (E)) x) (* x 1/6) (/ (* x x) (E)) (/ 1 (* x x)))

simplify181.0ms (2.1%)

Memory

20.0MiB live, 260.0MiB allocated

Algorithm

1×	egg-herbie

Rules

18 746×	`lower-fma.f64`
18 746×	`lower-fma.f32`
3 540×	`lower-*.f64`
3 540×	`lower-*.f32`
2 852×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	2698
1	415	2592
2	1149	2478
3	2743	2426
4	6271	2400
0	8211	2210

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
(/ 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
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (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)))))))
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)))))))
(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)))))))
(/ 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) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (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)))))))
(/ 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)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 3) (E)))
(* 1/2 (/ (pow x 3) (E)))
(* 1/2 (/ (pow x 3) (E)))
(* 1/2 (/ (pow x 3) (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)))))))
(/ 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)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(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)))))))
(/ 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)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
2
(+ 2 (* -2/3 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/9 (pow x 2)) 2/3)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/9 (* -2/27 (pow x 2)))) 2/3)))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
1/2
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(* 1/2 (/ x (E)))
(* 1/2 (/ x (E)))
(* 1/2 (/ x (E)))
(* 1/2 (/ x (E)))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* 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 4))
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(* 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 (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 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) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(* 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)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 3) (E)))
(* 1/2 (/ (pow x 3) (E)))
(* 1/2 (/ (pow x 3) (E)))
(* 1/2 (/ (pow x 3) (E)))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(* 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)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(* 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)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(/ 6 (pow x 2))
(/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/2 (/ x (E)))
(* 1/2 (/ x (E)))
(* 1/2 (/ x (E)))
(* 1/2 (/ x (E)))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* 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 4))
(* (pow x 4) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(* 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 (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 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) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E)))))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ x (E))
(/ x (E))
(/ x (E))
(/ x (E))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(* 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)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 4) (E)))
(* 1/2 (/ (pow x 3) (E)))
(* 1/2 (/ (pow x 3) (E)))
(* 1/2 (/ (pow x 3) (E)))
(* 1/2 (/ (pow x 3) (E)))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(* 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)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(exp (- (pow x 2) 1))
(* 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)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(* 1/6 (/ (pow x 6) (E)))
(/ 6 (pow x 2))
(/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/2 (/ x (E)))
(* 1/2 (/ x (E)))
(* 1/2 (/ x (E)))
(* 1/2 (/ x (E)))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ (pow x 2) (E))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))

Outputs
(/ 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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64))
(+ (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 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x 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) (+ 1 (* 1/2 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (*.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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64))
(+ (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 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.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))
(+ (/ 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) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ x (E))
(/.f64 x (E.f64))
(/ x (E))
(/.f64 x (E.f64))
(/ x (E))
(/.f64 x (E.f64))
(/ x (E))
(/.f64 x (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) (* 1/2 (* (pow x 2) (exp -1))))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64))
(+ (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 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.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)))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64))
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E)))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64))
(* 1/2 (/ (pow x 4) (E)))
(.f64 (/.f64 x (E.f64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (pow x 4) (E)))
(.f64 (/.f64 x (E.f64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (pow x 4) (E)))
(.f64 (/.f64 x (E.f64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (pow x 4) (E)))
(.f64 (/.f64 x (E.f64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (pow x 3) (E)))
(.f64 (.f64 (/.f64 (*.f64 x x) (E.f64)) #s(literal 1/2 binary64)) x)
(* 1/2 (/ (pow x 3) (E)))
(.f64 (.f64 (/.f64 (*.f64 x x) (E.f64)) #s(literal 1/2 binary64)) x)
(* 1/2 (/ (pow x 3) (E)))
(.f64 (.f64 (/.f64 (*.f64 x x) (E.f64)) #s(literal 1/2 binary64)) x)
(* 1/2 (/ (pow x 3) (E)))
(.f64 (.f64 (/.f64 (*.f64 x x) (E.f64)) #s(literal 1/2 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) (* 1/2 (* (pow x 2) (exp -1))))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64))
(+ (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 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.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)))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
(* 1/6 (/ (pow x 6) (E)))
(.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* 1/6 (/ (pow x 6) (E)))
(.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* 1/6 (/ (pow x 6) (E)))
(.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* 1/6 (/ (pow x 6) (E)))
(.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* 1/6 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(* 1/6 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(* 1/6 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(* 1/6 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64))
(+ (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 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.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)))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E)))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
(* 1/6 (/ (pow x 6) (E)))
(.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* 1/6 (/ (pow x 6) (E)))
(.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* 1/6 (/ (pow x 6) (E)))
(.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* 1/6 (/ (pow x 6) (E)))
(.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
2
#s(literal 2 binary64)
(+ 2 (* -2/3 (pow x 2)))
(fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 2/9 (pow x 2)) 2/3)))
(fma.f64 (fma.f64 #s(literal 2/9 binary64) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/9 (* -2/27 (pow x 2)))) 2/3)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/27 binary64) (.f64 x x) #s(literal 2/9 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
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(/.f64 x (E.f64))
(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)))
(* 1/2 (/ (pow x 4) (E)))
(.f64 (/.f64 x (E.f64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/2 binary64)))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E)))))
(.f64 (/.f64 x (E.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64))
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E))))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64))
(* 1/2 (/ (pow x 4) (E)))
(.f64 (/.f64 x (E.f64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (pow x 4) (E)))
(.f64 (/.f64 x (E.f64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (pow x 4) (E)))
(.f64 (/.f64 x (E.f64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (pow x 4) (E)))
(.f64 (/.f64 x (E.f64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/2 binary64)))
(* 1/2 (/ (pow x 3) (E)))
(.f64 (.f64 (/.f64 (*.f64 x x) (E.f64)) #s(literal 1/2 binary64)) x)
(* 1/2 (/ (pow x 3) (E)))
(.f64 (.f64 (/.f64 (*.f64 x x) (E.f64)) #s(literal 1/2 binary64)) x)
(* 1/2 (/ (pow x 3) (E)))
(.f64 (.f64 (/.f64 (*.f64 x x) (E.f64)) #s(literal 1/2 binary64)) x)
(* 1/2 (/ (pow x 3) (E)))
(.f64 (.f64 (/.f64 (*.f64 x x) (E.f64)) #s(literal 1/2 binary64)) x)
(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)))
(* 1/6 (/ (pow x 6) (E)))
(.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (E.f64)) (.f64 (*.f64 x x) x))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(.f64 (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.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)))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
(* 1/6 (/ (pow x 6) (E)))
(.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* 1/6 (/ (pow x 6) (E)))
(.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* 1/6 (/ (pow x 6) (E)))
(.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* 1/6 (/ (pow x 6) (E)))
(.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* 1/6 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(* 1/6 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(* 1/6 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(* 1/6 (pow x 3))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(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)))
(* 1/6 (/ (pow x 6) (E)))
(.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* (pow x 6) (+ (* 1/6 (/ 1 (E))) (* 1/2 (/ 1 (* (pow x 2) (E))))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (E.f64)) (.f64 (*.f64 x x) x))
(* (pow x 6) (+ (/ 1/2 (* (pow x 2) (E))) (+ (* 1/6 (/ 1 (E))) (/ 1 (* (pow x 4) (E))))))
(.f64 (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.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)))))))
(.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))
(* 1/6 (/ (pow x 6) (E)))
(.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* 1/6 (/ (pow x 6) (E)))
(.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* 1/6 (/ (pow x 6) (E)))
(.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(* 1/6 (/ (pow x 6) (E)))
(.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (- 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 54 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 6 binary64)) (/.f64 #s(literal 18 binary64) (.f64 x x))) (*.f64 x x))
(/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 54 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 6 binary64)) (/.f64 #s(literal 18 binary64) (.f64 x x))) (/.f64 #s(literal 162 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (/ x (E)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x)
(* 1/2 (/ x (E)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x)
(* 1/2 (/ x (E)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x)
(* 1/2 (/ x (E)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ (pow x 2) (E))
(/.f64 (*.f64 x x) (E.f64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))

rewrite168.0ms (1.9%)

Memory

-47.7MiB live, 206.3MiB allocated

Rules

4 750×	`lower-*.f32`
4 726×	`lower-*.f64`
4 390×	`lower-fma.f32`
4 386×	`lower-fma.f64`
4 208×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	534
0	95	494
1	358	447
2	2698	447
0	8801	419

Stop Event

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

Counts

27 → 533

Calls

Call 1

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

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

eval108.0ms (1.3%)

Memory: 20.4MiB live, 210.4MiB allocated
Compiler: Compiled 20 655 to 1 663 computations (91.9% saved)

prune171.0ms (2%)

Memory

-11.9MiB live, 187.8MiB allocated

Pruning

36 alts after pruning (31 fresh and 5 done)

	Pruned	Kept	Total
New	913	16	929
Fresh	5	15	20
Picked	3	2	5
Done	0	3	3
Total	921	36	957

Accuracy

100.0%

Counts

957 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.5%	(exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x)))
	75.2%	#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
	93.0%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (/.f64 x #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64)))
	87.4%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64)))
	57.2%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 x x)) (.f64 x x) #s(literal -1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal -1 binary64)) (E.f64))))
	75.2%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
	93.0%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 (fma.f64 (/.f64 x #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))))
	75.2%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
✓	50.6%	#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))
	68.4%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x))))) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	93.0%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( 1/6 (* x x)) 1/2)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	68.4%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	93.0%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (+.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
	45.9%	#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
	45.6%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (E.f64)) (.f64 (*.f64 x x) x))))
	45.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
	45.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (*.f64 x x) (E.f64)) x))))
	45.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x) x) (/.f64 x (E.f64))) x)))
✓	45.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
	45.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) x) (*.f64 (/.f64 x (/.f64 (E.f64) x)) x))))
	45.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (E.f64))) x))))
	45.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) x))))
	45.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
✓	45.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
	45.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (/.f64 x (E.f64)) x) x)))))
	45.5%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) x)))))
	40.0%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/2 binary64) x)) (E.f64))))
	40.3%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 x (E.f64)) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
	40.0%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (E.f64)) (.f64 x x)) x)))
	40.0%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) x) (.f64 x x))))
	40.0%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) x) x) x)))
✓	28.0%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64))))
	28.0%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 x (/.f64 (E.f64) x))))
	28.0%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
✓	28.0%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x)))
	28.0%	#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x)))

Compiler

Compiled 1 595 to 521 computations (67.3% saved)

regimes73.0ms (0.8%)

Memory

14.1MiB live, 87.9MiB allocated

Counts

59 → 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) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) x) x) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) x) (.f64 x x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (.f64 x x)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (E.f64)) (.f64 x x)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) (.f64 x #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/2 binary64) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 x (E.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 x (E.f64)) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* 1/2 (* x x)) 1) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (/.f64 x (E.f64)) x) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x) x) (/.f64 x (E.f64))) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (E.f64)) (.f64 (*.f64 x x) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) x) (*.f64 (/.f64 x (/.f64 (E.f64) x)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (/.f64 x #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (E.f64))) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (*.f64 x x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (+.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 (fma.f64 (/.f64 x #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( 1/6 (* x x)) 1/2)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) x))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 x x)) (.f64 x x) #s(literal -1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal -1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x))))) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
(exp.f64 #s(approx (+ (* x x) -1) (*.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:

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

regimes86.0ms (1%)

Memory

10.1MiB live, 48.5MiB allocated

Counts

57 → 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) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) x) x) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) x) (.f64 x x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (.f64 x x)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (E.f64)) (.f64 x x)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) (.f64 x #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/2 binary64) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 x (E.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 x (E.f64)) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* 1/2 (* x x)) 1) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (/.f64 x (E.f64)) x) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x) x) (/.f64 x (E.f64))) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (E.f64)) (.f64 (*.f64 x x) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) x) (*.f64 (/.f64 x (/.f64 (E.f64) x)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (/.f64 x #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (E.f64))) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (*.f64 x x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (+.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 (fma.f64 (/.f64 x #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( 1/6 (* x x)) 1/2)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) x))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 x x)) (.f64 x x) #s(literal -1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal -1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x))))) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
(exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x)))
(exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x)))

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

Calls

5 calls:

34.0ms	x
13.0ms	(*.f64 x x)
12.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
12.0ms	(neg.f64 (-.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%	2	`x`
100.0%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
100.0%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
100.0%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
100.0%	2	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes88.0ms (1%)

Memory

-9.0MiB live, 119.0MiB allocated

Counts

55 → 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) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) x) x) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) x) (.f64 x x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (.f64 x x)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (E.f64)) (.f64 x x)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) (.f64 x #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/2 binary64) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 x (E.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 x (E.f64)) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* 1/2 (* x x)) 1) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (/.f64 x (E.f64)) x) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x) x) (/.f64 x (E.f64))) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (E.f64)) (.f64 (*.f64 x x) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) x) (*.f64 (/.f64 x (/.f64 (E.f64) x)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (/.f64 x #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (E.f64))) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (*.f64 x x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (+.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 (fma.f64 (/.f64 x #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( 1/6 (* x x)) 1/2)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) x))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 x x)) (.f64 x x) #s(literal -1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x) #s(literal -1 binary64)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x))))) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))

Outputs

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

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

Calls

5 calls:

32.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
17.0ms	x
13.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
13.0ms	(*.f64 x x)
11.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
94.7%	2	`x`
93.0%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
94.7%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
94.7%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
94.7%	2	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes67.0ms (0.8%)

Memory

-14.9MiB live, 110.1MiB 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) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) x) x) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) x) (.f64 x x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (.f64 x x)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (E.f64)) (.f64 x x)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) (.f64 x #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/2 binary64) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 x (E.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 x (E.f64)) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* 1/2 (* x x)) 1) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (/.f64 x (E.f64)) x) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x) x) (/.f64 x (E.f64))) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (E.f64)) (.f64 (*.f64 x x) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) x) (*.f64 (/.f64 x (/.f64 (E.f64) x)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (/.f64 x #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (E.f64))) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (*.f64 x x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (+.f64 (/.f64 (.f64 x x) #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 (fma.f64 (/.f64 x #s(approx (/ 1 (+ (* 1/6 (* x x)) 1/2)) (/.f64 #s(literal 6 binary64) (.f64 x x)))) x #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( 1/6 (* x x)) 1/2)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))))) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (.f64 x x))) x))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))

Outputs

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

Calls

5 calls:

16.0ms	x
13.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
12.0ms	(*.f64 x x)
12.0ms	(-.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
93.0%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
93.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
93.0%	1	`x`
93.0%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
93.0%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes52.0ms (0.6%)

Memory

14.2MiB live, 89.2MiB allocated

Counts

39 → 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) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) x) x) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) x) (.f64 x x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (.f64 x x)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (E.f64)) (.f64 x x)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) (.f64 x #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/2 binary64) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 x (E.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 x (E.f64)) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* 1/2 (* x x)) 1) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 (.f64 (/.f64 x (E.f64)) x) x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) x) (.f64 (/.f64 (.f64 x x) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) x) x) (/.f64 x (E.f64))) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 (.f64 (.f64 x x) x) (E.f64)) x) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x x) (E.f64)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) x) (E.f64)) (.f64 (*.f64 x x) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) x) x) (*.f64 (/.f64 x (/.f64 (E.f64) x)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (E.f64))))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* (/ 1 (/ 1 (+ (* 1/6 (* x x)) 1/2))) (* x x)) 1) (* x x)) 1) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (E.f64))))

Outputs

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

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

Calls

5 calls:

11.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
11.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
10.0ms	x
9.0ms	(*.f64 x x)
8.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))

Results

Accuracy	Segments	Branch
93.0%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
93.0%	2	`x`
93.0%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
93.0%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
93.0%	2	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes36.0ms (0.4%)

Memory

18.1MiB live, 58.5MiB allocated

Counts

23 → 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) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) x) x) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) x) (.f64 x x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (.f64 x x)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (E.f64)) (.f64 x x)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) (.f64 x #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/2 binary64) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 x (E.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 x (E.f64)) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 #s(approx (+ ( (+ (* 1/2 (* x x)) 1) (* x x)) 1) (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))

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

Calls

5 calls:

11.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
6.0ms	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)))

Results

Accuracy	Segments	Branch
87.4%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
87.4%	1	`x`
87.4%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
87.4%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
87.4%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes29.0ms (0.3%)

Memory

8.5MiB live, 46.0MiB allocated

Counts

20 → 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) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) x) x) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) x) (.f64 x x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (.f64 x x)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (E.f64)) (.f64 x x)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) (.f64 x #s(literal 1/2 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 #s(literal 1/2 binary64) x)) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 x (E.f64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (/.f64 x (E.f64)) (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
87.5%	2	`x`
87.5%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
87.5%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
87.5%	2	`(*.f64 x x)`
87.5%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory

-7.5MiB live, 29.9MiB allocated

Counts

11 → 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) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64))))

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

Calls

5 calls:

6.0ms	(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
4.0ms	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
75.2%	1	`x`
75.2%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
75.2%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
75.2%	1	`(*.f64 x x)`
75.2%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes16.0ms (0.2%)

Memory

-11.7MiB live, 25.8MiB 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) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 (*.f64 x x) (E.f64))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 x (/.f64 (E.f64) x))))
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) x)))
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (/ 1 (E))) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x)))))

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

Calls

5 calls:

5.0ms	x
3.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
3.0ms	(*.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
75.2%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
75.2%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
75.2%	1	`x`
75.2%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
75.2%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB 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) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x)))

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

Outputs
#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) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x)))

Calls

5 calls:

2.0ms	x
2.0ms	(*.f64 x x)
1.0ms	(neg.f64 (-.f64 #s(literal 1 binary64) (*.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
75.0%	2	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
75.0%	2	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
75.0%	2	`x`
75.0%	2	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
75.0%	2	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory

-29.8MiB live, 10.3MiB 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:

9.0ms	(-.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(neg.f64 (-.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
50.6%	1	`(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))`
50.6%	1	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
50.6%	1	`x`
50.6%	1	`(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`
50.6%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.873799693505769e-9	1016893867157.8671

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	1.756809620212575e+149	3.830424964666029e+159

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	6.873799693505769e-9	1016893867157.8671

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.3678794437001719	+inf

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.873799693505769e-9	1016893867157.8671

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify43.0ms (0.5%)

Memory

10.8MiB live, 42.9MiB allocated

Algorithm

1×	egg-herbie

Rules

330×	`distribute-lft-neg-in_binary64`
194×	`neg-mul-1_binary64`
184×	`neg-sub0_binary64`
160×	`unsub-neg_binary64`
138×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	394
1	110	394
2	121	394
3	139	393
4	184	393
5	275	393
6	431	393
7	551	393
8	670	393
9	766	393
10	855	393
11	948	393
12	1025	393
13	1075	393
14	1093	393
15	1096	393

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 3022314549036573/302231454903657293676544 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64)))) (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 200000000000000009795345315030104115914445400706148777749008474918033652718676951232246305849455292758622612936302055352410686583732517043420455239680 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 x x)) (.f64 x x) #s(literal -1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal -1 binary64)) (E.f64)))) #s(approx (exp (neg (- 1 ( x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
(if (<=.f64 (.f64 x x) #s(literal 3022314549036573/302231454903657293676544 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) x))))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1/2 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (.f64 x x) #s(literal 3022314549036573/302231454903657293676544 binary64)) #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) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))

Outputs
(exp.f64 (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 3022314549036573/302231454903657293676544 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64)))) (exp.f64 #s(approx (neg (- 1 (* x x))) (*.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 200000000000000009795345315030104115914445400706148777749008474918033652718676951232246305849455292758622612936302055352410686583732517043420455239680 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 x x)) (.f64 x x) #s(literal -1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal -1 binary64)) (E.f64)))) #s(approx (exp (neg (- 1 ( x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x)))))
(if (<=.f64 (.f64 x x) #s(literal 200000000000000009795345315030104115914445400706148777749008474918033652718676951232246305849455292758622612936302055352410686583732517043420455239680 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 x x)) (.f64 x x) #s(literal -1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal -1 binary64)) (E.f64)))) #s(approx (exp (neg (- 1 ( x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (.f64 (.f64 x x) x)))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))))
#s(approx (exp (neg (- 1 (* x x)))) (.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 3022314549036573/302231454903657293676544 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) x))))))
(if (<=.f64 (.f64 x x) #s(literal 3022314549036573/302231454903657293676544 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* (+ (* 1/6 (* x x)) 1/2) (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) x) x) (.f64 x x)) #s(literal 1/6 binary64)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 x x) #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1/2 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (.f64 x x) x) (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x)))))
(if (<=.f64 (exp.f64 (-.f64 (.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(approx (exp (neg (- 1 ( x x)))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64)))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* (+ (* 1/2 (* x x)) 1) (* x x)) 1) (/ 1 (E))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (E.f64)) x) (.f64 (.f64 x x) x)))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (.f64 x x) (E.f64) (E.f64)) (.f64 (E.f64) (E.f64))))
#s(approx (exp (+ (* x x) -1)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))
(if (<=.f64 (.f64 x x) #s(literal 3022314549036573/302231454903657293676544 binary64)) #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) (/ 1 (E))) (*.f64 (/.f64 x (E.f64)) x))))
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (E.f64)))

soundness1.5s (17.1%)

Memory

-3.5MiB live, 449.2MiB allocated

Rules

17 540×	`lower-fma.f64`
17 540×	`lower-fma.f32`
9 734×	`lower-fma.f64`
9 734×	`lower-fma.f32`
5 936×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1588
1	359	1548
2	990	1444
3	2738	1428
4	5460	1418
5	6834	1418
6	7373	1418
0	8011	1222
0	30	254
1	81	241
2	247	237
3	605	234
4	1328	234
5	2025	234
6	3122	234
7	5538	234
0	8219	211
0	55	384
0	87	310
1	320	299
2	1981	299
0	8573	295
0	27	188
0	46	176
1	205	166
2	1577	166
0	8369	166
0	6	21
0	10	21
1	37	19
2	227	19
3	1923	19
0	9304	16

Stop Event

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

Compiler

Compiled 479 to 210 computations (56.2% saved)

preprocess84.0ms (1%)

Memory: 18.0MiB live, 57.0MiB allocated
Remove: (abs x)
Compiler: Compiled 490 to 132 computations (73.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample790.0ms (9.1%)

explain116.0ms (1.3%)

preprocess330.0ms (3.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify129.0ms (1.5%)

localize17.0ms (0.2%)

series4.0ms (0%)

simplify208.0ms (2.4%)

rewrite219.0ms (2.5%)

eval86.0ms (1%)

prune107.0ms (1.2%)

simplify167.0ms (1.9%)

localize106.0ms (1.2%)

series14.0ms (0.2%)

simplify195.0ms (2.2%)

rewrite218.0ms (2.5%)

eval454.0ms (5.2%)

prune534.0ms (6.2%)

simplify189.0ms (2.2%)

localize325.0ms (3.8%)

series26.0ms (0.3%)

simplify225.0ms (2.6%)

rewrite194.0ms (2.2%)

eval610.0ms (7%)

prune313.0ms (3.6%)

simplify114.0ms (1.3%)

localize179.0ms (2.1%)

series61.0ms (0.7%)

simplify181.0ms (2.1%)

rewrite168.0ms (1.9%)

eval108.0ms (1.3%)

prune171.0ms (2%)

regimes73.0ms (0.8%)

regimes86.0ms (1%)

regimes88.0ms (1%)

regimes67.0ms (0.8%)

regimes52.0ms (0.6%)

regimes36.0ms (0.4%)

regimes29.0ms (0.3%)

regimes19.0ms (0.2%)

regimes16.0ms (0.2%)

regimes8.0ms (0.1%)

regimes14.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify43.0ms (0.5%)

soundness1.5s (17.1%)

preprocess84.0ms (1%)

end0.0ms (0%)

Profiling